Exempt Organization Business Income Tax Return

Size: px
Start display at page:

Download "Exempt Organization Business Income Tax Return"

Transcription

1 Form 0-T Deprtment of the Tresury nternl Revenue Servie A [Chekoxif ddress hnged Exempt Orgniztion Business nome Tx Return (nd proxy tx under setion 0(e)) Forlendryer 0 orothertxyereginning JUL,, 0,ndending JUN 0, 0 nformtion out Form 0-T T nd its instrutions is ville t wwwirsgov/form0t B Exempt [ 0 under setion Print UND ALUMN ASSOCATON AND FOUNDATON X ( [ 0 0( )( ) [ 0 ) or Numer, street, nd room or suite no f PO ox, see instrutions Type 0(e) [ 0 A [ 0 0(e) 0 UNVERSTY AVENUE STOP [ 0A 0() City or town, stte or provine, ountry, nd ZP or foreign postl ode () ) GRAND FORKS, ND ND 0 0 E Unrelted usiness tivity odes (See instrutions) Bookvlueofllssets of ll ssets C t t e end n d o of f y yer e r F Group G exemption numer (See instrutions) 0 G Chek orgniztion type X 0() orportion 0() trust 0() trust Other trust 0 G Chek orgniztion type [ ALUMN TOURS, ADVERTSNG, SALES During the tx yer, ws the orportion susidiry in n ffilited group or prent-susidiry - ontrolled group? ~ ~ ~ ~ ~ ~ Yes [ X H Desrie the orgniztion's primry unrelted usiness tivity ~~~~~~ Yes X No f "Yes," enter the nme nd identifying numer of the prent orportion J The ooks re in re of Telephone numer (A) nome (B) Expenses (C) Net J The ooks re in re of LAURA BLOCK Telephone numer (0)( ) - Prt Unrelted Trde or or Business nome (A) nome (B) Expenses (C) Net Gross reeiptsorsles sles, Less returns nd llownes Blne ~~~ ~ ~ ~, Cost of goods sold (Shedule A, line ) ) ~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Gross profit Sutrt t line from line ~ ~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Cpitl gin net net inome (tth Shedule D) ~~~~~~~~~~~~~~~ D) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 0 0 Net gin (loss) (Form,, Prt, line ) ) (tth Form ) ) ~ ~~~~~~ ~ ~ ~ ~ ~ Cpitl loss dedution for for trusts trusts ~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ nome (loss) from prtnerships nd S orportions (tth sttement) ~~~ ~ ~ ~ Rent inome (Shedule C) C) ~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Unrelted det-finned - inome (Shedule E) E) ~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ nterest, nnuities, roylties, nd rents from ontrolled orgniztions (Sh F)~ ~ nvestment inome of of setion t 0()(), ), (),( or ()( ) orgniztion (Shedule G) Exploited exempt tivity t ivit inome y inome (Shedule (Shedule ) ~~~~~~~~~~~~~~ ) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Advertising t ising inome (Shedule J) ~~~~~~~~~~~~~~~~~~~~ J) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Other inome (See instrutions; tth shedule) ~ ~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Totl Cominelines through, Dedutions Not Tken Elsewhere (See instrutions for limittions on dedutions) (Exept for ontriutions, dedutions must e diretly onneted with the unrelted usiness inome) Prt 0 0,,,, -, -, -, -, 0, 0,,, 0,, Compenstion of of offiers, diretors, nd nd trustees trustees (Shedule (Shedule K) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ K) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Slries nd nd wges ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Repirs nd mintenne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Bddets dets ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ nterest (tth shedule) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Txes nd lienses ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Chritle ontriutions (See instrutions for limittion rules) ~S STATEMENT ~ T ~ A ~ T ~ E ~ M ~ E ~ N ~ T ~~ ~~~ SEE S ~ E ~ E ~ ~ STATEMENT S ~ T ~ A ~ T ~ E ~ M ~ E ~ N ~ T ~ ~ ~ Depreition (tth Form ) ) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Less depreition limed on Shedule A nd elsewhere on return ~ ~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Depletion ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 0 0 For lendr yer 0 or other tx yer eginning, nd ending Contriutions to to deferred ompenstion plns plns ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Employee enefit progrms ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Exess exempt expenses (Shedule (Shedule ) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Exess redership osts osts (Shedule J) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ J) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~S ~ E ~ E ~ ~ S ~ T ~ A ~ T ~ E ~ M ~ E ~ N Other dedutions (tth shedule) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ T ~ ~ ~ Totl dedutions Add lines through ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Unrelted usiness txle inome efore speifi dedution Sutrt line from line 0 ~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Speifi dedution (Generlly $,000, $,, ut see line instrutions for for exeptions) ~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Unrelted usiness txle inome Sutrt line from line f line is greter thn line,, enter the smller of zero or line LHA For Pperwork Redution At Notie, see instrutions, 0,, 0 -, OMB No -0 Do not enter SSN on this s it e if Open to Puli nspetion for Do not enter SSN numers on this form s it my e mde puli if your orgniztion is 0()() ) 0()() Orgniztions Only [ Employer identifition numer Nme of orgniztion ( X Chek ox if nme hnged nd see instrutions) D (Employees' trust, see instrutions) Chritle ontriutions (See instrutions for limittion rules) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Unrelted usiness txle inome efore net operting loss dedution Sutrt line from line ~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Net operting loss dedution (limited to the mount on line 0) ) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~S SEE ~ E ~ E STATEMENT S ~ T ~ A ~ T ~ E ~ M ~ E ~ N ~ T ~ -,,00 -, Form 0- T (0) ) UND ALUMN ASSOCATON AN 0 SEE STATEMENT T

2 SCHEDULE D (Form 0) ) Deprtment of the Tresury nternl Revenue Servie Nme OMB No -0 - Cpitl Gins nd Losses 0 Atth to Form 0,, 0-C, 0-F, 0-FSC, 0-H, 0-C-DSC, - 0-L, 0-ND, 0-PC, 0-POL, 0-RET, 0-RC, 0-SF, or ertin Forms 0-T nformtion out Shedule D (Form 0) ) nd its seprte instrutions is t wwwirsgov/form UND ALUMN ASSOCATON AND FOUNDATON Employer identifition numer UND ALUMN ASSOCATON AND FOUNDATON Prt Short-Term - Cpitl Gins nd Losses - Assets Held One Yer or Less See instrutions for how to figure the mounts to enter on the lines elow (d) (e) (g) Adjustments to gin (h) Proeeds CostC o or loss from Form(s),, This form my e esier to omplete if you (sles prie) (or other sis) Prt, line,, olumn (g) round off ents to whole dollrs Totls for ll short-term - term trnstions reported on Form 0-B B for whih sis ws reported to the RS nd for whih you hve no djustments (see instrutions) However, if you hoose to report ll these trnstions on Form,, leve this line lnk ndgotoline Totls for ll trnstions reported on Form(s) with BoxA A heked Totls for ll trnstions reported on Form(s) with BoxB B heked Totls for ll trnstions reported on Form(s) with Box C heked Short-term - term pitl gin from instllment sles from Form,, line or ~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Short-term - term pitl gin or (loss) from like-kind - kind exhnges from Form ~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Unused pitl loss rryover (tth (tth omputtion) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Net short-term - term pitl gin or (loss) Comine lines through in olumn h -0 (h) Gin or (loss) Sutrt olumn (e) from olumn ( (d) d ) nd omine the result with olumn (g) ( ) Prt P t L Long-Term C Cpitl l Gins G i nsnd d Losses L - A Assets t s Held H e More M Thn One Yer See instrutions for how to figure the mounts to enter on the lines elow (d) (e) (g) Adjustments to gin (h) Gin or (loss) Sutrt Proeeds Cost or loss from Form(s),, olumn (e) from olumn ( (d) d ) nd This form my e esier to omplete if you (sles prie) (or other sis) Prt, line,, olumn (g) omine the result with olumn (g) round off ents to whole dollrs Totls for ll long-term - trnstions reported on Form 0-B B for whih sis ws reported to the RS nd for whih you hve no djustments (see instrutions) However, if you hoose to report ll these trnstions on Form,, leve this line lnk nd go to line Totls for ll trnstions reported on Form(s) with Box D heked Totls for ll trnstions reported on Form(s) with Box E heked 0 Totls for ll trnstions reported on Form(s) with Box F heked Enter gin from Form,, line or ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Long-term - pitl gin from instllment sles from Form,, line or ~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Long-term - pitl gin or (loss) from like-kind - kind exhnges from Form ~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Cpitl gin distriutions ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Net long-term - pitl gin or (loss) Comine lines through in olumn h Prt Summry of Prts nd Enter exess of net short-term - term pitl gin (line ) ) over net long-term - pitl loss (line ) ) ~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Net pitl gin Enter exess of net long-term - pitl gin (line ) ) over net short-term - term pitl loss (line ) ) ~ ~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ Add lines nd Enter here nd on Form 0,, pge,, line,, or the proper line line on on other other returns returns ~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 0, 0, 0,, 0 Note f losses exeed gins, see Cpitl losses in the instrutions JWA For Pperwork Redution At Notie, see the nstrutions for Form Shedule D (Form 0) ) (0)( ) UND ALUMN ASSOCATON AN

3 Form 0-T T( (0) ) UND ALUMN ASSOCATON AND FOUNDATON Pge Prt Tx Computtion Orgniztions Txle s Corportions See instrutions for tx omputtion Controlled group memers (setions nd ) ) hek here here X See instrutions nd: Enter your shre of the $0,000, $, 000, $ $,000,,, nd $,,000 $,, txle inome rkets (in tht order): () $ 0,00 () $,00 () $,,00 ( ) $ 0, 00 ( ) $, 00 ( ) $,, 00 Enter orgniztion's shre of: () ) Additionl tx (not more thn $,0) $, ) $ () ) Additionl tx (not more thn $00,000) $, 000 ) ~~~~~~~~~~~~~ $ nome tx on the mount on line ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Trusts Txle t Trust Rtes See instrutions for tx omputtion nome tx on the mount on line from: Tx rte shedule or Shedule D (Form 0) ) ~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Proxy tx See instrutions ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ tx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Alterntive minimum tx ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Totl Add lines nd to line or, whihever pplies Prt V Tx nd Pyments 0 Foreign tx redit (orportions tth Form ; ; trusts tth Form ) ) ~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ Other redits (see (see instrutions) ~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Generl usiness redit Atth Form 00 ~ ~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ d Credit for prior yer minimum tx (tth Form 0 or ) ) ~ ~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ dd e Totl redits Add lines 0 through 0d d ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Sutrt line 0e e from line ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Other txes Chek if from: Form Form Form Form Other (tth shedule) Totltx tx Addlines nd ~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Pyments: A 0 overpyment redited to 0 ~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 0 estimted tx pyments ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Tx deposited with Form ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ d Foreign orgniztions: Tx pid or withheld t soure (see instrutions) ~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ d d e Bkup withholding (see instrutions) (see instrutions) ~~~~~~~~~~~~~~~~~~~~~~~~ e e f Credit for smll employer helth insurne premiums (Atth Form ) ) ~~~~~~~~ f f g Other redits nd pyments: Form Form Other Totl g g Totl pyments Add lines through g g ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Estimted tx penlty (see instrutions) Chek if Form 0 is tthed ~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Tx due f line is less thn the totl of lines nd,, enter mount owed owed ~~~~~~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Overpyment f line is lrger thn the totl of lines nd,, enter mount overpid ~~~~~~~~~~~~~~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Enter the mount of line you wnt: Credited to 0 estimted tx Prt V Sttements Regrding Certin Ativities nd Other nformtion (see instrutions) At ny time during the 0 lendr yer, did the orgniztion hve n interest in or signture or other uthority over finnil ount (nk, Yes No seurities, or other) in foreign ountry? f f YES, the orgniztion my hve to file Form FinCEN Form,, Report of Foreign Bnk nd Finnil Aounts f YES, enter the the nme of of the the foreign ountry here here During the tx yer, did the orgniztion reeive distriution from, or ws it the grntor of, or trnsferor to, foreign trust? f YES, see instrutions for other forms the orgniztion my hve to file ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Enter the mount of tx-exempt interest reeived or rued during the tx yer $ Shedule A - Cost of Goods Sold Enter method of inventory vlution N/A nventory t t eginning of of yer yer ~~~ nventory t t end end of yer of yer ~~~~~~~~~~~~ Purhses ~~~~~~~~~~~ Cost of of goods sold Sutrt line Cost of of lor~~~~~~~~~~~ from line Enter here nd in Prt, line ~~~~ Additionl setion A A osts (tt shedule) Do Do the rules of setion A A (with respet to Other osts (tth shedule) ~~~ property produed or quired for resle) pply to Enter method of inventory vlution Refunded Totl Add lines through the orgniztion?? Under penlties of perjury, delre tht hve exmined this return, inluding ompnying shedules nd sttements, nd to the est of my knowledge nd elief, it is true, orret, nd omplete Delrtion of preprer (other thn txpyer) is sed on ll informtion of whih p preprer hs ny knowledge Sign CHEF FNANCAL H Mythe RS disussthisr return with Here O OFFCER the preprershown elow(see = Signture of offier Dte =Title = Title i instrutions)? )? X Yes No Print/Type preprer's nme Preprer's signture Dte Chek if PTN LAWRENCE H MOHR, Pid self- - employed CPA P Preprer Firm's nme BAKER TLLY VRCHOW KRAUSE, LLP Firm's EN -00 Use Only S TH ST #00 Firm's ddress MNNEAPOLS, MN 0 Phone no Form 0-TT (0) UND ALUMN ASSOCATON AN X X Yes No UND ALUMN ASSOCATON AN 0e

4 UND ALUMN ASSOCATON AND FOUNDATON Shedule C - Rent nome (From Rel Property nd Personl Property Lesed With Rel Property) (see instrutions) Form0-T(0) UND ALUMN ASSOCATON AND FOUNDATON Pge Desription of property () () () () Rent reeived or rued () () () () From personl property (if the perentge of () From rel nd personl property (if the perentge rent for personl property is more thn of rent for personl property exeeds 0 or if 0 ut not more thn 0) the rent is sed on profit or inome) () Totl Totl () Dedutions diretly onneted with the inome in olumns () nd () (tth shedule) () Totl inome Add totls of olumns () nd () Enter () Totl dedutions,, Enter here nd on pge,, here nd on pge, Prt, line, olumn (A) Prt, line,, olumn (B) 0 S Shedule h e d u l e E E- - U Unrelted l t e d Det-Finned D e d nome (see instrutions) Dedutions diretly onneted with or llole Gross inome from to det-finned - property or llole to det- - - Stright line depreition Desription of det-finned property () () Other dedutions finned property (tth shedule) (tth shedule) 0 () () () () Amount of verge quisition Averge djusted sis Column divided Gross inome Allole dedutions det on or llole to det-finned - of or llole to y olumn reportle (olumn (olumn x totl of olumns property (tth shedule) det-finned - property x olumn ) ) () nd ()) (tth shedule) () () () () Enter here nd on pge,, Enter here nd on pge,, Prt, line,, olumn (A) Prt, line,, olumn (B) Totls ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Totl dividends - reeived dedutions inluded in olumn Totl dividends-reeived dedutions Shedule F - nterest, Annuities, Roylties, nd Rents From Controlled Orgniztions (see instrutions) Exempt Controlled Orgniztions Nme of ontrolled orgniztion Prt of olumn tht is Dedutions diretly Employer identifition Net unrelted inome Totl of speified inluded in the ontrolling onneted with inome numer (loss) (see instrutions) pyments mde orgniztion's gross inome in olumn () () () () Nonexempt e Controlled Orgniztions Txle nome Net unrelted inome (loss) Totl of speified pyments Prt of olumn tht is inluded Dedutions diretly onneted (see instrutions) mde in the ontrolling orgniztion's with inome in olumn 0 gross inome () () () () Add olumns nd Add olumns nd Enter here nd on pge,, Prt, Enter here nd on pge,, Prt, line,, olumn (A) line,, olumn (B) Totls J J Form 0-T 0- T (0) ) 000 UND ALUMN ASSOCATON AN UND ALUMN ASSOCATON AN

5 UND ALUMN ASSOCATON AND FOUNDATON } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ FORM 0-T CONTRBUTONS DESCRPTON/KND OF PROPERTY METHOD USED TO DETERMNE FMV } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } K- PASSTHROUGH - CASH N/A } } } } } } } } } } ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ STATEMENT UND ALUMN ASSOCATON AND FOUNDATON }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} }}}}}}}}}} AMOUNT } } } } } } } } } DESCRPTON/KND OF PROPERTY METHOD USED TO DETERMNE FMV AMOUNT }}}}}}}}}}}}}}}}}}}}}}}}}}}} }}}}}}}}}}}}}}}}}}}}}}}}}}}} }}}}}}}}}}}}}} K- PASSTHROUGH - CASH N/A }}}}}}}}}}}}}} TOTAL TO FORM 0-T, PAGE, LNE 0 ~~~~~~~~~~~~~~ FORM 0-T OTHER DEDUCTONS STATEMENT DESCRPTON AMOUNT }}}}}}}}}}}} } } } } } } } } } } }}}}}}}}}}}}}} } } } } } } } } } POSTAGE }}}}}}}}}}}}}} TOTAL TO FORM 0-T, PAGE, LNE ~~~~~~~~~~~~~~ STATEMENT(S),, UND ALUMN ASSOCATON AN

6 UND ALUMN ASSOCATON AND FOUNDATON }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} }}}}}}}}}} FORM 0-T CONTRBUTONS SUMMARY STATEMENT QUALFED CONTRBUTONS SUBJECT TO 00 LMT CARRYOVER OF PROR YEARS UNUSED CONTRBUTONS FOR TAX YEAR 00 FOR TAX YEAR 00 0 FOR TAX YEAR 0 FOR TAX YEAR 0 FOR TAX YEAR 0 0 TOTAL CARRYOVER TOTAL CURRENT YEAR 0 CONTRBUTONS 0 TOTAL CONTRBUTONS AVALABLE TAXABLE NCOME LMTATON AS ADJUSTED 0 EXCESS 0 CONTRBUTONS EXCESS 00 CONTRBUTONS 0 TOTAL EXCESS CONTRBUTONS ALLOWABLE CONTRBUTONS DEDUCTON 0 TOTAL CONTRBUTON DEDUCTON 0 STATEMENT(S) UND ALUMN ASSOCATON AN

7 UND ALUMN ASSOCATON AND FOUNDATON FORM 0-T NET OPERATNG LOSS DEDUCTON } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } LOSS PREVOUSLY LOSS TAX YEAR LOSS SUSTANED APPLED REMANNG } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } } 0/0/0,, 0/0/0,, 0/0/0,, 0/0/0,, 0/0/0,,, 0/0/0,, 0/0/,, 0/0/ 0, 0, 0/0/,, 0/0/ } } } } } } } } NOL CARRYOVER AVALABLE THS YEAR, -0 UND ALUMN ASSOCATON AND FOUNDATON }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}} }}}}}}}}}} STATEMENT AVA LABLE THS YEAR PREVOUSLY LOSS AVALABLE TAX YEAR LOSS SUSTANED APPLED REMANNG THS YEAR }}}}}}}} }}}}}}}}}}}}}} }}}}}}}}}}}}}} }}}}}}}}}}}}}} }}}}}}}}}}}}}} 0/0/0,, 0/0/0,, 0/0/0,,, 0/0/0,,, 0/0/0,,,, 0/0/0,,, 0/0/,,, 0/0/ 0, 0, 0, 0/0/,,, 0/0/ }}}}}}}}}}}}}} }}}}}}}}}}}}}} NOL CARRYOVER AVALABLE THS YEAR,, ~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~ 0,,,,0, 0,, 0 } } } } } } } }, FORM 0-T NCOME (LOSS) FROM PARTNERSHPS STATEMENT PARTNERSHP NAME } } } } } } } } } } } } } } } } COMMONFUND GLOBAL DSTRESSED PARTNERS, LP #-00 COMMONFUND CAPTAL VENTURE PARTNERS V, LP #-00 COMMONFUND CAPTAL NTERNATONAL PARTNERS V, LP #0-0 COMMONFUND CAPTAL PRVATE EQUTY PARTNERS V LP #0-00 COMMONFUND CAPTAL NATURAL RESOURCES PARTNERS V, LP #-0 0 COMMONFUND GLOBAL DSTRESSED NVESTORS, LLC #- COMMONFUND CAPTAL NATURAL RESOURCES PARTNERS V, LP #-0 GROSS NCOME DEDUCTONS - - -,,, 0, 0, } } } } } } } } } } } } } }, 0, NET NCOME OR (LOSS) PARTNERSHP NAME GROSS NCOME DEDUCTONS OR (LOSS) }}}}}}}}}}}}}}}} }}}}}}}}}}}} }}}}}}}}}}}} }}}}}}}}}}}}}} - PARTNERS, LP # V, LP # PARTNERS V, LP #0-0 -, PARTNERS V LP #0-00 -, -, -, #-00,, -, NVESTORS, LLC #- -, } } } } } } } } -, #-0 0, 0, -, }}}}}}}}}}}} }}}}}}}}}}}} }}}}}}}}}}}}}} TOTAL TO FORM 0-T, PAGE, LNE, 0, -, ~~~~~~~~~~~~ ~~~~~~~~~~~~ ~~~~~~~~~~~~~~ STATEMENT(S),, UND ALUMN ASSOCATON AN

XII (Commerce) (Accountancy)

XII (Commerce) (Accountancy) XII (Commere) (Aountny) Time : 3 Hrs. + 15 Minute (Extr)] [Totl Mrks ; 100] Generl Instrutions There is No negtive mrking for ny wrong nswer pper There re two setions in the question I (Setion-I) (Ojetive

More information

PUBLIC DISCLOSURE COPY. Do Do not not enter social security numbers on on this form as it it may be made public. Open topublic

PUBLIC DISCLOSURE COPY. Do Do not not enter social security numbers on on this form as it it may be made public. Open topublic Return of Orgniztion n ExemptFrom nome Tx 0 Uner setion 0(),,, or ()() ) of the nternl Revenue Coe (exept privte fountions) OMB. Form 0 Deprtment of the Tresury Do Do not not enter soil seurity numers

More information

Instructions to students: Use your Text Book and attempt these questions.

Instructions to students: Use your Text Book and attempt these questions. Instrutions to students: Use your Text Book nd ttempt these questions. Due Dte: 16-09-2018 Unit 2 Chpter 8 Test Slrs nd vetors Totl mrks 50 Nme: Clss: Dte: Setion A Selet the est nswer for eh question.

More information

GM1 Consolidation Worksheet

GM1 Consolidation Worksheet Cmridge Essentils Mthemtis Core 8 GM1 Consolidtion Worksheet GM1 Consolidtion Worksheet 1 Clulte the size of eh ngle mrked y letter. Give resons for your nswers. or exmple, ngles on stright line dd up

More information

ISee back of form and separate instructions.

ISee back of form and separate instructions. Schedule -1 (orm 1065) epartment of the Treasury nternal Revenue Service À¾µ or calendar year 2010, or tax year beginning ending Partner's Share of ncome, eductions, redits, etc. Part See back of form

More information

16z z q. q( B) Max{2 z z z z B} r z r z r z r z B. John Riley 19 October Econ 401A: Microeconomic Theory. Homework 2 Answers

16z z q. q( B) Max{2 z z z z B} r z r z r z r z B. John Riley 19 October Econ 401A: Microeconomic Theory. Homework 2 Answers John Riley 9 Otober 6 Eon 4A: Miroeonomi Theory Homework Answers Constnt returns to sle prodution funtion () If (,, q) S then 6 q () 4 We need to show tht (,, q) S 6( ) ( ) ( q) q [ q ] 4 4 4 4 4 4 Appeling

More information

21.1 Using Formulae Construct and Use Simple Formulae Revision of Negative Numbers Substitution into Formulae

21.1 Using Formulae Construct and Use Simple Formulae Revision of Negative Numbers Substitution into Formulae MEP Jmi: STRAND G UNIT 1 Formule: Student Tet Contents STRAND G: Alger Unit 1 Formule Student Tet Contents Setion 1.1 Using Formule 1. Construt nd Use Simple Formule 1.3 Revision of Negtive Numers 1.4

More information

Return of Private Foundation

Return of Private Foundation Form or Section 447(a)(1) Trust Treated as Private Foundation Department of the Treasury Do not enter social security numbers on this form as it may be made public. Internal Revenue Service Go to www.irs.gov/form0pf

More information

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions

Activities. 4.1 Pythagoras' Theorem 4.2 Spirals 4.3 Clinometers 4.4 Radar 4.5 Posting Parcels 4.6 Interlocking Pipes 4.7 Sine Rule Notes and Solutions MEP: Demonstrtion Projet UNIT 4: Trigonometry UNIT 4 Trigonometry tivities tivities 4. Pythgors' Theorem 4.2 Spirls 4.3 linometers 4.4 Rdr 4.5 Posting Prels 4.6 Interloking Pipes 4.7 Sine Rule Notes nd

More information

Wage and Income Transcript. Form 1099-B Proceeds From Broker and Barter Exchange Transactions

Wage and Income Transcript. Form 1099-B Proceeds From Broker and Barter Exchange Transactions This Product Contains Sensitive Taxpayer Data Wage and Income Transcript Request Date: 06-08-2013 Response Date: 06-08-2013 Tracking Number: 100163598522 SSN Provided: 297-44-3727 Tax Period Requested:

More information

How to Calculate Form Line 15

How to Calculate Form Line 15 How to Calculate Form 8621 - Line 15 2013-2015 Comprehensive Example Mary Beth Lougen EA USTCP Chief Operating Officer Expat Tax Tools B.Lougen@f8621.com 1 (844) 312-8670 ext. 402 www.f8621.com www.expattaxtools.com

More information

Tax Return Transcript

Tax Return Transcript This Product Contains Sensitive Taxpayer Data Request Date: 01-23-2008 Response Date: 01-23-2008 Tax Return Transcript IRS Employee Number: QCW-- Tracking Number: 10002281XXXX EIN Provided: 75-2XXXXXX

More information

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3 2 The Prllel Circuit Electric Circuits: Figure 2- elow show ttery nd multiple resistors rrnged in prllel. Ech resistor receives portion of the current from the ttery sed on its resistnce. The split is

More information

PYTHAGORAS THEOREM WHAT S IN CHAPTER 1? IN THIS CHAPTER YOU WILL:

PYTHAGORAS THEOREM WHAT S IN CHAPTER 1? IN THIS CHAPTER YOU WILL: PYTHAGORAS THEOREM 1 WHAT S IN CHAPTER 1? 1 01 Squres, squre roots nd surds 1 02 Pythgors theorem 1 03 Finding the hypotenuse 1 04 Finding shorter side 1 05 Mixed prolems 1 06 Testing for right-ngled tringles

More information

PUBLIC DISCLOSURE COPY

PUBLIC DISCLOSURE COPY PUBLIC DISCLOSURE COPY PLEASE FILE IN A SAFE PLACE ARMANINO LLP 12657 Alcosta Blvd., Suite 500 San Ramon, CA 94583 ph 925.790.2600 fx 925.790.2601 Form or Section 4947(a)(1) Trust Treated as Private Foundation

More information

THE BUSH FOUNDATION. 990-PF and 990-T Returns Public Inspection Copy. For the Year Ended December 31, 2014

THE BUSH FOUNDATION. 990-PF and 990-T Returns Public Inspection Copy. For the Year Ended December 31, 2014 THE BUSH FOUNDATION 0-PF and 0-T Returns Public Inspection Copy For the Year Ended December 31, 2014 600 INWOOD AVENUE NORTH SUITE 160 OAKDALE, MN 55128 TEL: (651) 636-3806 FA: (651) 636-1136 www.akinshenke.com

More information

Section 1.3 Triangles

Section 1.3 Triangles Se 1.3 Tringles 21 Setion 1.3 Tringles LELING TRINGLE The line segments tht form tringle re lled the sides of the tringle. Eh pir of sides forms n ngle, lled n interior ngle, nd eh tringle hs three interior

More information

THE PYTHAGOREAN THEOREM

THE PYTHAGOREAN THEOREM THE PYTHAGOREAN THEOREM The Pythgoren Theorem is one of the most well-known nd widely used theorems in mthemtis. We will first look t n informl investigtion of the Pythgoren Theorem, nd then pply this

More information

Exercise 3 Logic Control

Exercise 3 Logic Control Exerise 3 Logi Control OBJECTIVE The ojetive of this exerise is giving n introdution to pplition of Logi Control System (LCS). Tody, LCS is implemented through Progrmmle Logi Controller (PLC) whih is lled

More information

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

1 PYTHAGORAS THEOREM 1. Given a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 PYTHAGORAS THEOREM 1 1 Pythgors Theorem In this setion we will present geometri proof of the fmous theorem of Pythgors. Given right ngled tringle, the squre of the hypotenuse is equl to the sum of the

More information

MA 15910, Lessons 2a and 2b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1.2 and 2.1

MA 15910, Lessons 2a and 2b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1.2 and 2.1 MA 15910, Lessons nd Introduction to Functions Alger: Sections 3.5 nd 7.4 Clculus: Sections 1. nd.1 Representing n Intervl Set of Numers Inequlity Symol Numer Line Grph Intervl Nottion ) (, ) ( (, ) ]

More information

Mathematics SKE: STRAND F. F1.1 Using Formulae. F1.2 Construct and Use Simple Formulae. F1.3 Revision of Negative Numbers

Mathematics SKE: STRAND F. F1.1 Using Formulae. F1.2 Construct and Use Simple Formulae. F1.3 Revision of Negative Numbers Mthemtis SKE: STRAND F UNIT F1 Formule: Tet STRAND F: Alger F1 Formule Tet Contents Setion F1.1 Using Formule F1. Construt nd Use Simple Formule F1.3 Revision of Negtive Numers F1.4 Sustitution into Formule

More information

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

More information

Instructions. An 8.5 x 11 Cheat Sheet may also be used as an aid for this test. MUST be original handwriting.

Instructions. An 8.5 x 11 Cheat Sheet may also be used as an aid for this test. MUST be original handwriting. ID: B CSE 2021 Computer Orgniztion Midterm Test (Fll 2009) Instrutions This is losed ook, 80 minutes exm. The MIPS referene sheet my e used s n id for this test. An 8.5 x 11 Chet Sheet my lso e used s

More information

Project 6: Minigoals Towards Simplifying and Rewriting Expressions

Project 6: Minigoals Towards Simplifying and Rewriting Expressions MAT 51 Wldis Projet 6: Minigols Towrds Simplifying nd Rewriting Expressions The distriutive property nd like terms You hve proly lerned in previous lsses out dding like terms ut one prolem with the wy

More information

Control Number : Item Number: 1. Addendum StartPage : 0

Control Number : Item Number: 1. Addendum StartPage : 0 ontrol uber : 4427 Ite uber: 1 Addendu StrtPge : :,,..,. W., Pursunt to P SBSTATIV R 25.19.«_..,+.F Registrtion For for Poer Genertion opnies nd Self-Genertors hek only one of the folloing. q e self-genertor

More information

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point

Numbers and indices. 1.1 Fractions. GCSE C Example 1. Handy hint. Key point GCSE C Emple 7 Work out 9 Give your nswer in its simplest form Numers n inies Reiprote mens invert or turn upsie own The reiprol of is 9 9 Mke sure you only invert the frtion you re iviing y 7 You multiply

More information

Momentum and Energy Review

Momentum and Energy Review Momentum n Energy Review Nme: Dte: 1. A 0.0600-kilogrm ll trveling t 60.0 meters per seon hits onrete wll. Wht spee must 0.0100-kilogrm ullet hve in orer to hit the wll with the sme mgnitue of momentum

More information

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications

AP CALCULUS Test #6: Unit #6 Basic Integration and Applications AP CALCULUS Test #6: Unit #6 Bsi Integrtion nd Applitions A GRAPHING CALCULATOR IS REQUIRED FOR SOME PROBLEMS OR PARTS OF PROBLEMS IN THIS PART OF THE EXAMINATION. () The ext numeril vlue of the orret

More information

2.4 Linear Inequalities and Interval Notation

2.4 Linear Inequalities and Interval Notation .4 Liner Inequlities nd Intervl Nottion We wnt to solve equtions tht hve n inequlity symol insted of n equl sign. There re four inequlity symols tht we will look t: Less thn , Less thn or

More information

Linear Algebra Introduction

Linear Algebra Introduction Introdution Wht is Liner Alger out? Liner Alger is rnh of mthemtis whih emerged yers k nd ws one of the pioneer rnhes of mthemtis Though, initilly it strted with solving of the simple liner eqution x +

More information

Equivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts.

Equivalent fractions have the same value but they have different denominators. This means they have been divided into a different number of parts. Frtions equivlent frtions Equivlent frtions hve the sme vlue ut they hve ifferent enomintors. This mens they hve een ivie into ifferent numer of prts. Use the wll to fin the equivlent frtions: Wht frtions

More information

Chapter 8 Roots and Radicals

Chapter 8 Roots and Radicals Chpter 8 Roots nd Rdils 7 ROOTS AND RADICALS 8 Figure 8. Grphene is n inredily strong nd flexile mteril mde from ron. It n lso ondut eletriity. Notie the hexgonl grid pttern. (redit: AlexnderAIUS / Wikimedi

More information

Interpreting Integrals and the Fundamental Theorem

Interpreting Integrals and the Fundamental Theorem Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of

More information

Part I: Study the theorem statement.

Part I: Study the theorem statement. Nme 1 Nme 2 Nme 3 A STUDY OF PYTHAGORAS THEOREM Instrutions: Together in groups of 2 or 3, fill out the following worksheet. You my lift nswers from the reding, or nswer on your own. Turn in one pket for

More information

Bayesian Networks: Approximate Inference

Bayesian Networks: Approximate Inference pproches to inference yesin Networks: pproximte Inference xct inference Vrillimintion Join tree lgorithm pproximte inference Simplify the structure of the network to mkxct inferencfficient (vritionl methods,

More information

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals

AP Calculus BC Chapter 8: Integration Techniques, L Hopital s Rule and Improper Integrals AP Clulus BC Chpter 8: Integrtion Tehniques, L Hopitl s Rule nd Improper Integrls 8. Bsi Integrtion Rules In this setion we will review vrious integrtion strtegies. Strtegies: I. Seprte the integrnd into

More information

Section 5.1 #7, 10, 16, 21, 25; Section 5.2 #8, 9, 15, 20, 27, 30; Section 5.3 #4, 6, 9, 13, 16, 28, 31; Section 5.4 #7, 18, 21, 23, 25, 29, 40

Section 5.1 #7, 10, 16, 21, 25; Section 5.2 #8, 9, 15, 20, 27, 30; Section 5.3 #4, 6, 9, 13, 16, 28, 31; Section 5.4 #7, 18, 21, 23, 25, 29, 40 Mth B Prof. Audrey Terrs HW # Solutions by Alex Eustis Due Tuesdy, Oct. 9 Section 5. #7,, 6,, 5; Section 5. #8, 9, 5,, 7, 3; Section 5.3 #4, 6, 9, 3, 6, 8, 3; Section 5.4 #7, 8,, 3, 5, 9, 4 5..7 Since

More information

Acceptance Sampling by Attributes

Acceptance Sampling by Attributes Introduction Acceptnce Smpling by Attributes Acceptnce smpling is concerned with inspection nd decision mking regrding products. Three spects of smpling re importnt: o Involves rndom smpling of n entire

More information

Generalization of 2-Corner Frequency Source Models Used in SMSIM

Generalization of 2-Corner Frequency Source Models Used in SMSIM Generliztion o 2-Corner Frequeny Soure Models Used in SMSIM Dvid M. Boore 26 Mrh 213, orreted Figure 1 nd 2 legends on 5 April 213, dditionl smll orretions on 29 My 213 Mny o the soure spetr models ville

More information

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved.

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved. Clculus Module C Ares Integrtion Copright This puliction The Northern Alert Institute of Technolog 7. All Rights Reserved. LAST REVISED Mrch, 9 Introduction to Ares Integrtion Sttement of Prerequisite

More information

This conversion box can help you convert units of length. b 3 cm = e 11 cm = b 20 mm = cm. e 156 mm = b 500 cm = e cm = b mm = d 500 mm =

This conversion box can help you convert units of length. b 3 cm = e 11 cm = b 20 mm = cm. e 156 mm = b 500 cm = e cm = b mm = d 500 mm = Units of length,, To onvert fro to, ultiply y 10. This onversion ox n help you onvert units of length. To onvert fro to, divide y 10. 100 100 1 000 10 10 1 000 Convert these lengths to illietres: 0 1 2

More information

We use metres to measure length. There are 100 centimetres in a metre. a 6 m = cm b 3 m = cm c 9 m = cm

We use metres to measure length. There are 100 centimetres in a metre. a 6 m = cm b 3 m = cm c 9 m = cm Units of length metres We use metres to mesure length. There re 00 entimetres in metre. 00 m = m Convert these metres to entimetres: 6 m = m 3 m = m 9 m = m 600 300 900 Estimte nd then mesure the length

More information

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn

More information

Probability The Language of Chance P(A) Mathletics Instant Workbooks. Copyright

Probability The Language of Chance P(A) Mathletics Instant Workbooks. Copyright Proility The Lnguge of Chne Stuent Book - Series L-1 P(A) Mthletis Instnt Workooks Copyright Proility The Lnguge of Chne Stuent Book - Series L Contents Topis Topi 1 - Lnguge of proility Topi 2 - Smple

More information

Algorithms & Data Structures Homework 8 HS 18 Exercise Class (Room & TA): Submitted by: Peer Feedback by: Points:

Algorithms & Data Structures Homework 8 HS 18 Exercise Class (Room & TA): Submitted by: Peer Feedback by: Points: Eidgenössishe Tehnishe Hohshule Zürih Eole polytehnique fédérle de Zurih Politenio federle di Zurigo Federl Institute of Tehnology t Zurih Deprtement of Computer Siene. Novemer 0 Mrkus Püshel, Dvid Steurer

More information

Something found at a salad bar

Something found at a salad bar Nme PP Something found t sld r 4.7 Notes RIGHT TRINGLE hs extly one right ngle. To solve right tringle, you n use things like SOH-H-TO nd the Pythgoren Theorem. n OLIQUE TRINGLE hs no right ngles. To solve

More information

Tax Return Transcript

Tax Return Transcript SSN Provided: 000-00-0001 Tax Period Ending: Dec. 31, 2008 This Product Contains Sensitive Taxpayer Data Tax Return Transcript Request Date: 08-28-2009 Response Date: 08-28-2009 Tracking Number: 100050342851

More information

Chapter 2 Finite Automata

Chapter 2 Finite Automata Chpter 2 Finite Automt 28 2.1 Introduction Finite utomt: first model of the notion of effective procedure. (They lso hve mny other pplictions). The concept of finite utomton cn e derived y exmining wht

More information

Tax Return Transcript

Tax Return Transcript Page 1 of 5 This Product Contains Sensitive Taxpayer Data Tax Return Transcript Request Date: 11-23-2009 Response Date: 11-23-2009 Tracking Number: 100056151738 SSN Provided: 563-43-0684 Tax Period Ending:

More information

3/8" Square (10 mm) Multi-Turn Cermet Trimmer

3/8 Square (10 mm) Multi-Turn Cermet Trimmer www.vishy.om 3/8" Squre ( mm) Multi-Turn Cermet Trimmer FEATURES Industril grde W t 70 C Vishy Spetrol Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 2 % Mteril tegoriztion: for definitions

More information

Lecture 6: Coding theory

Lecture 6: Coding theory Leture 6: Coing theory Biology 429 Crl Bergstrom Ferury 4, 2008 Soures: This leture loosely follows Cover n Thoms Chpter 5 n Yeung Chpter 3. As usul, some of the text n equtions re tken iretly from those

More information

A Lower Bound for the Length of a Partial Transversal in a Latin Square, Revised Version

A Lower Bound for the Length of a Partial Transversal in a Latin Square, Revised Version A Lower Bound for the Length of Prtil Trnsversl in Ltin Squre, Revised Version Pooy Htmi nd Peter W. Shor Deprtment of Mthemtil Sienes, Shrif University of Tehnology, P.O.Bo 11365-9415, Tehrn, Irn Deprtment

More information

5: The Definite Integral

5: The Definite Integral 5: The Definite Integrl 5.: Estimting with Finite Sums Consider moving oject its velocity (meters per second) t ny time (seconds) is given y v t = t+. Cn we use this informtion to determine the distnce

More information

Unit 4. Combinational Circuits

Unit 4. Combinational Circuits Unit 4. Comintionl Ciruits Digitl Eletroni Ciruits (Ciruitos Eletrónios Digitles) E.T.S.I. Informáti Universidd de Sevill 5/10/2012 Jorge Jun 2010, 2011, 2012 You re free to opy, distriute

More information

Probability. b a b. a b 32.

Probability. b a b. a b 32. Proility If n event n hppen in '' wys nd fil in '' wys, nd eh of these wys is eqully likely, then proility or the hne, or its hppening is, nd tht of its filing is eg, If in lottery there re prizes nd lnks,

More information

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs

Counting Paths Between Vertices. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs. Isomorphism of Graphs Isomorphism of Grphs Definition The simple grphs G 1 = (V 1, E 1 ) n G = (V, E ) re isomorphi if there is ijetion (n oneto-one n onto funtion) f from V 1 to V with the property tht n re jent in G 1 if

More information

fractions Let s Learn to

fractions Let s Learn to 5 simple lgebric frctions corne lens pupil retin Norml vision light focused on the retin concve lens Shortsightedness (myopi) light focused in front of the retin Corrected myopi light focused on the retin

More information

Ling 3701H / Psych 3371H: Lecture Notes 9 Hierarchic Sequential Prediction

Ling 3701H / Psych 3371H: Lecture Notes 9 Hierarchic Sequential Prediction Ling 3701H / Psyh 3371H: Leture Notes 9 Hierrhi Sequentil Predition Contents 9.1 Complex events.................................... 1 9.2 Reognition of omplex events using event frgments................

More information

Goals: Determine how to calculate the area described by a function. Define the definite integral. Explore the relationship between the definite

Goals: Determine how to calculate the area described by a function. Define the definite integral. Explore the relationship between the definite Unit #8 : The Integrl Gols: Determine how to clculte the re described by function. Define the definite integrl. Eplore the reltionship between the definite integrl nd re. Eplore wys to estimte the definite

More information

Section 4: Integration ECO4112F 2011

Section 4: Integration ECO4112F 2011 Reding: Ching Chpter Section : Integrtion ECOF Note: These notes do not fully cover the mteril in Ching, ut re ment to supplement your reding in Ching. Thus fr the optimistion you hve covered hs een sttic

More information

Polynomials. Polynomials. Curriculum Ready ACMNA:

Polynomials. Polynomials. Curriculum Ready ACMNA: Polynomils Polynomils Curriulum Redy ACMNA: 66 www.mthletis.om Polynomils POLYNOMIALS A polynomil is mthemtil expression with one vrile whose powers re neither negtive nor frtions. The power in eh expression

More information

Australian curriculum NUMBER AND ALGEBRA

Australian curriculum NUMBER AND ALGEBRA 7A 7B 7C 7D 7E 7F 7G 7H 7I Chpter Wht you will lern Equtions review (Consolidting) Equivlent equtions (Consolidting) Equtions with frtions Equtions with pronumerls on oth sides Equtions with rkets Formuls

More information

The Trapezoidal Rule

The Trapezoidal Rule _.qd // : PM Pge 9 SECTION. Numericl Integrtion 9 f Section. The re of the region cn e pproimted using four trpezoids. Figure. = f( ) f( ) n The re of the first trpezoid is f f n. Figure. = Numericl Integrtion

More information

Trigonometry Revision Sheet Q5 of Paper 2

Trigonometry Revision Sheet Q5 of Paper 2 Trigonometry Revision Sheet Q of Pper The Bsis - The Trigonometry setion is ll out tringles. We will normlly e given some of the sides or ngles of tringle nd we use formule nd rules to find the others.

More information

Section 6: Area, Volume, and Average Value

Section 6: Area, Volume, and Average Value Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find

More information

Bakery. Grab & Go. Deli

Bakery. Grab & Go. Deli Visul Mrketing Progrms Designed speifilly for: Bkery. Gr & Go. Deli Brnded Conept & Order Guide Think. Crete. Experiene. www.vgsonline.om Visul Mrketing System (VMS) At VGS, we understnd the hllenging

More information

Student Book SERIES. Measurement. Name

Student Book SERIES. Measurement. Name Student Book Nme Series Contents Topi Units of length (pp. 9) metres entimetres metres nd entimetres millimetres perimeter length nd deiml nottion onnet nd lok pply te ompleted Topi Are (pp. 0 5) squre

More information

CS 491G Combinatorial Optimization Lecture Notes

CS 491G Combinatorial Optimization Lecture Notes CS 491G Comintoril Optimiztion Leture Notes Dvi Owen July 30, August 1 1 Mthings Figure 1: two possile mthings in simple grph. Definition 1 Given grph G = V, E, mthing is olletion of eges M suh tht e i,

More information

Exam 2 Solutions ECE 221 Electric Circuits

Exam 2 Solutions ECE 221 Electric Circuits Nme: PSU Student ID Numer: Exm 2 Solutions ECE 221 Electric Circuits Novemer 12, 2008 Dr. Jmes McNmes Keep your exm flt during the entire exm If you hve to leve the exm temporrily, close the exm nd leve

More information

AVL Trees. D Oisín Kidney. August 2, 2018

AVL Trees. D Oisín Kidney. August 2, 2018 AVL Trees D Oisín Kidne August 2, 2018 Astrt This is verified implementtion of AVL trees in Agd, tking ides primril from Conor MBride s pper How to Keep Your Neighours in Order [2] nd the Agd stndrd lirr

More information

CS 573 Automata Theory and Formal Languages

CS 573 Automata Theory and Formal Languages Non-determinism Automt Theory nd Forml Lnguges Professor Leslie Lnder Leture # 3 Septemer 6, 2 To hieve our gol, we need the onept of Non-deterministi Finite Automton with -moves (NFA) An NFA is tuple

More information

Pythagoras Theorem. Pythagoras Theorem. Curriculum Ready ACMMG: 222, 245.

Pythagoras Theorem. Pythagoras Theorem. Curriculum Ready ACMMG: 222, 245. Pythgors Theorem Pythgors Theorem Curriulum Redy ACMMG:, 45 www.mthletis.om Fill in these spes with ny other interesting fts you n find out Pythgors. In the world of Mthemtis, Pythgors is legend. He lived

More information

Hints for Exercise 1 on: Current and Resistance

Hints for Exercise 1 on: Current and Resistance Hints for Exercise 1 on: Current nd Resistnce Review the concepts of: electric current, conventionl current flow direction, current density, crrier drift velocity, crrier numer density, Ohm s lw, electric

More information

Lesson 2.1 Inductive Reasoning

Lesson 2.1 Inductive Reasoning Lesson 2.1 Inutive Resoning Nme Perio Dte For Eerises 1 7, use inutive resoning to fin the net two terms in eh sequene. 1. 4, 8, 12, 16,, 2. 400, 200, 100, 50, 25,, 3. 1 8, 2 7, 1 2, 4, 5, 4. 5, 3, 2,

More information

TOPIC: LINEAR ALGEBRA MATRICES

TOPIC: LINEAR ALGEBRA MATRICES Interntionl Blurete LECTUE NOTES for FUTHE MATHEMATICS Dr TOPIC: LINEA ALGEBA MATICES. DEFINITION OF A MATIX MATIX OPEATIONS.. THE DETEMINANT deta THE INVESE A -... SYSTEMS OF LINEA EQUATIONS. 8. THE AUGMENTED

More information

Lesson 2.1 Inductive Reasoning

Lesson 2.1 Inductive Reasoning Lesson 2.1 Inutive Resoning Nme Perio Dte For Eerises 1 7, use inutive resoning to fin the net two terms in eh sequene. 1. 4, 8, 12, 16,, 2. 400, 200, 100, 50, 25,, 3. 1 8, 2 7, 1 2, 4, 5, 4. 5, 3, 2,

More information

Sequence Cartridge Valves

Sequence Cartridge Valves Sequene Vlves Type Pge Pilot Operted, lned Piston Diret ting with Reverse Flow Chek 7 Kik-down, Pilot Operted, lned Piston ir Controlled, Pilot Operted, lned Piston 9 Diret ting without Reverse Flow Chek

More information

Series. Teacher. Fractions

Series. Teacher. Fractions Series E Teher Frtions Copyright 009 P Lerning. All rights reserved. First edition printed 009 in Austrli. A tlogue reord for this ook is ville from P Lerning Ltd. ISBN 97--90-9-0 Ownership of ontent The

More information

Multi-Turn Surface Mount 1/4" Square Cermet Trimmers, Fully Sealed

Multi-Turn Surface Mount 1/4 Square Cermet Trimmers, Fully Sealed www.vishy.om Vishy Sfernie Multi-Turn Surfe Mount /4" Squre Cermet Trimmers, Fully Seled The multiturn trimmer hs een designed for use in PCB surfe mounting pplitions. Three vritions re ville ording to

More information

5. Every rational number have either terminating or repeating (recurring) decimal representation.

5. Every rational number have either terminating or repeating (recurring) decimal representation. CHAPTER NUMBER SYSTEMS Points to Rememer :. Numer used for ounting,,,,... re known s Nturl numers.. All nturl numers together with zero i.e. 0,,,,,... re known s whole numers.. All nturl numers, zero nd

More information

3/8" Square (10 mm) Multi-Turn Cermet Trimmer

3/8 Square (10 mm) Multi-Turn Cermet Trimmer 3/8" Squre ( mm) Multi-Turn Cermet FEATURES Industril grde W t 70 C Tests ording to CECC 400 or IEC 60393-1 Contt resistne vrition < 1 % typil Complint to RoHS Diretive 2002/95/EC The Model is smll size

More information

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER MACHINES AND THEIR LANGUAGES ANSWERS

The University of Nottingham SCHOOL OF COMPUTER SCIENCE A LEVEL 2 MODULE, SPRING SEMESTER MACHINES AND THEIR LANGUAGES ANSWERS The University of ottinghm SCHOOL OF COMPUTR SCIC A LVL 2 MODUL, SPRIG SMSTR 2015 2016 MACHIS AD THIR LAGUAGS ASWRS Time llowed TWO hours Cndidtes my omplete the front over of their nswer ook nd sign their

More information

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R

Thermodynamics. Question 1. Question 2. Question 3 3/10/2010. Practice Questions PV TR PV T R /10/010 Question 1 1 mole of idel gs is rought to finl stte F y one of three proesses tht hve different initil sttes s shown in the figure. Wht is true for the temperture hnge etween initil nd finl sttes?

More information

Exercise sheet 6: Solutions

Exercise sheet 6: Solutions Eerise sheet 6: Solutions Cvet emptor: These re merel etended hints, rther thn omplete solutions. 1. If grph G hs hromti numer k > 1, prove tht its verte set n e prtitioned into two nonempt sets V 1 nd

More information

A Critical Path Problem Using Intuitionistic. Trapezoidal Fuzzy Number

A Critical Path Problem Using Intuitionistic. Trapezoidal Fuzzy Number pplied Mthemticl Sciences, Vol. 8, 0, no. 5, 555-56 HIKRI Ltd, www.m-hikri.com http://dx.doi.org/0.988/ms.0.9 Criticl Pth Prolem Using Intuitionistic Trpezoidl Fuzzy Numer P. Jygowri Deprtment of Mthemtics

More information

ANALYSIS AND MODELLING OF RAINFALL EVENTS

ANALYSIS AND MODELLING OF RAINFALL EVENTS Proeedings of the 14 th Interntionl Conferene on Environmentl Siene nd Tehnology Athens, Greee, 3-5 Septemer 215 ANALYSIS AND MODELLING OF RAINFALL EVENTS IOANNIDIS K., KARAGRIGORIOU A. nd LEKKAS D.F.

More information

CSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4

CSE 332. Sorting. Data Abstractions. CSE 332: Data Abstractions. QuickSort Cutoff 1. Where We Are 2. Bounding The MAXIMUM Problem 4 Am Blnk Leture 13 Winter 2016 CSE 332 CSE 332: Dt Astrtions Sorting Dt Astrtions QuikSort Cutoff 1 Where We Are 2 For smll n, the reursion is wste. The onstnts on quik/merge sort re higher thn the ones

More information

Comparing the Pre-image and Image of a Dilation

Comparing the Pre-image and Image of a Dilation hpter Summry Key Terms Postultes nd Theorems similr tringles (.1) inluded ngle (.2) inluded side (.2) geometri men (.) indiret mesurement (.6) ngle-ngle Similrity Theorem (.2) Side-Side-Side Similrity

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Nme Dte hpter 9 Mintining Mthemtil Profiieny Simplify the epression. 1. 500. 189 3. 5 4. 4 3 5. 11 5 6. 8 Solve the proportion. 9 3 14 7. = 8. = 9. 1 7 5 4 = 4 10. 0 6 = 11. 7 4 10 = 1. 5 9 15 3 = 5 +

More information

Math 116 Calculus II

Math 116 Calculus II Mth 6 Clculus II Contents 5 Exponentil nd Logrithmic functions 5. Review........................................... 5.. Exponentil functions............................... 5.. Logrithmic functions...............................

More information

Case Doc 496 Filed 04/26/12 Entered 04/26/12 15:39:11 Desc Main Document Page 1 of 17

Case Doc 496 Filed 04/26/12 Entered 04/26/12 15:39:11 Desc Main Document Page 1 of 17 Document Page 1 of 17 Document Page 2 of 17 DEBTOR: MID-AMERICA CEDAR, INC. CASE NO: 11-45203 Form 2-B CASH RECEIPTS AND DISBURSEMENTS STATEMENT For Period: _3/1/2012_ to _3/31/2012_ CASH FLOW SUMMARY

More information

BİL 354 Veritabanı Sistemleri. Relational Algebra (İlişkisel Cebir)

BİL 354 Veritabanı Sistemleri. Relational Algebra (İlişkisel Cebir) BİL 354 Veritnı Sistemleri Reltionl lger (İlişkisel Ceir) Reltionl Queries Query lnguges: llow mnipultion nd retrievl of dt from dtse. Reltionl model supports simple, powerful QLs: Strong forml foundtion

More information

CARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005

CARLETON UNIVERSITY. 1.0 Problems and Most Solutions, Sect B, 2005 RLETON UNIVERSIT eprtment of Eletronis ELE 2607 Swithing iruits erury 28, 05; 0 pm.0 Prolems n Most Solutions, Set, 2005 Jn. 2, #8 n #0; Simplify, Prove Prolem. #8 Simplify + + + Reue to four letters (literls).

More information

Basic Angle Rules 5. A Short Hand Geometric Reasons. B Two Reasons. 1 Write in full the meaning of these short hand geometric reasons.

Basic Angle Rules 5. A Short Hand Geometric Reasons. B Two Reasons. 1 Write in full the meaning of these short hand geometric reasons. si ngle Rules 5 6 Short Hnd Geometri Resons 1 Write in full the mening of these short hnd geometri resons. Short Hnd Reson Full Mening ) se s isos Δ re =. ) orr s // lines re =. ) sum s t pt = 360. d)

More information

Gaithersburg Middle School. Algebra 1. Summer Packet

Gaithersburg Middle School. Algebra 1. Summer Packet Nme: Dte: Githersurg Middle School Alger 1 Summer Pcket Alger 1 Pge 1 Summer, 01 Der student, Hoory! Summer vction is lmost here nd the strt of the new school yer is just round the corner. We wnt you to

More information

DIFFERENCE BETWEEN TWO RIEMANN-STIELTJES INTEGRAL MEANS

DIFFERENCE BETWEEN TWO RIEMANN-STIELTJES INTEGRAL MEANS Krgujev Journl of Mthemtis Volume 38() (204), Pges 35 49. DIFFERENCE BETWEEN TWO RIEMANN-STIELTJES INTEGRAL MEANS MOHAMMAD W. ALOMARI Abstrt. In this pper, severl bouns for the ifferene between two Riemn-

More information

Vectors. a Write down the vector AB as a column vector ( x y ). A (3, 2) x point C such that BC = 3. . Go to a OA = a

Vectors. a Write down the vector AB as a column vector ( x y ). A (3, 2) x point C such that BC = 3. . Go to a OA = a Streth lesson: Vetors Streth ojetives efore you strt this hpter, mrk how onfident you feel out eh of the sttements elow: I n lulte using olumn vetors nd represent the sum nd differene of two vetors grphilly.

More information

The practical version

The practical version Roerto s Notes on Integrl Clculus Chpter 4: Definite integrls nd the FTC Section 7 The Fundmentl Theorem of Clculus: The prcticl version Wht you need to know lredy: The theoreticl version of the FTC. Wht

More information

6.5 Improper integrals

6.5 Improper integrals Eerpt from "Clulus" 3 AoPS In. www.rtofprolemsolving.om 6.5. IMPROPER INTEGRALS 6.5 Improper integrls As we ve seen, we use the definite integrl R f to ompute the re of the region under the grph of y =

More information