r o f a 24 T h e E i g h t Y e a r O l d K I n g O F T H E Ordinary Men and Women... Super Ordinary Power
|
|
- Crystal McCoy
- 6 years ago
- Views:
Transcription
1 H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 24 T h E g h t Y a r O l d K I n g H r o s o f t h F a t h C u r r c u l u m No part of ths currculum may b rpublshd wthout prmsson. Plas fl fr to copy for classroom us.
2 24 T h E g h t Y a r O l d K n g Mmory Vrs: I njoy obyng your commands, whch I lov. (Psalm 119:47 NCV) Lsson Goals: #1 - Undrstand how ordnary Josah was #2 - Dscovr what fath ld Josah to do #3 - Dsr to lt God do xtraordnary thngs n th lf of th ordnary studnt Audnc: Young, un-churchd larnrs Adaptabl for all ags, ncludng adults (S For mor tranng on Actvts pag) Scrptur to Study: 2 Kngs Chroncls Th Eght Yar Old Kng / pag 2
3 24 T h E g h t Y a r O l d K n g 2 Kngs 21-23, 2 Chroncls Who can tll m what a hro s? A hro s somon who s couragous and brav and compassonat. Thr ar hros and hrons n th Bbl. All of thm ar brav and couragous and mor, but not n th way you would xpct. Our hro: Josah Hs Hroc Fat: Lovs what s wrttn n th Lord s tachngs Lovng what s wrttn n th Lord s tachngs may not sound vry hroc, but lt s look at th facts and s what you thnk whn you hav hard th whol story Do you rmmbr good Kng Hzkah from our last lsson? Aftr Hzkah, thr wr two rally bad kngs and thn a good on. Th good on was Hzkah s grat-grandson Hs nam was Josah and h was only ght yars old whn h bcam kng. Th Bbl tlls us that, Josah dd what th Lord sad was rght. H lvd as hs ancstor Davd had lvd, and h dd not stop dong what was rght. (2 Kngs 22:2 NCV) Kng Josah obyd God. H rmovd th forgn gods hs ancstors had worshppd. And thn, lk hs grat-grandfathr Hzkah, Josah rmovd dol worshp from th land. Onc all of ths had bn don, Josah bgan to purfy and rpar th Tmpl that Kng Solomon had bult. Ths had to b don agan bcaus th kngs of Judah had lt th buldngs fall nto run. (2 Chroncls 34:11b NCV) Constructon workrs and thos who workd n th Tmpl wr busy wth a lot of work. Whl thy wr workng, thy found Th Book of th Lord s Tachng. Ths was probably th Tmpl copy of th frst fv books of th Bbl, th books of Moss: Gnss, Exodus, Lvtcus, Numbrs and Dutronomy.* It had most lkly bn lost whn th dsobdnt kngs usd th Tmpl for thngs othr than worshppng God. Th book was takn to Kng Josah and rad to hm. What Josah hard rally upst hm. Whn th kng hard th words of th Tachngs, h tor hs cloths to show how upst h was. Josah lovd God s word. H blvd what h hard. Josah obyd what h hard. But from harng t rad, Josah knw that God was angry at hm and th popl of Judah. Non of thm, nor thr ancstors, had obyd th words of God that h had just hard. In that book that was lost n th Tmpl, t s prtty clar what God thnks about that knd of dsobdnc - punshmnt It s only a lf of obdnc that God blsss. God would punsh th naton of Judah, but, bcaus of Josah s obdnc, God would wat untl aftr Josah s dath to brng about that punshmnt. God told Josah, Th Eght Yar Old Kng / pag 3
4 Whn you hard my words aganst ths plac and ts popl, you bcam sorry for what you had don and humbld yourslf bfor m. I sad thy would b cursd and dstroyd. You tor your cloths to show how upst you wr, and you crd n my prsnc. Ths s why I hav hard you. (2 Kngs 22:19 NCV) Whn Josah was sorry for what h dd and turnd away from t, God honord Josah s rpntanc. Rpntanc s turnng away from on thng toward anothr. Josah turnd from hs sn toward God. Hav you don th sam? Do you ralz that you ar a snnr? W all ar. (Romans 3:23) Th Bbl says w dsrv punshmnt for our sn dath. (Romans 6:23) But, just as God showd mrcy to Josah whn h rpntd of hs sn, God s offrng you th gft of lf... f you, too, wll rpnt of your sns and turn to Hm. What ar you watng for? *Jamson, Robrt; A.R. Fausst; and Davd Brown. "Commntary on 2 Kngs 22.". Blu Lttr Bbl. 19 Fb Jun < > N x t W k Danl Spnds th Nght wth Hungry Lons Y O U c a n b a h r o, t o o Whn you lv a lf of fath n Jsus Chrst, you don t hav to lap tall buldngs to b a hro. Josah lovd what was wrttn n th Lord s tachng. Do you lov God s Word, th Bbl? Our mmory vrs says, I njoy obyng your commands, whch I lov. (Psalm 119:47 NCV) Whn you ralz who God s and how much H lovs you, t s a natural thng to lov radng ths lov lttr (th Bbl) that H has gvn us. That, n turn, naturally lads to obdnc. In fact, our obdnc shows our lov for Hm. (John 14:15, 21, 23, 24) Th Eght Yar Old Kng / pag 4
5 p r - s c h o o l l s s o n Who can tll m what a hro s? A hro s somon who s couragous and brav and compassonat. Thr ar hros and hrons n th Bbl. All of thm ar brav and couragous and mor, but not n th way you would xpct. Our hro: Josah Hs Hroc Fat: Lovs what s wrttn n th Lord s tachngs Lovng what s wrttn n th Lord s tachngs may not sound vry hroc, but lt s look at th facts and s what you thnk whn you hav hard th whol story Do you rmmbr good Kng Hzkah from our last lsson? Aftr Hzkah, thr wr two rally bad kngs and thn a good on. Th good on was Hzkah s grat-grandson Hs nam was Josah and h was only ght yars old whn h bcam kng. Th Bbl tlls us that, Josah dd what th Lord sad was rght. H lvd as hs ancstor Davd had lvd, and h dd not stop dong what was rght. (2 Kngs 22:2 NCV) Kng Josah obyd God. H rmovd th forgn gods hs ancstors had worshppd. And thn, lk hs grat-grandfathr Hzkah, Josah rmovd dol worshp from th land. Onc all of ths had bn don, Josah bgan to purfy and rpar th Tmpl that Kng Solomon had bult. Ths had to b don agan bcaus th kngs of Judah had lt th buldngs fall nto run. (2 Chroncls 34:11b NCV) Constructon workrs wr busy wth a lot of work. Whl thy wr workng, thy found Th Book of th Lord s Tachng. Ths was probably a copy of th frst fv books of th Bbl,: Gnss, Exodus, Lvtcus, Numbrs and Dutronomy.* It had bn lost. Th book was takn to Kng Josah and rad to hm. What Josah hard rally upst hm. Josah lovd God s word. H blvd what h hard. Josah obyd what h hard. What do you do whn you har th Bbl rad and taught? Do you lov God s Word? Ar you upst at your dsobdnc? Do you stop dsobyng and bgn obyng God? Lt s talk to God rght now and ask for Hs hlp. Th Eght Yar Old Kng / pag 5
6 a c t v t s Mmory Vrs Actvty - Mak larg harts from ovrszd constructon papr. Prnt th mmory vrs on th hart, rmmbrng to nclud th rfrnc. Encourag your studnts to dcorat thr harts. Contnu addng hros nams and hroc fats to your Hros Bannr. Sng Turn Your Eys Upon Jsus, I Wll, Amazng Lov, Bttr s On Day or othr pras songs rlatd to th lsson. Enlst your studnts to hlp clan your Bbl Study ara, vn f t s outsd. For mor tranng: Rad Matthw 1: Dscuss th ancstors found n Jsus famly tr. Mak your own famly tr. For mor tranng: Rad 2 Kngs 21: and 23: Thn rad th fulfllmnt of thos vrss n 2 Chroncls 36. For mor tranng: Rad 2 Chroncls 34:1-33 and 35: Mak a tm ln of th mportant vnts n Josah s lf and tm as kng. For mor tranng: Rad 2 Chroncls 35: Thn rad Psalm 119 and mark all th rfrncs to th lov of God s word, or law, and obdnc. Th Eght Yar Old Kng / pag 6
7 I njoy obyng your commands, whch I lov. Psalm 119:47 Th Eght Yar Old Kng / pag 7
8 H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr H r o n T r a n n g Th E ght Yar Old K ng H r o s o f t h F a t h C u r r c u l u m No part of ths currculum may b rpublshd wthout prmsson. Plas fl fr to copy for classroom us.
9 h r o t r a n n g Scrptur: 2 Kngs 21-23, 2 Chroncls Mmory vrs: I njoy obyng your commands, whch I lov. (Psalm 119:47 NCV) Our Hro: What dd our hron do that was so hroc? What can you do to b a Hro of th Fath? HS What powr do Hros of th Fath possss? Do you hav th powr? Rad 2 Chroncls 35:26-27 along wth th mmory vrs. What dos t man to lov God s Word? What wll b th vdnc of that lov? Th Eght Yar Old Kng / pag 9
10 h d d n m s s a g Can you crack th cod to fnd th Hddn Mssag? Bgnnng at th arrow, cross out vry othr lttr. Copy th lttrs that ar lft nto th spacs blow. _,. Psalm 119:47 Th Eght Yar Old Kng / pag 10
11 w o r d s a r c h B S I C K N E D S L G D E D S L O D I D E V O M E R R E O E N V I T N V O N E H E L J E V S N N E L O L E L O O V A R E A D L L P Y S M S E R A P C G O T M C A P I D E Y E B O W H E R C A A T A Y R E D E T T E I G H T Y E A R S O L D M N S M T R E Y I W D O E S E L B I B D N U O F E N D J V L S Y T D E R V H A O T E E A Y F A S D I U E G N R N S B I E V O D P L H T B U I L F T E G P L C - Josah - ght yars old - rmovd dols - cland tmpl - found Bbl - rpntd - lovd God s word - obyd - God s mrcy Th Eght Yar Old Kng / pag 11
12 h Answr Pag d d n m s s a g Can you crack th cod to fnd th Hddn Mssag? Bgnnng at th arrow, cross out vry othr lttr. Copy th lttrs that ar lft nto th spacs blow. I njoy obyng your commands, whch I lov. Psalm 119:47 Th Eght Yar Old Kng / pag 12
13 w o r Answr Pag d s a r c h B S I C K N E D S L G D E D S L O D I D E V O M E R R E O E N V I T N V O N E H E L J E V S N N E L O L E L O O V A R E A D L L P Y S M S E R A P C G O T M C A P I D E Y E B O W H E R C A A T A Y R E D E T T E I G H T Y E A R S O L D M N S M T R E Y I W D O E S E L B I B D N U O F E N D J V L S Y T D E R V H A O T E E A Y F A S D I U E G N R N S B I E V O D P L H T B U I L F T E G P L C - Josah - ght yars old - rmovd dols - cland tmpl - found Bbl - rpntd - lovd God s word - obyd - God s mrcy Th Eght Yar Old Kng / pag 13
r o f a O F T H E Ordinary Men and Women... Super Ordinary Power H e r o e s o f t h e F a i t h C u r r i c u l u m
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 36 T h C n t u r o n s G r a t F a t h H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
More informationr o f a 11 J o s h u a S e r v e s t h e L o r d O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 11 J o s h u a S r v s t h L o r d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
More informationr o f a 23 H e z e k i a h : L o y a l t o G o d O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 23 H z k a h : L o y a l t o G o d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
More informationr o f a 13 D e b o r a h L e a d s I s r a e l O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 13 D b o r a h L a d s I s r a l H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
More informationr o f a O F T H E Y e a r O l d A b r a h a m H a s a S o n Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 5 1 0 0 Y a r O l d A b r a h a m H a s a S o n H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths
More informationr o f a O F T H E G i d e o n W i n s B a t t l e W i t h O n l y M e n Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 14 G d o n W n s B a t t l W t h O n l y 3 0 0 M n H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of
More informationr o f a 15 J e s u s D e f e a t s D e a t h O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 15 J s u s D f a t s D a t h H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may b rpublshd
More informationr o f a O F T H E N e h e m i a h F e a r l e s s i n H i s e f f o r t s t o R e b u i l d W a l l o f J e r u s a l e m
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 29 N h m a h F a r l s s n H s f f o r t s t o R b u l d W a l l o f J r u s a l m H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org
More informationr o f a O F T H E E s t h e r R i s k s H e r L i f e t o S a v e H e r P e o p l e Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 28 E s t h r R s k s H r L f t o S a v H r P o p l H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of
More informationr o f a O F T H E J e s u s - R e t u r n i n g K i n g Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 48 J s u s - R t u r n n g K n g H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
More informationr o f a O F T H E N o a h b u i l d s b o a t o n d r y l a n d Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 3 N o a h b u l d s b o a t o n d r y l a n d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
More informationr o f a O F T H E C a l e b E x p l o r e s t h e P r o m i s e d L a n d Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 10 C a l b E x p l o r s t h P r o m s d L a n d H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths
More informationr o f a O F T H E P h i l i p - a f a i t h f u l w i t n e s s Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 46 P h l p - a f a t h f u l w t n s s H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
More informationr o f a O F T H E J o h n... S o n o f T h u n d e r! Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 35 J o h n... S o n o f T h u n d r H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may
More informationr o f a 43 S i l a s T r a v e l s w i t h P a u l O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 43 S l a s T r a v l s w t h P a u l H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
More informationr o f a O F T H E T i m o t h y - A n E x a m p l e f o r B e l i e v e r s Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 47 T m o t h y - A n E x a m p l f o r B l v r s H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths
More informationr o f a 7 J o s e p h S a v e s E g y p t O F T H E Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 7 J o s p h S a v s E g y p t H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum may b rpublshd
More informationr o f a O F T H E S a m s o n : A T r a g i c S t o r y Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 16 S a m s o n : A T r a g c S t o r y H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part of ths currculum
More informationr o f a O F T H E M o r d e c a i H a l t s P l o t A g a i n s t t h e K i n g Ordinary Men and Women... Super Ordinary Power
H s O F T H E r o f a t H Ordnary Mn and Womn... Supr Ordnary Powr 27 M o r d c a H a l t s P l o t A g a n s t t h K n g H r o s o f t h F a t h C u r r c u l u m 2 0 1 2 www.mssonarlngton.org No part
More informationSummer Reading Activities!
HOOT FLUSH SCAT CHOMP From Bstslling Author Summr Rading Activitis! Flush Word Find Can you find all 14 words in th puzzl blow? S W I M E N J L P H S P A R R D A Z A G A Z E I B H O T L V S C N U D H I
More informationMA 262, Spring 2018, Final exam Version 01 (Green)
MA 262, Spring 218, Final xam Vrsion 1 (Grn) INSTRUCTIONS 1. Switch off your phon upon ntring th xam room. 2. Do not opn th xam booklt until you ar instructd to do so. 3. Bfor you opn th booklt, fill in
More informationWant to go a-courtin but not allowed to dance? Well then, try this once popular party game as a way to get to know each other.
fiddl, piano party gam, circl danc Want to go a-courtin but not allowd to danc? Wll thn, try this onc popular party gam as a way to gt to know ach othr. Ky G, first not do(g) Squar/Circl Danc d d d d d
More informationLucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn.
Modul 10 Addtonal Topcs 10.1 Lctur 1 Prambl: Dtrmnng whthr a gvn ntgr s prm or compost s known as prmalty tstng. Thr ar prmalty tsts whch mrly tll us whthr a gvn ntgr s prm or not, wthout gvng us th factors
More informationPHA 5127 Answers Homework 2 Fall 2001
PH 5127 nswrs Homwork 2 Fall 2001 OK, bfor you rad th answrs, many of you spnt a lot of tim on this homwork. Plas, nxt tim if you hav qustions plas com talk/ask us. Thr is no nd to suffr (wll a littl suffring
More informationu x v x dx u x v x v x u x dx d u x v x u x v x dx u x v x dx Integration by Parts Formula
7. Intgration by Parts Each drivativ formula givs ris to a corrsponding intgral formula, as w v sn many tims. Th drivativ product rul yilds a vry usful intgration tchniqu calld intgration by parts. Starting
More informationCOHORT MBA. Exponential function. MATH review (part2) by Lucian Mitroiu. The LOG and EXP functions. Properties: e e. lim.
MTH rviw part b Lucian Mitroiu Th LOG and EXP functions Th ponntial function p : R, dfind as Proprtis: lim > lim p Eponntial function Y 8 6 - -8-6 - - X Th natural logarithm function ln in US- log: function
More informationHigher order derivatives
Robrto s Nots on Diffrntial Calculus Chaptr 4: Basic diffrntiation ruls Sction 7 Highr ordr drivativs What you nd to know alrady: Basic diffrntiation ruls. What you can larn hr: How to rpat th procss of
More informationMEMORIAL UNIVERSITY OF NEWFOUNDLAND
MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF MATHEMATICS AND STATISTICS Midtrm Examination Statistics 2500 001 Wintr 2003 Nam: Studnt No: St by Dr. H. Wang OFFICE USE ONLY Mark: Instructions: 1. Plas
More informationCHAPTER 33: PARTICLE PHYSICS
Collg Physcs Studnt s Manual Chaptr 33 CHAPTER 33: PARTICLE PHYSICS 33. THE FOUR BASIC FORCES 4. (a) Fnd th rato of th strngths of th wak and lctromagntc forcs undr ordnary crcumstancs. (b) What dos that
More informationph People Grade Level: basic Duration: minutes Setting: classroom or field site
ph Popl Adaptd from: Whr Ar th Frogs? in Projct WET: Curriculum & Activity Guid. Bozman: Th Watrcours and th Council for Environmntal Education, 1995. ph Grad Lvl: basic Duration: 10 15 minuts Stting:
More informationAlpha and beta decay equation practice
Alpha and bta dcay quation practic Introduction Alpha and bta particls may b rprsntd in quations in svral diffrnt ways. Diffrnt xam boards hav thir own prfrnc. For xampl: Alpha Bta α β alpha bta Dspit
More informationFirst derivative analysis
Robrto s Nots on Dirntial Calculus Chaptr 8: Graphical analysis Sction First drivativ analysis What you nd to know alrady: How to us drivativs to idntiy th critical valus o a unction and its trm points
More informationLearning All About. Mary. Creative. Communications. Sample
Larnng All Abu Mary Hal Mary... Yu v prbably hard hs wrds a l. Mayb yu say hs prayr. Bu hav yu vr wndrd why w say? Wha abu all h sngs, saus and fas days ddcad Mary? Why d w hnr Mary s much? Frs, hnk abu
More informationDiscrete Shells Simulation
Dscrt Shlls Smulaton Xaofng M hs proct s an mplmntaton of Grnspun s dscrt shlls, th modl of whch s govrnd by nonlnar mmbran and flxural nrgs. hs nrgs masur dffrncs btwns th undformd confguraton and th
More informationorbiting electron turns out to be wrong even though it Unfortunately, the classical visualization of the
Lctur 22-1 Byond Bohr Modl Unfortunatly, th classical visualization of th orbiting lctron turns out to b wrong vn though it still givs us a simpl way to think of th atom. Quantum Mchanics is ndd to truly
More informationWhere k is either given or determined from the data and c is an arbitrary constant.
Exponntial growth and dcay applications W wish to solv an quation that has a drivativ. dy ky k > dx This quation says that th rat of chang of th function is proportional to th function. Th solution is
More informationECE602 Exam 1 April 5, You must show ALL of your work for full credit.
ECE62 Exam April 5, 27 Nam: Solution Scor: / This xam is closd-book. You must show ALL of your work for full crdit. Plas rad th qustions carfully. Plas chck your answrs carfully. Calculators may NOT b
More informationLecture 14. Relic neutrinos Temperature at neutrino decoupling and today Effective degeneracy factor Neutrino mass limits Saha equation
Lctur Rlc nutrnos mpratur at nutrno dcoupln and today Effctv dnracy factor Nutrno mass lmts Saha quaton Physcal Cosmoloy Lnt 005 Rlc Nutrnos Nutrnos ar wakly ntractn partcls (lptons),,,,,,, typcal ractons
More informationThat is, we start with a general matrix: And end with a simpler matrix:
DIAGON ALIZATION OF THE STR ESS TEN SOR INTRO DUCTIO N By th us of Cauchy s thorm w ar abl to rduc th numbr of strss componnts in th strss tnsor to only nin valus. An additional simplification of th strss
More informationIn the table below, write the coordinates of each point in the figure. Point x-coordinate y-coordinate A 0 3 B 3 3 C 3 5 D 3 8 E 5 5 F 6 3 G 3 1
1 TASK 1.1.1: PATTY PAPER TRANSFORMATIONS Solutions 10 D C E A B F G -5 5 10 - - In th tabl blow, writ th s of ach pot th figur. x- y- A 0 3 B 3 3 C 3 5 D 3 E 5 5 F 3 G 3 1 1. On patty papr, trac th figur
More informationChapter 3 Exponential and Logarithmic Functions. Section a. In the exponential decay model A. Check Point Exercises
Chaptr Eponntial and Logarithmic Functions Sction. Chck Point Erciss. a. A 87. Sinc is yars aftr, whn t, A. b. A A 87 k() k 87 k 87 k 87 87 k.4 Thus, th growth function is A 87 87.4t.4t.4t A 87..4t 87.4t
More informationSCIENCE Student Book. 3rd Grade Unit 2
SCIENCE Studnt Book 3rd Grad Unit 2 Unit 2 PLANTS SCIENCE 302 PLANTS Introduction 3 1. Plant Parts...4 Roots 6 Stms 8 Lavs 10 Food Storag Parts 11 Slf Tst 1 15 2. Plant Growth... 17 Watr and Minrals 18
More informationSection 6.1. Question: 2. Let H be a subgroup of a group G. Then H operates on G by left multiplication. Describe the orbits for this operation.
MAT 444 H Barclo Spring 004 Homwork 6 Solutions Sction 6 Lt H b a subgroup of a group G Thn H oprats on G by lft multiplication Dscrib th orbits for this opration Th orbits of G ar th right costs of H
More informationEECE 301 Signals & Systems Prof. Mark Fowler
EECE 301 Signals & Systms Prof. Mark Fowlr ot St #21 D-T Signals: Rlation btwn DFT, DTFT, & CTFT 1/16 W can us th DFT to implmnt numrical FT procssing This nabls us to numrically analyz a signal to find
More informationShortest Paths in Graphs. Paths in graphs. Shortest paths CS 445. Alon Efrat Slides courtesy of Erik Demaine and Carola Wenk
S 445 Shortst Paths n Graphs lon frat Sls courtsy of rk man an arola Wnk Paths n raphs onsr a raph G = (V, ) wth -wht functon w : R. Th wht of path p = v v v k s fn to xampl: k = w ( p) = w( v, v + ).
More informationME 200 Thermodynamics I Spring 2014 Examination 3 Thu 4/10/14 6:30 7:30 PM WTHR 200, CL50 224, PHY 112 LAST NAME FIRST NAME
M 00 hrodynac Sprng 014 xanaton 3 hu 4/10/14 6:30 7:30 PM WHR 00, CL50 4, PHY 11 Crcl your dvon: PHY 11 WHR 00 WHR 00 CL50 4 CL50 4 PHY 11 7:30 Joglkar 9:30 Wagrn 10:30 Gor 1:30 Chn :30 Woodland 4:30 Srcar
More information5. B To determine all the holes and asymptotes of the equation: y = bdc dced f gbd
1. First you chck th domain of g x. For this function, x cannot qual zro. Thn w find th D domain of f g x D 3; D 3 0; x Q x x 1 3, x 0 2. Any cosin graph is going to b symmtric with th y-axis as long as
More informationLesson Plan. NOTE: Be sure to allow sufficient time for a snack.
Bud th Ark Lsson Objctvs Th chdrn w nam as th man who but th ark. Th chdrn w match anma pars. Th chdrn w sng a song about obyng God. Bb Story Txt Gnss 6-8:19 Bb Truth W oby God. (Dutronomy 27:10) Lsson
More information6.1 Integration by Parts and Present Value. Copyright Cengage Learning. All rights reserved.
6.1 Intgration by Parts and Prsnt Valu Copyright Cngag Larning. All rights rsrvd. Warm-Up: Find f () 1. F() = ln(+1). F() = 3 3. F() =. F() = ln ( 1) 5. F() = 6. F() = - Objctivs, Day #1 Studnts will b
More informationDerangements and Applications
2 3 47 6 23 Journal of Intgr Squncs, Vol. 6 (2003), Articl 03..2 Drangmnts and Applications Mhdi Hassani Dpartmnt of Mathmatics Institut for Advancd Studis in Basic Scincs Zanjan, Iran mhassani@iasbs.ac.ir
More informationEEO 401 Digital Signal Processing Prof. Mark Fowler
EEO 401 Digital Signal Procssing Prof. Mark Fowlr Dtails of th ot St #19 Rading Assignmnt: Sct. 7.1.2, 7.1.3, & 7.2 of Proakis & Manolakis Dfinition of th So Givn signal data points x[n] for n = 0,, -1
More informationy = 2xe x + x 2 e x at (0, 3). solution: Since y is implicitly related to x we have to use implicit differentiation: 3 6y = 0 y = 1 2 x ln(b) ln(b)
4. y = y = + 5. Find th quation of th tangnt lin for th function y = ( + ) 3 whn = 0. solution: First not that whn = 0, y = (1 + 1) 3 = 8, so th lin gos through (0, 8) and thrfor its y-intrcpt is 8. y
More informationThe following information relates to Questions 1 to 4:
Th following information rlats to Qustions 1 to 4: QUESTIN 1 Th lctrolyt usd in this ful cll is D watr carbonat ions hydrogn ions hydroxid ions QUESTIN 2 Th product formd in th ful cll is D hydrogn gas
More informationCalculus II (MAC )
Calculus II (MAC232-2) Tst 2 (25/6/25) Nam (PRINT): Plas show your work. An answr with no work rcivs no crdit. You may us th back of a pag if you nd mor spac for a problm. You may not us any calculators.
More information3 2x. 3x 2. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB
Math B Intgration Rviw (Solutions) Do ths intgrals. Solutions ar postd at th wbsit blow. If you hav troubl with thm, sk hlp immdiatly! () 8 d () 5 d () d () sin d (5) d (6) cos d (7) d www.clas.ucsb.du/staff/vinc
More informationECE 2210 / 00 Phasor Examples
EE 0 / 00 Phasor Exampls. Add th sinusoidal voltags v ( t ) 4.5. cos( t 30. and v ( t ) 3.. cos( t 5. v ( t) using phasor notation, draw a phasor diagram of th thr phasors, thn convrt back to tim domain
More informationSyracuse University Art Galleries " I
Syracus Unvrsty Art Gallrs " I t',, ~ I MAG E S 0 F W 0 MEN I N J A PAN ESE P R I N T S ~y Syracus Unvrsty Art Gallrs 1 ACKNOWL EDGt~ENTS n cus ton of Art Call Vs Hrbrt Ann h ra Syracus Art vn m at Curator,
More informationLecture 37 (Schrödinger Equation) Physics Spring 2018 Douglas Fields
Lctur 37 (Schrödingr Equation) Physics 6-01 Spring 018 Douglas Filds Rducd Mass OK, so th Bohr modl of th atom givs nrgy lvls: E n 1 k m n 4 But, this has on problm it was dvlopd assuming th acclration
More informationHeisenberg Model. Sayed Mohammad Mahdi Sadrnezhaad. Supervisor: Prof. Abdollah Langari
snbrg Modl Sad Mohammad Mahd Sadrnhaad Survsor: Prof. bdollah Langar bstract: n ths rsarch w tr to calculat analtcall gnvalus and gnvctors of fnt chan wth ½-sn artcls snbrg modl. W drov gnfuctons for closd
More informationCS 6353 Compiler Construction, Homework #1. 1. Write regular expressions for the following informally described languages:
CS 6353 Compilr Construction, Homwork #1 1. Writ rgular xprssions for th following informally dscribd languags: a. All strings of 0 s and 1 s with th substring 01*1. Answr: (0 1)*01*1(0 1)* b. All strings
More informationElectrochemistry L E O
Rmmbr from CHM151 A rdox raction in on in which lctrons ar transfrrd lctrochmistry L O Rduction os lctrons xidation G R ain lctrons duction W can dtrmin which lmnt is oxidizd or rducd by assigning oxidation
More informationGEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES. Eduard N. Klenov* Rostov-on-Don, Russia
GEOMETRICAL PHENOMENA IN THE PHYSICS OF SUBATOMIC PARTICLES Eduard N. Klnov* Rostov-on-Don, Russia Th articl considrs phnomnal gomtry figurs bing th carrirs of valu spctra for th pairs of th rmaining additiv
More informationUnit 6: Solving Exponential Equations and More
Habrman MTH 111 Sction II: Eonntial and Logarithmic Functions Unit 6: Solving Eonntial Equations and Mor EXAMPLE: Solv th quation 10 100 for. Obtain an act solution. This quation is so asy to solv that
More information0 +1e Radionuclides - can spontaneously emit particles and radiation which can be expressed by a nuclear equation.
Radioactivity Radionuclids - can spontanously mit particls and radiation which can b xprssd by a nuclar quation. Spontanous Emission: Mass and charg ar consrvd. 4 2α -β Alpha mission Bta mission 238 92U
More informationWhat are those βs anyway? Understanding Design Matrix & Odds ratios
Ral paramtr stimat WILD 750 - Wildlif Population Analysis of 6 What ar thos βs anyway? Undrsting Dsign Matrix & Odds ratios Rfrncs Hosmr D.W.. Lmshow. 000. Applid logistic rgrssion. John Wily & ons Inc.
More information4037 ADDITIONAL MATHEMATICS
CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Ordinary Lvl MARK SCHEME for th Octobr/Novmbr 0 sris 40 ADDITIONAL MATHEMATICS 40/ Papr, maimum raw mark 80 This mark schm is publishd as an aid to tachrs and candidats,
More informationu r du = ur+1 r + 1 du = ln u + C u sin u du = cos u + C cos u du = sin u + C sec u tan u du = sec u + C e u du = e u + C
Tchniqus of Intgration c Donald Kridr and Dwight Lahr In this sction w ar going to introduc th first approachs to valuating an indfinit intgral whos intgrand dos not hav an immdiat antidrivativ. W bgin
More informationGrand Canonical Ensemble
Th nsmbl of systms mmrsd n a partcl-hat rsrvor at constant tmpratur T, prssur P, and chmcal potntal. Consdr an nsmbl of M dntcal systms (M =,, 3,...M).. Thy ar mutually sharng th total numbr of partcls
More informationEinstein Equations for Tetrad Fields
Apiron, Vol 13, No, Octobr 006 6 Einstin Equations for Ttrad Filds Ali Rıza ŞAHİN, R T L Istanbul (Turky) Evry mtric tnsor can b xprssd by th innr product of ttrad filds W prov that Einstin quations for
More informationGradebook & Midterm & Office Hours
Your commnts So what do w do whn on of th r's is 0 in th quation GmM(1/r-1/r)? Do w nd to driv all of ths potntial nrgy formulas? I don't undrstand springs This was th first lctur I actually larnd somthing
More information(1) Then we could wave our hands over this and it would become:
MAT* K285 Spring 28 Anthony Bnoit 4/17/28 Wk 12: Laplac Tranform Rading: Kohlr & Johnon, Chaptr 5 to p. 35 HW: 5.1: 3, 7, 1*, 19 5.2: 1, 5*, 13*, 19, 45* 5.3: 1, 11*, 19 * Pla writ-up th problm natly and
More informationAdd sodium hydroxide solution
, :::.l9 &30 ~!fjrkh:+l. ~ S/::T..:=4... A studnt has four solutons lablld A, B, C and D. Each soluton contans on compound from th followng lst: FCh Th studnt dos som smpl tsts to dntfy th compounds prsnt.
More informationDifferentiation of Exponential Functions
Calculus Modul C Diffrntiation of Eponntial Functions Copyright This publication Th Northrn Albrta Institut of Tchnology 007. All Rights Rsrvd. LAST REVISED March, 009 Introduction to Diffrntiation of
More information4. Money cannot be neutral in the short-run the neutrality of money is exclusively a medium run phenomenon.
PART I TRUE/FALSE/UNCERTAIN (5 points ach) 1. Lik xpansionary montary policy, xpansionary fiscal policy rturns output in th mdium run to its natural lvl, and incrass prics. Thrfor, fiscal policy is also
More informationReview - Probabilistic Classification
Mmoral Unvrsty of wfoundland Pattrn Rcognton Lctur 8 May 5, 6 http://www.ngr.mun.ca/~charlsr Offc Hours: Tusdays Thursdays 8:3-9:3 PM E- (untl furthr notc) Gvn lablld sampls { ɛc,,,..., } {. Estmat Rvw
More informationHardy-Littlewood Conjecture and Exceptional real Zero. JinHua Fei. ChangLing Company of Electronic Technology Baoji Shannxi P.R.
Hardy-Littlwood Conjctur and Excptional ral Zro JinHua Fi ChangLing Company of Elctronic Tchnology Baoji Shannxi P.R.China E-mail: fijinhuayoujian@msn.com Abstract. In this papr, w assum that Hardy-Littlwood
More informationSeptember 23, Honors Chem Atomic structure.notebook. Atomic Structure
Atomic Structur Topics covrd Atomic structur Subatomic particls Atomic numbr Mass numbr Charg Cations Anions Isotops Avrag atomic mass Practic qustions atomic structur Sp 27 8:16 PM 1 Powr Standards/ Larning
More informationPartial Derivatives: Suppose that z = f(x, y) is a function of two variables.
Chaptr Functions o Two Variabls Applid Calculus 61 Sction : Calculus o Functions o Two Variabls Now that ou hav som amiliarit with unctions o two variabls it s tim to start appling calculus to hlp us solv
More informationPreview. Graph. Graph. Graph. Graph Representation. Graph Representation 12/3/2018. Graph Graph Representation Graph Search Algorithms
/3/0 Prvw Grph Grph Rprsntton Grph Srch Algorthms Brdth Frst Srch Corrctnss of BFS Dpth Frst Srch Mnmum Spnnng Tr Kruskl s lgorthm Grph Drctd grph (or dgrph) G = (V, E) V: St of vrt (nod) E: St of dgs
More informationAnswer Homework 5 PHA5127 Fall 1999 Jeff Stark
Answr omwork 5 PA527 Fall 999 Jff Stark A patint is bing tratd with Drug X in a clinical stting. Upon admiion, an IV bolus dos of 000mg was givn which yildd an initial concntration of 5.56 µg/ml. A fw
More informationChemical Physics II. More Stat. Thermo Kinetics Protein Folding...
Chmical Physics II Mor Stat. Thrmo Kintics Protin Folding... http://www.nmc.ctc.com/imags/projct/proj15thumb.jpg http://nuclarwaponarchiv.org/usa/tsts/ukgrabl2.jpg http://www.photolib.noaa.gov/corps/imags/big/corp1417.jpg
More informationa 1and x is any real number.
Calcls Nots Eponnts an Logarithms Eponntial Fnction: Has th form y a, whr a 0, a an is any ral nmbr. Graph y, Graph y ln y y Th Natral Bas (Elr s nmbr): An irrational nmbr, symboliz by th lttr, appars
More informationFunction Spaces. a x 3. (Letting x = 1 =)) a(0) + b + c (1) = 0. Row reducing the matrix. b 1. e 4 3. e 9. >: (x = 1 =)) a(0) + b + c (1) = 0
unction Spacs Prrquisit: Sction 4.7, Coordinatization n this sction, w apply th tchniqus of Chaptr 4 to vctor spacs whos lmnts ar functions. Th vctor spacs P n and P ar familiar xampls of such spacs. Othr
More informationBasic Logic Review. Rules. Lecture Roadmap Combinational Logic. Textbook References. Basic Logic Gates (2-input versions)
Lctur Roadmap ombinational Logic EE 55 Digital Systm Dsign with VHDL Lctur Digital Logic Rrshr Part ombinational Logic Building Blocks Basic Logic Rviw Basic Gats D Morgan s Law ombinational Logic Building
More informationsection 1 Influencing Change Toolkit How to: Influence People
Influncing Chang Tlkit Hw t: Influnc Ppl Influncing ppl mans having an ffct n thm, changing r mdifying thir viw. In rdr t influnc chang, w nd t influnc th ppl wh ar in a psitin t mak that chang happn.
More informationFourier Transforms and the Wave Equation. Key Mathematics: More Fourier transform theory, especially as applied to solving the wave equation.
Lur 7 Fourir Transforms and th Wav Euation Ovrviw and Motivation: W first discuss a fw faturs of th Fourir transform (FT), and thn w solv th initial-valu problm for th wav uation using th Fourir transform
More informationSearch sequence databases 3 10/25/2016
Sarch squnc databass 3 10/25/2016 Etrm valu distribution Ø Suppos X is a random variabl with probability dnsity function p(, w sampl a larg numbr S of indpndnt valus of X from this distribution for an
More informationApplied Statistics II - Categorical Data Analysis Data analysis using Genstat - Exercise 2 Logistic regression
Applid Statistics II - Catgorical Data Analysis Data analysis using Gnstat - Exrcis 2 Logistic rgrssion Analysis 2. Logistic rgrssion for a 2 x k tabl. Th tabl blow shows th numbr of aphids aliv and dad
More informationLoad Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below.
oa Euatons Thoughout all of chapt 4, ou focus s on th machn tslf, thfo w wll only pfom a y smpl tatmnt of th ntwok n o to s a complt mol. W o that h, but alz that w wll tun to ths ssu n Chapt 9. So lt
More informationEngineering 323 Beautiful HW #13 Page 1 of 6 Brown Problem 5-12
Enginring Bautiful HW #1 Pag 1 of 6 5.1 Two componnts of a minicomputr hav th following joint pdf for thir usful liftims X and Y: = x(1+ x and y othrwis a. What is th probability that th liftim X of th
More informationCalculus concepts derivatives
All rasonabl fforts hav bn mad to mak sur th nots ar accurat. Th author cannot b hld rsponsibl for any damags arising from th us of ths nots in any fashion. Calculus concpts drivativs Concpts involving
More informationRoadmap. XML Indexing. DataGuide example. DataGuides. Strong DataGuides. Multiple DataGuides for same data. CPS Topics in Database Systems
Roadmap XML Indxing CPS 296.1 Topics in Databas Systms Indx fabric Coopr t al. A Fast Indx for Smistructurd Data. VLDB, 2001 DataGuid Goldman and Widom. DataGuids: Enabling Qury Formulation and Optimization
More informationare given in the table below. t (hours)
CALCULUS WORKSHEET ON INTEGRATION WITH DATA Work th following on notbook papr. Giv dcimal answrs corrct to thr dcimal placs.. A tank contains gallons of oil at tim t = hours. Oil is bing pumpd into th
More informationDivision of Mechanics Lund University MULTIBODY DYNAMICS. Examination Name (write in block letters):.
Division of Mchanics Lund Univrsity MULTIBODY DYNMICS Examination 7033 Nam (writ in block lttrs):. Id.-numbr: Writtn xamination with fiv tasks. Plas chck that all tasks ar includd. clan copy of th solutions
More informationStatistical Thermodynamics: Sublimation of Solid Iodine
c:374-7-ivap-statmch.docx mar7 Statistical Thrmodynamics: Sublimation of Solid Iodin Chm 374 For March 3, 7 Prof. Patrik Callis Purpos:. To rviw basic fundamntals idas of Statistical Mchanics as applid
More informationDifferential Equations
Prfac Hr ar m onlin nots for m diffrntial quations cours that I tach hr at Lamar Univrsit. Dspit th fact that ths ar m class nots, th should b accssibl to anon wanting to larn how to solv diffrntial quations
More information1 Minimum Cut Problem
CS 6 Lctur 6 Min Cut and argr s Algorithm Scribs: Png Hui How (05), Virginia Dat: May 4, 06 Minimum Cut Problm Today, w introduc th minimum cut problm. This problm has many motivations, on of which coms
More informationA. Limits and Horizontal Asymptotes ( ) f x f x. f x. x "±# ( ).
A. Limits and Horizontal Asymptots What you ar finding: You can b askd to find lim x "a H.A.) problm is asking you find lim x "# and lim x "$#. or lim x "±#. Typically, a horizontal asymptot algbraically,
More information4. (5a + b) 7 & x 1 = (3x 1)log 10 4 = log (M1) [4] d = 3 [4] T 2 = 5 + = 16 or or 16.
. 7 7 7... 7 7 (n )0 7 (M) 0(n ) 00 n (A) S ((7) 0(0)) (M) (7 00) 8897 (A). (5a b) 7 7... (5a)... (M) 7 5 5 (a b ) 5 5 a b (M)(A) So th cofficint is 75 (A) (C) [] S (7 7) (M) () 8897 (A) (C) [] 5. x.55
More informationPHA 5128 Answer CASE STUDY 3 Question #1: Model
PHA 5128 Answr CASE STUDY 3 Spring 2008 Qustion #1: Aminoglycosids hav a triphasic disposition, but tobramycin concntration-tim profil hr is dscribd via a 2-compartmnt modl sinc th alpha phas could not
More information