PHA Second Exam. Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
|
|
- Teresa Robinson
- 5 years ago
- Views:
Transcription
1 UFI: PHA 527 Scond Exm Fll 2006 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Pu ll nswrs on h bubbl sh OAL /60 ps
2 UFI: Qusion S I (ru or Fls) (25 poins) ru (A) or Fls (B). On h bubbl sh mr A for ru or B for fls Mr whhr h following smns s ru or fls for drug A, which is clrd only by hpic mbolism nd hs L o of 80 L/h : F his drug is low xrcion drug 2: F h clrnc of nohr drug limind only by h idny (only filrd no rbsorbd) will b smllr hn h of rug A 3: F h orl biovilbiliy of his drug will b significnly smllr hn 80% 4: F h orl biovilbiliy will dpnd on livr blood flow 5: F rug, nown o induc nzyms lso rsponsibl for mbolism of rug A will significnly ffc h clrnc of rug A 2
3 UFI: Qusion S II (5 poins) Imgin high xrcion drug h is only limind vi hpic mbolism. wo pins hv bn injcd wih h sm dos of his drug. hy show h following phrmcoinic propris mx [μg/ml] K [/h] Vd [L] L [L/h] F (%) 6 6: A lis of physiologicl prmr is shown blow. Idnify h on physiologicl prmr h would xplin ll diffrncs in bov phrmcoinic prmrs Prmr- A. GFR B. f u. f u. Q hp E l in 3
4 UFI: Qusion S III (Mching) (20 poins) For h physiologicl chngs lisd blow, slc h inducd chngs on h phrmcoinic prmrs for lipophilic, unionizbl (no cid or bsic group in h molcul), proin bound drug h is limind only hrough h idnys (som nswrs my b usd mor hn onc). Slc h ffc on inics (A) l REN (B) l HEP () V () orl biovilbiliy F (E) fcor no lisd in A- Physiologicl chng 7: crs in plsm proin binding 8: Incrs in issu binding 9: crs in livr blood flow 0: Incrs in urin flow 4
5 UFI: Qusion S IV (Mching) (20 poins) (Assum GFR is 30 ml min -, urin flow is.5 ml min - ) For h following siuions, indic whhr h drug is: Slc from h following choics: (A) filrd (B) rbsorbd () civly scrd () rbsorbd hrough rnsporrs : A drug wih f u 0.02nd l REN 20 ml min - is 2: A drug wih f u 0.40 nd l REN 52 ml min - is 3: A drug wih f u 0.60 nd l REN 0.9 ml min - is 4: A drug wih f u.0 nd l REN 0.3 ml min - is 5
6 UFI: Qusion S V (0 poins) A hydrophilic drug (prdominnly ionizd ph7.4) is limind only by h idny. Plsm proin binding is 90%. Glomrulr filrion r is norml (30 ml/min). Urin flow is 2ml/min. No civ rnl scrion or civ rbsorpion fr rnl filrion is obsrvd. h volum of disribuion is 40 L. 5: Wh is h clrnc? (0 poins) A. 0.5 ml/min B. 3 ml/min. ml/min. 30 ml/min 6: Assum on comprmn body modl? Wh is h rnl clrnc of ypicl minoglycosid in pin showing crinin clrnc of 65 ml /min(0 poins). h plsm proin binding for his minoglycosid is 55 %. A ml/min B. 30 ml/min. 65 ml/min ml/min E ml/min 6
7 UFI: Qusion S VI (20 poins) 7: Robr is vry sic nd nds rmn wih n minoglycosid. In ordr o sr him on h minoglycosid n iv bolus loding dos shll b givn. Your rsponsibiliy is o giv him h firs dos. In ordr o do so, you hv o sim Robr s crinin clrnc. Robr is 5 f 0 inchs ll, 34 yrs old, ml, nd wighs 280 pounds. His srum crinin is.5 mg/dl. Wh crinin clrnc do you com up wih? A. 72 ml/min B. 84 ml/min. 93 ml/min. 03 ml/min E. non of h bov 7
8 UFI: Qusion S VII h sm dos of Alprzolm ws givn ihr lon or wih oconzol. Explin wh is going on by slcing h corrc nswr from h following lis. (5 poins) : h clrnc of lprzlm is incrsd in h prsnc of Koconzol. 2: Alprzlm is lily o b low xrcion drug. 3: Koconzol dcrss h volum of disribuion of Alprzolm, hrby incrsing h hlf-lif of h drug 4: Koconzol is lily o incrs livr blood flow. 8. h corrc nswr is: A. B. 2. 3, 4. 2, 3 E., 2, 3, 4 8
9 UFI: Qusion S VIII (ru or Fls) (30 poins) ru (A) or Fls (B). On h bubbl sh mr A for ru or B for fls Mr whhr h following smns r ru (A) or Fls (B) 9: F h rnl clrnc of drug dpnds h issu binding of h drug. 20: F h hlf-lif of drug incrss wih incrsing issu binding. 2: F o drmin h clrnc of drug, on nds o now whhr h drug is on or wo comprmn drug. 22: F rining lo of wr (urin flow is doubld) will incrs h rnl clrnc of minoglycosids 23: F For n cidic drug wih p of 2.0, djusmn of h urin ph wihin physiologicl rngs will significnly chng h rnl clrnc. 24: F For drug wih linr phrmcoinics, hpic clrnc dpnds on h drug plsm concnrion, s h r of mbolism incrss wih incrsing drug concnrions in h blood. 9
10 UFI: Qusion S IX (ru or Fls) (5 poins) ru (A) or Fls (B). On h bubbl sh mr A for ru or B for fls Mr whhr h following smns r ru (A) or fls (B). Assum linr phrmcoinics for ll qusions. 25: F h lrgr h volum of disribuion, h smllr h AU of givn drug. 26: F oubling h dos will doubl h AU of drug 27: F An incrs in fu will dcrs AU of high-xrcion drug givn orlly. 0
11 Symbols Usful Phrmcoinic Equions dos τ dosing inrvl L clrnc Vd volum of disribuion liminion r consn bsorpion r consn F frcion bsorbd (biovilbiliy) K 0 infusion r durion of infusion plsm concnrion Gnrl Eliminion r consn ln L Vd 2 ln ln Hlf-lif Vd ln( 2) / L Inrvnous bolus rough (mulipl dos) τ 0 min τ Avrg concnrion (sdy s) pss Lτ Orl dminisrion Plsm concnrion (singl dos) F Vd im of mximum concnrion (singl dos) ln mx Plsm concnrion (mulipl dos) F Vd τ τ Iniil concnrion 0 Vd Plsm concnrion (singl dos) 0 Plsm concnrion (mulipl dos) 0 τ P (mulipl dos) 0 mx τ im of mximum concnrion (mulipl dos) τ ) ln τ ( ) mx Avrg concnrion (sdy s) F Lτ lrnc os F l AU l V d Equions/Usful_phrmcoinic_qu_527
12 onsn r infusion Plsm concnrion (during infusion) ( 0 ) L Plsm concnrion (sdy s) 0 L lculd clrnc (hiou quion) 2 2 Vd ( 0 2) L Shor-rm infusion P (singl dos) mx L ( ) rough (singl dos) τ min mx P (mulipl dos) mx L ( ) τ ( ) rough (mulipl dos) lculd p mx mx wih mx * msurd p, msurd im * fr h nd of h infusion lculd rough min min wih min * msurd rough, msurd im * bfor h sr of h nx infusion lculd volum of disribuion Vd [ mx ( ) ( min )] lculd rcommndd dosing inrvl ln τ mx( dsird ) min( dsird ) + lculd rcommndd dos V mx( dsird ) τ ( ) ( ) wo-omprmn-body Modl ( τ ) min mx lculd liminion r consn mx ln min wih * mx msurd p nd * min msurd rough, msurd ovr h im inrvl α + b Equions/Usful_phrmcoinic_qu_527 2 β AU / α + b / β Vd > Vd > Vc r rinin lrnc L L cr cr ss ( 40 g) wigh ( ml) 72 p cr ( 40 g) wigh ( fml) 85 p cr Wih wigh in g, g in yrs, crinin plsm conc. in mg/dl nd L cr in ml/min
13 K for minoglycosids K (rL) Mbolic nd Rnl lrnc E H lin fub Q + l fu H in b l H E Q H H QH lin fub Q + l fu H in b F H Q H Q l H + in fu b l rn RBFE GFR in in ou l rn l rn l rn r of xcrion plsm concnrion R of scrion - R of rbsorpion fu GFR + Plsm concnrion Urin flow urin concnrion Plsm concnrion Idl Body Wigh Ml IBW 50 g g for ch inch ovr 5f in high Fml IBW 45.5 g g for ch inch ovr 5f in high Obs ABW IBW + 0.4*(BW-IBW) Volum of isribuion V V P V V P lrnc l os AU l V d + V + V K P fu fu Equions/Usful_phrmcoinic_qu_527 3
14 For On omprmn Body Modl If h dosing involvs h us of I.V. bolus dminisrio n: For singl I.V. bolus dminisrion: 0 V 0 For mulipl I.V. bolus dminisrion: n( ) V ( n ) τ ( ) τ p: 0; sdy s n rough: τ mx ss V ( ττ ) min ss mx ss τ If h dosing involvs h us of I.V. infusion: For singl shor-rm I.V. infusion: Sinc τ for mx mx min V mx ( ) ( τ ) For mulipl shor-rm I.V. infusion sdy s: mx V min mx ( ) ( τ ) ( τ ) Ls modifid 2006 F:\NEWRIVE\Ph528_os_Op_II\ quions\ quions.doc
15 If h dosing involvs I.V. infusion (mor quions): V (mos gnrl q.) during infusion so, V (during infusion) sdy s, -, 0 so, L V V pss 0 0 (sdy s) rmmbring 0 nd V L If h dosing involvs orl dminisrio n: For singl orl dos: V F ln mx For mulipl orl doss: τ τ V F ln mx τ τ Ls modifid 2006 F:\NEWRIVE\Ph528_os_Op_II\quions\ quions.doc
PHA Second Exam. Fall 2007
PHA 527 Scond Exm Fll 2007 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Pu ll nswrs on h bubbl sh OAL /30 ps Qusion S I (ru or Fls) (5 poins) ru (A) or Fls (B). On h bubbl
More informationPHA Second Exam. Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Nm: UFI #: PHA 527 Scond Exm Fll 20 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Pu ll nswrs on h bubbl sh OAL /200 ps Nm: UFI #: Qusion S I (ru or Fls) (5 poins) ru (A)
More informationPHA First Exam Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
PHA 527 Firs Exm Fll 20 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Qusion S/Poins I. 30 ps II. III. IV 20 ps 5 ps 5 ps V. 25 ps VI. VII. VIII. IX. 0 ps 0 ps 0 ps 35 ps
More informationPHA First Exam Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Nm: UFI#: PHA 5127 Firs Exm Fll 2014 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Qusion S/Poins I. 30 ps II. 20 ps III. 15 ps IV 15 ps V. 25 ps VI. 10 ps VII. 10 ps VIII.
More informationPHA Final Exam Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Nm: UFI#: PHA 527 Finl Exm Fll 2008 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Pls rnsfr h nswrs ono h bubbl sh. Pls fill in ll h informion ncssry o idnify yourslf. h procors
More informationPHA Third Exam. Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Nm: UFI: PHA 527 hird Exm Fll 203 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Qusion/Poins S I 25 S II 25 S III 25 S IV 20 S V 20 S VI 5 S VII 0 ol 40 Nm: Qusion S I (25
More informationPHA Final Exam. Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment. Name:
Nm: PHA 5127 Finl Exm Fll 2011 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm: Pls rnsfr h nswrs ono h bubbl sh. Th qusion numbr rfrs o h numbr on h bubbl sh. Pls fill in ll
More informationPHA Final Exam. Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Nm: PHA 5127 Finl Exm Fll 2012 On my honor, I hv nihr givn nor rcivd unuhorizd id in doing his ssignmn. Nm Pls rnsfr h nswrs ono h bubbl sh. Th qusion numbr rfrs o h numbr on h bubbl sh. Pls fill in ll
More informationCase Study VI Answers PHA 5127 Fall 2006
Qustion. A ptint is givn 250 mg immit-rls thophyllin tblt (Tblt A). A wk ltr, th sm ptint is givn 250 mg sustin-rls thophyllin tblt (Tblt B). Th tblts follow on-comprtmntl mol n hv first-orr bsorption
More information3.4 Repeated Roots; Reduction of Order
3.4 Rpd Roos; Rducion of Ordr Rcll our nd ordr linr homognous ODE b c 0 whr, b nd c r consns. Assuming n xponnil soluion lds o chrcrisic quion: r r br c 0 Qudric formul or fcoring ilds wo soluions, r &
More informationSingle Correct Type. cos z + k, then the value of k equals. dx = 2 dz. (a) 1 (b) 0 (c)1 (d) 2 (code-v2t3paq10) l (c) ( l ) x.
IIT JEE/AIEEE MATHS y SUHAAG SIR Bhopl, Ph. (755)3 www.kolsss.om Qusion. & Soluion. In. Cl. Pg: of 6 TOPIC = INTEGRAL CALCULUS Singl Corr Typ 3 3 3 Qu.. L f () = sin + sin + + sin + hn h primiiv of f()
More informationPHA 4123 First Exam Fall On my honor, I have neither given nor received unauthorized aid in doing this assignment.
PHA 4123 First Exam Fall 1998 On my honor, I have neither given nor received unauthorized aid in doing this assignment. TYPED KEY Name Question 1. / pts 2. /2 pts 3. / pts 4. / pts. / pts 6. /10 pts 7.
More information(b) 10 yr. (b) 13 m. 1.6 m s, m s m s (c) 13.1 s. 32. (a) 20.0 s (b) No, the minimum distance to stop = 1.00 km. 1.
Answers o Een Numbered Problems Chper. () 7 m s, 6 m s (b) 8 5 yr 4.. m ih 6. () 5. m s (b).5 m s (c).5 m s (d) 3.33 m s (e) 8. ().3 min (b) 64 mi..3 h. ().3 s (b) 3 m 4..8 mi wes of he flgpole 6. (b)
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 informationFourier Series and Parseval s Relation Çağatay Candan Dec. 22, 2013
Fourir Sris nd Prsvl s Rlion Çğy Cndn Dc., 3 W sudy h m problm EE 3 M, Fll3- in som dil o illusr som conncions bwn Fourir sris, Prsvl s rlion nd RMS vlus. Q. ps h signl sin is h inpu o hlf-wv rcifir circui
More informationFourier. Continuous time. Review. with period T, x t. Inverse Fourier F Transform. x t. Transform. j t
Coninuous im ourir rnsform Rviw. or coninuous-im priodic signl x h ourir sris rprsnion is x x j, j 2 d wih priod, ourir rnsform Wh bou priodic signls? W willl considr n priodic signl s priodic signl wih
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 informationThe model proposed by Vasicek in 1977 is a yield-based one-factor equilibrium model given by the dynamic
h Vsick modl h modl roosd by Vsick in 977 is yild-bsd on-fcor quilibrium modl givn by h dynmic dr = b r d + dw his modl ssums h h shor r is norml nd hs so-clld "mn rvring rocss" (undr Q. If w u r = b/,
More informationEngine Thrust. From momentum conservation
Airbrhing Propulsion -1 Airbrhing School o Arospc Enginring Propulsion Ovrviw w will b xmining numbr o irbrhing propulsion sysms rmjs, urbojs, urbons, urboprops Prormnc prmrs o compr hm, usul o din som
More informationMath 266, Practice Midterm Exam 2
Mh 66, Prcic Midrm Exm Nm: Ground Rul. Clculor i NOT llowd.. Show your work for vry problm unl ohrwi d (pril crdi r vilbl). 3. You my u on 4-by-6 indx crd, boh id. 4. Th bl of Lplc rnform i vilbl h l pg.
More informationPHA Final Exam Fall 2007
PHA 5127 Final Exam Fall 2007 On my honor, I hav nithr givn nor rcivd unauthorizd aid in doing this assignmnt. Nam Plas transfr th answrs onto th bubbl sht. Th qustion numbr rfrs to th numbr on th bubbl
More informationRelation between Fourier Series and Transform
EE 37-3 8 Ch. II: Inro. o Sinls Lcur 5 Dr. Wih Abu-Al-Su Rlion bwn ourir Sris n Trnsform Th ourir Trnsform T is riv from h finiion of h ourir Sris S. Consir, for xmpl, h prioic complx sinl To wih prio
More informationINTERQUARTILE RANGE. I can calculate variabilityinterquartile Range and Mean. Absolute Deviation
INTERQUARTILE RANGE I cn clcul vribiliyinrquril Rng nd Mn Absolu Dviion 1. Wh is h grs common fcor of 27 nd 36?. b. c. d. 9 3 6 4. b. c. d.! 3. Us h grs common fcor o simplify h frcion!".!". b. c. d.
More informationELECTRIC VELOCITY SERVO REGULATION
ELECIC VELOCIY SEVO EGULAION Gorg W. Younkin, P.E. Lif FELLOW IEEE Indusril Conrols Consuling, Di. Bulls Ey Mrking, Inc. Fond du Lc, Wisconsin h prformnc of n lcricl lociy sro is msur of how wll h sro
More information16.512, Rocket Propulsion Prof. Manuel Martinez-Sanchez Lecture 3: Ideal Nozzle Fluid Mechanics
6.5, Rok ropulsion rof. nul rinz-snhz Lur 3: Idl Nozzl luid hnis Idl Nozzl low wih No Sprion (-D) - Qusi -D (slndr) pproximion - Idl gs ssumd ( ) mu + Opimum xpnsion: - or lss, >, ould driv mor forwrd
More informationUNIT # 08 (PART - I)
. r. d[h d[h.5 7.5 mol L S d[o d[so UNIT # 8 (PRT - I CHEMICL INETICS EXERCISE # 6. d[ x [ x [ x. r [X[C ' [X [[B r '[ [B [C. r [NO [Cl. d[so d[h.5 5 mol L S d[nh d[nh. 5. 6. r [ [B r [x [y r' [x [y r'
More informationA Study of the Solutions of the Lotka Volterra. Prey Predator System Using Perturbation. Technique
Inrnionl hmil orum no. 667-67 Sud of h Soluions of h o Volrr r rdor Ssm Using rurion Thniqu D.Vnu ol Ro * D. of lid hmis IT Collg of Sin IT Univrsi Vishnm.. Indi Y... Thorni D. of lid hmis IT Collg of
More informationA L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
More informationPupil / Class Record We can assume a word has been learned when it has been either tested or used correctly at least three times.
2 Pupi / Css Rr W ssum wr hs b r wh i hs b ihr s r us rry s hr ims. Nm: D Bu: fr i bus brhr u firs hf hp hm s uh i iv iv my my mr muh m w ih w Tik r pp push pu sh shu sisr s sm h h hir hr hs im k w vry
More informationJonathan Turner Exam 2-10/28/03
CS Algorihm n Progrm Prolm Exm Soluion S Soluion Jonhn Turnr Exm //. ( poin) In h Fioni hp ruur, u wn vrx u n i prn v u ing u v i v h lry lo hil in i l m hil o om ohr vrx. Suppo w hng hi, o h ing u i prorm
More informationFL/VAL ~RA1::1. Professor INTERVI of. Professor It Fr recru. sor Social,, first of all, was. Sys SDC? Yes, as a. was a. assumee.
B Pror NTERV FL/VAL ~RA1::1 1 21,, 1989 i n or Socil,, fir ll, Pror Fr rcru Sy Ar you lir SDC? Y, om um SM: corr n 'd m vry ummr yr. Now, y n y, f pr my ry for ummr my 1 yr Un So vr ummr cour d rr o l
More informationCh 1.2: Solutions of Some Differential Equations
Ch 1.2: Solutions of Som Diffrntil Equtions Rcll th fr fll nd owl/mic diffrntil qutions: v 9.8.2v, p.5 p 45 Ths qutions hv th gnrl form y' = y - b W cn us mthods of clculus to solv diffrntil qutions of
More informationRevisiting what you have learned in Advanced Mathematical Analysis
Fourir sris Rvisiing wh you hv lrnd in Advncd Mhmicl Anlysis L f x b priodic funcion of priod nd is ingrbl ovr priod. f x cn b rprsnd by rigonomric sris, f x n cos nx bn sin nx n cos x b sin x cosx b whr
More information2D Motion WS. A horizontally launched projectile s initial vertical velocity is zero. Solve the following problems with this information.
Nme D Moion WS The equions of moion h rele o projeciles were discussed in he Projecile Moion Anlsis Acii. ou found h projecile moes wih consn eloci in he horizonl direcion nd consn ccelerion in he ericl
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 informationIntegration Continued. Integration by Parts Solving Definite Integrals: Area Under a Curve Improper Integrals
Intgrtion Continud Intgrtion y Prts Solving Dinit Intgrls: Ar Undr Curv Impropr Intgrls Intgrtion y Prts Prticulrly usul whn you r trying to tk th intgrl o som unction tht is th product o n lgric prssion
More informationOppgavesett kap. 6 (1 av..)
Oppgvstt kp. 6 (1 v..) hns.brnn@go.uio.no Problm 1 () Wht is homognous nucltion? Why dos Figur 6.2 in th book show tht w won't gt homognous nucltion in th tmosphr? ˆ Homognous nucltion crts cloud droplts
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY HAYSTACK OBSERVATORY WESTFORD, MASSACHUSETTS
VSRT MEMO #05 MASSACHUSETTS INSTITUTE OF TECHNOLOGY HAYSTACK OBSERVATORY WESTFORD, MASSACHUSETTS 01886 Fbrury 3, 009 Tlphon: 781-981-507 Fx: 781-981-0590 To: VSRT Group From: Aln E.E. Rogrs Subjct: Simplifid
More informationBoyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors
Boc/DiPrima 9 h d, Ch.: Linar Equaions; Mhod of Ingraing Facors Elmnar Diffrnial Equaions and Boundar Valu Problms, 9 h diion, b William E. Boc and Richard C. DiPrima, 009 b John Wil & Sons, Inc. A linar
More informationPARABOLA. moves such that PM. = e (constant > 0) (eccentricity) then locus of P is called a conic. or conic section.
wwwskshieducioncom PARABOLA Le S be given fixed poin (focus) nd le l be given fixed line (Direcrix) Le SP nd PM be he disnce of vrible poin P o he focus nd direcrix respecively nd P SP moves such h PM
More informationName:... Batch:... TOPIC: II (C) 1 sec 3 2x - 3 sec 2x. 6 é ë. logtan x (A) log (tan x) (B) cot (log x) (C) log log (tan x) (D) tan (log x) cos x (C)
Nm:... Bch:... TOPIC: II. ( + ) d cos ( ) co( ) n( ) ( ) n (D) non of hs. n sc d sc + sc é ësc sc ù û sc sc é ë ù û (D) non of hs. sc cosc d logn log (n ) co (log ) log log (n ) (D) n (log ). cos log(
More information(A) 1 (B) 1 + (sin 1) (C) 1 (sin 1) (D) (sin 1) 1 (C) and g be the inverse of f. Then the value of g'(0) is. (C) a. dx (a > 0) is
[STRAIGHT OBJECTIVE TYPE] l Q. Th vlu of h dfii igrl, cos d is + (si ) (si ) (si ) Q. Th vlu of h dfii igrl si d whr [, ] cos cos Q. Vlu of h dfii igrl ( si Q. L f () = d ( ) cos 7 ( ) )d d g b h ivrs
More informationMicroscopic Flow Characteristics Time Headway - Distribution
CE57: Traffic Flow Thory Spring 20 Wk 2 Modling Hadway Disribuion Microscopic Flow Characrisics Tim Hadway - Disribuion Tim Hadway Dfiniion Tim Hadway vrsus Gap Ahmd Abdl-Rahim Civil Enginring Dparmn,
More informationMidterm exam 2, April 7, 2009 (solutions)
Univrsiy of Pnnsylvania Dparmn of Mahmaics Mah 26 Honors Calculus II Spring Smsr 29 Prof Grassi, TA Ashr Aul Midrm xam 2, April 7, 29 (soluions) 1 Wri a basis for h spac of pairs (u, v) of smooh funcions
More informationInstructions for Section 1
Instructions for Sction 1 Choos th rspons tht is corrct for th qustion. A corrct nswr scors 1, n incorrct nswr scors 0. Mrks will not b dductd for incorrct nswrs. You should ttmpt vry qustion. No mrks
More informationLaplace Transform. National Chiao Tung University Chun-Jen Tsai 10/19/2011
plc Trnorm Nionl Chio Tung Univriy Chun-Jn Ti /9/ Trnorm o Funcion Som opror rnorm uncion ino nohr uncion: d Dirniion: x x, or Dx x dx x Indini Ingrion: x dx c Dini Ingrion: x dx 9 A uncion my hv nicr
More informationThe Procedure Abstraction Part II: Symbol Tables and Activation Records
Th Produr Absrion Pr II: Symbol Tbls nd Aivion Rords Th Produr s Nm Sp Why inrodu lxil soping? Provids ompil-im mhnism for binding vribls Ls h progrmmr inrodu lol nms How n h ompilr kp rk of ll hos nms?
More informationDerivation of the differential equation of motion
Divion of h iffnil quion of oion Fis h noions fin h will us fo h ivion of h iffnil quion of oion. Rollo is hough o -insionl isk. xnl ius of h ll isnc cn of ll (O) - IDU s cn of gviy (M) θ ngl of inclinion
More informationLecture 21 : Graphene Bandstructure
Fundmnls of Nnolcronics Prof. Suprio D C 45 Purdu Univrsi Lcur : Grpn Bndsrucur Rf. Cpr 6. Nwor for Compuionl Nnocnolog Rviw of Rciprocl Lic :5 In ls clss w lrnd ow o consruc rciprocl lic. For D w v: Rl-Spc:
More informationEXERCISE - 01 CHECK YOUR GRASP
DEFNTE NTEGRATON EXERCSE - CHECK YOUR GRASP. ( ) d [ ] d [ ] d d ƒ( ) ƒ '( ) [ ] [ ] 8 5. ( cos )( c)d 8 ( cos )( c)d + 8 ( cos )( c) d 8 ( cos )( c) d sic + cos 8 is lwys posiiv f() d ( > ) ms f() is
More information1 Finite Automata and Regular Expressions
1 Fini Auom nd Rgulr Exprion Moivion: Givn prn (rgulr xprion) for ring rching, w migh wn o convr i ino drminiic fini uomon or nondrminiic fini uomon o mk ring rching mor fficin; drminiic uomon only h o
More informationAdrian Sfarti University of California, 387 Soda Hall, UC Berkeley, California, USA
Innionl Jonl of Phoonis n Oil Thnolo Vol. 3 Iss. : 36-4 Jn 7 Rliisi Dnis n lonis in Unifol l n in Unifol Roin s-th Gnl ssions fo h loni 4-Vo Ponil in Sfi Unisi of Clifoni 387 So Hll UC Bkl Clifoni US s@ll.n
More informationLGOVNATDEFUSAAD
ECONOMETRIC PROBLEMS WITH TIME-SERIES DATA Sionriy: A sris is sid o covrinc sionry if is mn nd covrincs r unffcd y chng of im origin Qusion : Do you hink h following sris r sionry? Log Rl Nionl Dfnc Expndiurs
More informationStatistics Assessing Normality Gary W. Oehlert School of Statistics 313B Ford Hall
Siic 504 0. Aing Normliy Gry W. Ohlr School of Siic 33B For Hll 6-65-557 gry@.umn.u Mny procur um normliy. Som procur fll pr if h rn norml, whr ohr cn k lo of bu n kp going. In ihr c, i nic o know how
More informationThe general concept of pharmacokinetics
The general concept of pharmacokinetics Hartmut Derendorf, PhD University of Florida Pharmacokinetics the time course of drug and metabolite concentrations in the body Pharmacokinetics helps to optimize
More informationRight Angle Trigonometry
Righ gl Trigoomry I. si Fs d Dfiiios. Righ gl gl msurig 90. Srigh gl gl msurig 80. u gl gl msurig w 0 d 90 4. omplmry gls wo gls whos sum is 90 5. Supplmry gls wo gls whos sum is 80 6. Righ rigl rigl wih
More informationLecture 1: Numerical Integration The Trapezoidal and Simpson s Rule
Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -
More informationEE 350 Signals and Systems Spring 2005 Sample Exam #2 - Solutions
EE 35 Signals an Sysms Spring 5 Sampl Exam # - Soluions. For h following signal x( cos( sin(3 - cos(5 - T, /T x( j j 3 j 3 j j 5 j 5 j a -, a a -, a a - ½, a 3 /j-j -j/, a -3 -/jj j/, a 5 -½, a -5 -½,
More informationA THREE COMPARTMENT MATHEMATICAL MODEL OF LIVER
A THREE COPARTENT ATHEATICAL ODEL OF LIVER V. An N. Ch. Paabhi Ramacharyulu Faculy of ahmaics, R D collgs, Hanamonda, Warangal, India Dparmn of ahmaics, Naional Insiu of Tchnology, Warangal, India E-ail:
More informationChapter4 Time Domain Analysis of Control System
Chpr4 im Domi Alyi of Corol Sym Rouh biliy cririo Sdy rror ri rpo of h fir-ordr ym ri rpo of h cod-ordr ym im domi prformc pcificio h rliohip bw h prformc pcificio d ym prmr ri rpo of highr-ordr ym Dfiiio
More informationPHA Final Exam Fall 2001
PHA 5127 Final Exam Fall 2001 On my honor, I hav nithr givn nor rcivd unauthorizd aid in doing this assignmnt. Nam Qustion/Points 1. /12 pts 2. /8 pts 3. /12 pts 4. /20 pts 5. /27 pts 6. /15 pts 7. /20
More informationAR(1) Process. The first-order autoregressive process, AR(1) is. where e t is WN(0, σ 2 )
AR() Procss Th firs-ordr auorgrssiv procss, AR() is whr is WN(0, σ ) Condiional Man and Varianc of AR() Condiional man: Condiional varianc: ) ( ) ( Ω Ω E E ) var( ) ) ( var( ) var( σ Ω Ω Ω Ω E Auocovarianc
More informationS Radio transmission and network access Exercise 1-2
S-7.330 Rdio rnsmission nd nework ccess Exercise 1 - P1 In four-symbol digil sysem wih eqully probble symbols he pulses in he figure re used in rnsmission over AWGN-chnnel. s () s () s () s () 1 3 4 )
More information1. Consider a PSA initially at rest in the beginning of the left-hand end of a long ISS corridor. Assume xo = 0 on the left end of the ISS corridor.
In Eercise 1, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 1. Consider PSA iniilly res in he beginning of he lef-hnd
More informationMath 3301 Homework Set 6 Solutions 10 Points. = +. The guess for the particular P ( ) ( ) ( ) ( ) ( ) ( ) ( ) cos 2 t : 4D= 2
Mah 0 Homwork S 6 Soluions 0 oins. ( ps) I ll lav i o you o vrify ha y os sin = +. Th guss for h pariular soluion and is drivaivs is blow. Noi ha w ndd o add s ono h las wo rms sin hos ar xaly h omplimnary
More informationErlkönig. t t.! t t. t t t tj "tt. tj t tj ttt!t t. e t Jt e t t t e t Jt
Gsng Po 1 Agio " " lkö (Compl by Rhol Bckr, s Moifi by Mrk S. Zimmr)!! J "! J # " c c " Luwig vn Bhovn WoO 131 (177) I Wr Who!! " J J! 5 ri ris hro' h spä h, I urch J J Nch rk un W Es n wil A J J is f
More informationEquations and Boundary Value Problems
Elmn Diffnil Equions nd Bound Vlu Poblms Bo. & DiPim, 9 h Ediion Chp : Sond Od Diffnil Equions 6 คณ ตศาสตร ว ศวกรรม สาขาว ชาว ศวกรรมคอมพ วเตอร ป การศ กษา /555 ผศ.ดร.อร ญญา ผศ.ดร.สมศ กด วล ยร ชต Topis Homognous
More informationElementary Differential Equations and Boundary Value Problems
Elmnar Diffrnial Equaions and Boundar Valu Problms Boc. & DiPrima 9 h Ediion Chapr : Firs Ordr Diffrnial Equaions 00600 คณ ตศาสตร ว ศวกรรม สาขาว ชาว ศวกรรมคอมพ วเตอร ป การศ กษา /55 ผศ.ดร.อร ญญา ผศ.ดร.สมศ
More informationCase Study Vancomycin Answers Provided by Jeffrey Stark, Graduate Student
Cas Stuy Vancomycin Answrs Provi by Jffry Stark, Grauat Stunt h antibiotic Vancomycin is liminat almost ntirly by glomrular filtration. For a patint with normal rnal function, th half-lif is about 6 hours.
More informationT h e C S E T I P r o j e c t
T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T
More informationFloating Point Number System -(1.3)
Floting Point Numbr Sstm -(.3). Floting Point Numbr Sstm: Comutrs rrsnt rl numbrs in loting oint numbr sstm: F,k,m,M 0. 3... k ;0, 0 i, i,...,k, m M. Nottions: th bs 0, k th numbr o igts in th bs xnsion
More informationFloating Point Number System -(1.3)
Floting Point Numbr Sstm -(.3). Floting Point Numbr Sstm: Comutrs rrsnt rl numbrs in loting oint numbr sstm: F,k,m,M 0. 3... k ;0, 0 i, i,...,k, m M. Nottions: th bs 0, k th numbr o igits in th bs xnsion
More informationA Simple Method for Determining the Manoeuvring Indices K and T from Zigzag Trial Data
Rind 8-- Wbsi: wwwshimoionsnl Ro 67, Jun 97, Dlf Univsiy of chnoloy, Shi Hydomchnics Lbooy, Mklw, 68 CD Dlf, h Nhlnds A Siml Mhod fo Dminin h Mnouvin Indics K nd fom Ziz il D JMJ Jouné Dlf Univsiy of chnoloy
More informationWave Phenomena Physics 15c
Wv hnon hyscs 5c cur 4 Coupl Oscllors! H& con 4. Wh W D s T " u forc oscllon " olv h quon of oon wh frcon n foun h sy-s soluon " Oscllon bcos lr nr h rsonnc frquncy " hs chns fro 0 π/ π s h frquncy ncrss
More informationSignals & Systems - Chapter 3
.EgrCS.cm, i Sigls d Sysms pg 9 Sigls & Sysms - Chpr S. Ciuus-im pridic sigl is rl vlud d hs fudml prid 8. h zr Furir sris cfficis r -, - *. Eprss i h m. cs A φ Slui: 8cs cs 8 8si cs si cs Eulrs Apply
More informationOn the Existence and uniqueness for solution of system Fractional Differential Equations
OSR Jourl o Mhms OSR-JM SSN: 78-578. Volum 4 ssu 3 Nov. - D. PP -5 www.osrjourls.org O h Es d uquss or soluo o ssm rol Drl Equos Mh Ad Al-Wh Dprm o Appld S Uvrs o holog Bghdd- rq Asr: hs ppr w d horm o
More informationCSE 245: Computer Aided Circuit Simulation and Verification
CSE 45: Compur Aidd Circui Simulaion and Vrificaion Fall 4, Sp 8 Lcur : Dynamic Linar Sysm Oulin Tim Domain Analysis Sa Equaions RLC Nwork Analysis by Taylor Expansion Impuls Rspons in im domain Frquncy
More informationEXERCISE - 01 CHECK YOUR GRASP
DIFFERENTIAL EQUATION EXERCISE - CHECK YOUR GRASP 7. m hn D() m m, D () m m. hn givn D () m m D D D + m m m m m m + m m m m + ( m ) (m ) (m ) (m + ) m,, Hnc numbr of valus of mn will b. n ( ) + c sinc
More informationChapter 4 Circular and Curvilinear Motions
Chp 4 Cicul n Cuilin Moions H w consi picls moing no long sigh lin h cuilin moion. W fis su h cicul moion, spcil cs of cuilin moion. Anoh mpl w h l sui li is h pojcil..1 Cicul Moion Unifom Cicul Moion
More informationAdvanced Engineering Mathematics, K.A. Stroud, Dexter J. Booth Engineering Mathematics, H.K. Dass Higher Engineering Mathematics, Dr. B.S.
Rfrc: (i) (ii) (iii) Advcd Egirig Mhmic, K.A. Sroud, Dxr J. Booh Egirig Mhmic, H.K. D Highr Egirig Mhmic, Dr. B.S. Grwl Th mhod of m Thi coi of h followig xm wih h giv coribuio o h ol. () Mid-rm xm : 3%
More informationSAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy.
LTNY OF TH SNTS Cntrs Gnt flwng ( = c. 100) /G Ddd9/F ll Kybrd / hv Ddd9 hv hv Txt 1973, CL. ll rghts rsrvd. Usd wth prmssn. Musc: D. Bckr, b. 1953, 1987, D. Bckr. Publshd by OCP. ll rghts rsrvd. SMPL
More informationUNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o
More informationHandout on. Crystal Symmetries and Energy Bands
dou o Csl s d g Bds I hs lu ou wll l: Th loshp bw ss d g bds h bs of sp-ob ouplg Th loshp bw ss d g bds h ps of sp-ob ouplg C 7 pg 9 Fh Coll Uvs d g Bds gll hs oh Th sl pol ss ddo o h l slo s: Fo pl h
More informationDecline Curves. Exponential decline (constant fractional decline) Harmonic decline, and Hyperbolic decline.
Dlin Curvs Dlin Curvs ha lo flow ra vs. im ar h mos ommon ools for forasing roduion and monioring wll rforman in h fild. Ths urvs uikly show by grahi mans whih wlls or filds ar roduing as xd or undr roduing.
More informationMajor: All Engineering Majors. Authors: Autar Kaw, Luke Snyder
Nolr Rgrsso Mjor: All Egrg Mjors Auhors: Aur Kw, Luk Sydr hp://urclhodsgusfdu Trsforg Nurcl Mhods Educo for STEM Udrgrdus 3/9/5 hp://urclhodsgusfdu Nolr Rgrsso hp://urclhodsgusfdu Nolr Rgrsso So populr
More informationS.Y. B.Sc. (IT) : Sem. III. Applied Mathematics. Q.1 Attempt the following (any THREE) [15]
S.Y. B.Sc. (IT) : Sm. III Applid Mahmaics Tim : ½ Hrs.] Prlim Qusion Papr Soluion [Marks : 75 Q. Amp h following (an THREE) 3 6 Q.(a) Rduc h mari o normal form and find is rank whr A 3 3 5 3 3 3 6 Ans.:
More informationME 522 PRINCIPLES OF ROBOTICS. FIRST MIDTERM EXAMINATION April 19, M. Kemal Özgören
ME 522 PINCIPLES OF OBOTICS FIST MIDTEM EXAMINATION April 9, 202 Nm Lst Nm M. Kml Özgörn 2 4 60 40 40 0 80 250 USEFUL FOMULAS cos( ) cos cos sin sin sin( ) sin cos cos sin sin y/ r, cos x/ r, r 0 tn 2(
More informationc. What is the average rate of change of f on the interval [, ]? Answer: d. What is a local minimum value of f? Answer: 5 e. On what interval(s) is f
Essential Skills Chapter f ( x + h) f ( x ). Simplifying the difference quotient Section. h f ( x + h) f ( x ) Example: For f ( x) = 4x 4 x, find and simplify completely. h Answer: 4 8x 4 h. Finding the
More informationSOME USEFUL MATHEMATICS
SOME USEFU MAHEMAICS SOME USEFU MAHEMAICS I is esy o mesure n preic he behvior of n elecricl circui h conins only c volges n currens. However, mos useful elecricl signls h crry informion vry wih ime. Since
More informationAverage & instantaneous velocity and acceleration Motion with constant acceleration
Physics 7: Lecure Reminders Discussion nd Lb secions sr meeing ne week Fill ou Pink dd/drop form if you need o swich o differen secion h is FULL. Do i TODAY. Homework Ch. : 5, 7,, 3,, nd 6 Ch.: 6,, 3 Submission
More informationCHAPTER 9. Compressible Flow. Btu ft-lb lbm ft-lb c p = = ft-lb slug- R. slug- R. 1 k. p p. p v p v. = ρ ρ
CHPTER 9 Cmrssibl Flw 9 Bu f-lb lbm f-lb c 778 6 lbm- R Bu slug slug- R f-lb cv c R 6 76 96 96 slug- R Bu 7 lbm R f-lb slug- R Bu 778 f - lb slug lbm c 9 c cv + R c cv c + R r c R c R / ( ) 9 If s, Eq
More informationEE415/515 Fundamentals of Semiconductor Devices Fall 2012
3 EE4555 Fudmls of Smicoducor vics Fll cur 8: PN ucio iod hr 8 Forwrd & rvrs bis Moriy crrir diffusio Brrir lowrd blcd by iffusio rducd iffusio icrsd mioriy crrir drif rif hcd 3 EE 4555. E. Morris 3 3
More information3 Motion with constant acceleration: Linear and projectile motion
3 Moion wih consn ccelerion: Liner nd projecile moion cons, In he precedin Lecure we he considered moion wih consn ccelerion lon he is: Noe h,, cn be posiie nd neie h leds o rie of behiors. Clerl similr
More information5.1-The Initial-Value Problems For Ordinary Differential Equations
5.-The Iniil-Vlue Problems For Ordinry Differenil Equions Consider solving iniil-vlue problems for ordinry differenil equions: (*) y f, y, b, y. If we know he generl soluion y of he ordinry differenil
More information4.8 Improper Integrals
4.8 Improper Inegrls Well you ve mde i hrough ll he inegrion echniques. Congrs! Unforunely for us, we sill need o cover one more inegrl. They re clled Improper Inegrls. A his poin, we ve only del wih inegrls
More informationMidterm. Answer Key. 1. Give a short explanation of the following terms.
ECO 33-00: on nd Bnking Souhrn hodis Univrsi Spring 008 Tol Poins 00 0 poins for h pr idrm Answr K. Giv shor xplnion of h following rms. Fi mon Fi mon is nrl oslssl produd ommodi h n oslssl sord, oslssl
More informationVexilla regis prodeunt
Vl prt Vnnus Frn (530609) Cn Pir l Ru (c. 1452 151) pr t d,,, r, : mn m p V Qu Im Ar B spn gn sn dm D r p pl br Qu cr ns cn lc s c gt cr n l d r mm t l, cr v n fc 4 R p st d br qu r nt c t qu r r pn prd
More informationDigital Signal Processing. Digital Signal Processing READING ASSIGNMENTS. License Info for SPFirst Slides. Fourier Transform LECTURE OBJECTIVES
Digil Signl Procssing Digil Signl Procssing Prof. Nizmin AYDIN nydin@yildiz.du.r hp:www.yildiz.du.r~nydin Lcur Fourir rnsform Propris Licns Info for SPFirs Slids READING ASSIGNMENS his work rlsd undr Criv
More information5. An object moving along an x-coordinate axis with its scale measured in meters has a velocity of 6t
AP CALCULUS FINAL UNIT WORKSHEETS ACCELERATION, VELOCTIY AND POSITION In problms -, drmin h posiion funcion, (), from h givn informaion.. v (), () = 5. v ()5, () = b g. a (), v() =, () = -. a (), v() =
More informationThe transition:transversion rate ratio vs. the T-ratio.
PhyloMah Lcur 8 by Dan Vandrpool March, 00 opics of Discussion ransiion:ransvrsion ra raio Kappa vs. ransiion:ransvrsion raio raio alculaing h xpcd numbr of subsiuions using marix algbra Why h nral im
More information