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MAT397-2008Spring

# MAT397-2008Spring - MAT 397 FINAL EXAM May 5 2008 Student...

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MAT 397 FINAL EXAM, May 5, 2008 NAME: Circle your instructor's name: Student ID: Adarnowicz Coman Fatica Mao Quinn Shen Write your answers ancl show all youl worl< on this test, There arc 9 problcnrs ou I pagcs (includiug this covel shcet), fbl a, total of 100 points, To receive fi.rll or partial credit, the correcl; work lcading to tJre collect answeÌ must be written down, Unsuppor-ted ansrvers wilì rcceivc little or uo cleclit. Graphics c¿llcnlatols may be used. Symbolic calculators, such as TI-89 or TI-92, may not bc used. l'roblem Score 1 10 2 10 .) J 10 4 10 5 15 6 10 7 10 B 15 q 10 fotal (100)

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2 1,(10 points) Fincl the area of the tliarrgle with veltices (1,0, 1), (0,2,3) and (*1, -3,2) 2.(10 poilts) Fincl an equation of thc plane through the poir.rt ( 4,3, t) and pcrpcrrdicular to lhe line witlr paÌarnetric equations r :2 )- L, u : -I + 21, z : -t .
3.(10 points) The velocity lunctiolr oI a palticle movirtg ir l;he space is given by 4 .^ '(r) - p;-i.- (r2 r l)j r 6/'?k . At tilne ¿ : 0 the position vcctor oI the particle is r(0) - (1, -1, 1). Find t,he following (a) Thc acccleration fulction a(f) oI the particle.

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