M 408C-Goddard-Fall 2004-Test 2

# M 408C-Goddard-Fall 2004-Test 2 - / Math 408C Exam 2 No...

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/ Math 408C Exam 2 I b~ Name EID No Calculators, books, notes, etc. 1. Evaluate J ~ dx. < L -\ Is VX ~ J ~~ d~ c.S ills ~.J-=\X - c, { 0 [~ ~)( ~J, 3J 2. Find 17 V2x - 5 dx - b

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(o 5. A particle's acceleration is a(t) = cos t + sin t. If 3(0) = 0 and v(O) = 5, find the particle's position when t = 7r/ 4. t\Lt\: ~'='"";)\- .\-'\.',,",~ v (.+-\ -:. <;\ "'" t - {<> ~ -\: -\- C- O u l())!:. ~'.V'\ U; - (t:>';>{; ~ c. -e- S D-\ lr-L~S <..~" .,/ _ vL\\ -=- s·,. .---l -C.Ob-t -\--b S (t\ -: - {;-ot> t - s',""'{ -\- (.~ \-C- <; (t;':J ~ - c<>'.>{O) - s~" tal -\- ~(P) \- c. ~ t> S (~): - G-C>~~ - ~:.)~ ~ S + \ __ '- V\, ~-~. .\.--~""\ '4 "'" _ \ _ 0 )""0 ~ L = 0.., (..-:. 6. Two sides of a triangle have length 5 and 7. The angle between them is e. What e maximizes the area of the triangle? o ------ - - --
7. R is the region bounded by the curves y = yX, y = 1, and x = O. Find the area of R. \ o

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## This note was uploaded on 02/09/2010 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas at Austin.

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M 408C-Goddard-Fall 2004-Test 2 - / Math 408C Exam 2 No...

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