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mt2solblue - Math 19A MIDTERM EXAM 2 Version 1 11/21/2008 ,...

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MIDTERM EXAM 2 Math 19A Version 1 11/21/2008 , Dr. Frank Bauerle, UCSC Note: Show your work. In other words, just writing the answer, even if correct, may not be sufficient for full credit. Scientific calcula- tors are allowed, but no programmable and/or graphing calculators. Your Name: Your TA's Name: Problem 1: out of 30 Problem 2: out of 10 Problem S: out of 10 Problem 4: out of 10 Problem 5: out of 10 Problem 6: out of 25 Problem 7: out of 5 Problem 8: out of 10 (Bonus Question) Total: out of 100 Good luck and have a good weekend! 1
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1. (30 points) Compute the requested derivatives of the following functions: (a) (5 points) ~~ for y = sin(5 - x) dz ,---:::-:- (b) (5 points) dt for z = vt + e 2t (c) (3 points) j'(x) for f(x) = sin(cos(tan(ln2))) f'. . OJ t.\ W- _ f l ('f) =:: 0 The problem continues on the next page! 2
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j'(x) for f(x) = arctan(2-· 3k (x)) , where k(x) is a differen- tiable funcrti . - ~ 3 k. ( )C ) 1 f fer-) -;. . l - 1. 0 2. f \1\ 2 . (-. ?J) Ie ( ¥ ) 1+ (L - .~Ic('») ~~_. .!. ..------------ (e) (5 points) dd Y for Y = ~e-w(t-a), where A, wand a are constants. t
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This note was uploaded on 01/06/2009 for the course MATH 19A taught by Professor Bauerle during the Fall '06 term at UCSC.

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mt2solblue - Math 19A MIDTERM EXAM 2 Version 1 11/21/2008 ,...

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