pracfinFa07

# pracfinFa07 - FINAL EXAM MATH19A Instructor Frank Bauerle...

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FINAL EXAM MATH19A 12/11/2007 Instructor: Frank Bauerle, Ph.D. No books, graphing utilities or notes allowed. Show your work. Show your work. Show your work. Your Name: Your TA: Max Your score Problem 1: 30 Problem 2: 15 Problem 3: 10 Problem 4: 10 Problem 5: 15 Problem 6: 20 Problem 7: 20 Problem 8: 10 Problem 9: 10 Problem 10 20 Problem 11 (EC): 5 TOTAL: 160 Good Luck and have a great winter break!

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1. (30 points) Compute the derivatives :~ of the following functions (no need to simplify): tan x (a) y = e (b) y = Vsinh(wx) where w is a constant. Problem continues on next page ! 1
Problem continued from previous page ! (d) y = In(k 2 + sec 5 + e 2(371")) where k is a function that does not depend on x. (e) y = f i ax + b ~ where f and g are differentiable functions of x, g (x) =1= 0 and a, b, C g cx+ d and d are constants. (f) y = (sin z}"?" where 0 ~ x ~ 71" 2

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2. (15 points) (a) State the Intermediate Value Theorem. (b) Show
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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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pracfinFa07 - FINAL EXAM MATH19A Instructor Frank Bauerle...

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