2B_midterm2_samp

# 2B_midterm2_samp - x sec 2 x dx c e 2 x dx 1 e 4 x 5(10...

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Last Name: _______________________ First Name: _______________________ ID #:_______________________ Discussion/TA:_____________________ Sample 2B Midterm Exam # 2

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1. Let f ( x ) x x 2 e x with x>-1/2. a) (3 points) Find f (0) . b) (2 points) Find f 1 (1) . c) (10 points) Find f 1 (1) . 2. (10 points) Find the average value of f ( x ) e sin 1 x 1 x 2 over the interval 0, 2 2 .
3. (10 points each) Find dy dx . No need to simplify final answers. a) y cos 1 x sec 1 x b) y x log 3 x 4. (10 points each) Integrate. a) dx x 1 ln x 2

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b)

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Unformatted text preview: x sec 2 x dx c) e 2 x dx 1 e 4 x 5. (10 points each) Calculate the following limits. a) lim x 3 x 1 x tan 1 x b) lim x sin x x 6. (5 points) Mark each statement as true or false. If a statement is true, explain why. If a statement is false, explain why or give an example that disproves the statement. a) tan 1 ( 1) 7 4 True False b) d dx ln5 1 5 True False c) dx x 2 18 2ln 3 True False...
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## This note was uploaded on 11/21/2010 for the course MATH CALCU Math 2B taught by Professor Alessandrapantano during the Fall '10 term at UC Irvine.

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2B_midterm2_samp - x sec 2 x dx c e 2 x dx 1 e 4 x 5(10...

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