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31B(F07)_PracticeMidterm1

# 31B(F07)_PracticeMidterm1 - (a How much money will you have...

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MATH 31B - Lecture 4 - Fall 2007 Practice Midterm 1 - October 22, 2007 This is a closed-book and closed-note examination. Calculators are not allowed. Please show all your work. Use only the paper provided. You may write on the back if you need more space, but clearly indicate this on the front. 1

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2 1. Let f ( x ) = 3 + x 2 + tan( πx 2 ) , - 1 < x < 1. Find the value of the derivative ( f - 1 ) 0 (3). 2. You have just placed A 0 dollars in a bank account that pays 4% interest compounded continuously.

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Unformatted text preview: (a) How much money will you have in the account in 5 years? (b) How long will it take for your money to triple? 3 3. Find the derivative of the function f ( x ) = (ln x ) x . 4. Evaluate the limit lim x → 1 1-x + ln x 1 + cos( πx ) 4 5. Evaluate the integral Z e 2 t sin(3 t ) dt 6. Evaluate the integral Z π/ 3 tan 5 x sec 4 xdx 5 7. Evaluate the integral Z √ 4-x 2 x 2 dx...
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31B(F07)_PracticeMidterm1 - (a How much money will you have...

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