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Study Guide 3 F_13

Study Guide 3 F_13 - Math 116 Fall 2013 Study Guide Part 3...

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Math 116 Fall 2013 Study Guide - Part 3 1. Evaluate the following indefinite integral.
e 0 . 2 x + 3 x 2
dx (A) 5 e 0 . 2 x + x 3 + C (B) 0 . 2 e 0 . 2 x + x 3 + C (C) 5 e 0 . 2 x + 6 x + C (D) 0 . 2 e 0 . 2 x + 6 x + C (E) None of these 2. Evaluate the following indefinite integral. 3 x 1 x
dx x ln | x | + C 3. Evaluate the following indefinite integral.
10 x 3 + 4 x 2 3 x + 5
dx
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4. Evaluate the following indefinite integral. e x 6 + e x
dx 5. Evaluate the following indefinite integral.
6 e 0 . 4 x dx
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6. Find the cost function if the marginal cost function is C
( x ) = 6 x 3 and the fixed cost is $11. 7. Find the demand function for the marginal revenue function. Recall that if no items are sold, the revenue is 0. R
( x ) = 0 . 03 x 2 0 . 04 x + 208
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8. The approximate rate of change in the number (in billions) of monthly text messages is given by the equation f
( t ) = 4 . 2 t 7 . 4 where t represents the number of years since 2000. In 2000 ( t = 0) there were approximately 9.2 billion monthly text messages. How many monthly text messages were there in 2005. (A) less than 10 billion (B) between 10 billion and 20 billion (C) between 20 billion and 30 billion (D) between 30 billion and 40 billion (E) more than 40 billion
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