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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 inde±nite integral. ° ± e 0 . 2 x +3 x 2 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 x + C (E) None of these 2. Evaluate the following inde±nite integral. ° ³ 3 x 1 x ´ dx (A) 3 2 x ln | x | + C (B) 3 2 x 3 + 1 x 2 + C (C) 6 x ln | x | + C (D) 3 2 x 3 1+ C (E) None of these 3. Evaluate the following inde±nite integral. ° ± 10 x 3 +4 x 2 3 x +5 ² dx

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4. Evaluate the following indeFnite integral. ° ± e x 6 + e x ² dx 5. Evaluate the following indeFnite integral. ° 6 e 0 . 4 x dx
6. Find the cost function if the marginal cost function is C ° ( x )=6 x 3 and the ±xed cost is \$11. (A) C ( x )=3 x 2 3 x + 11 (B) C ( x x +8 (C) C ( x ) = 11 x (D) C ( x x 2 x (E) None of these 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 (A) p ( x . 01 x 2 0 . 02 x + 208 (B) p ( x . 03 x 0 . 04 + 208 x (C) p ( x . 01 x 3 0 . 02 x 2 + 208 x (D) p ( x . 03 x 2 0 . 04 x + 208 (E) None of these

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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 9. The marginal proFt in dollars on Brie cheese sold at a cheese store is given by P ° ( x )= x (90 x 2 + 60 x ) , where x is the amount of cheese sold, in hundreds of pounds. The “proFt” is \$20 when no cheese is sold. ±ind the proFt from selling 200 pounds of Brie cheese.
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Study Guide 3 F_13 - Math 116 Fall 2013 Study Guide Part 3...

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