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Unformatted text preview: ln(5)ln(3) Question 4 Suppose the proﬁt for a given product is given by P ( x ) = √ 5 + x + x 2 . Find the marginal proﬁt when x = 4 . A) 9 10 B) 4 7 C) 5 8 D) 7 11 E) 3 10 3 Long Answer Section Questions (57) Question 5 (14 points) Using only the deﬁnition of derivative as a limit, calculate f ( x ) where f ( x ) = 3 x 2x2 4 Question 6 (14 points) Suppose that a deposit of 2,000 $ is made into a bank that gives 3% interest. Suppose that interest is compounded 6 times per year. (a) (2 points) Write a formula for A ( t ) , the value of the investment, after t years in this case. (b) (4 points) How much will the investment be worth after 4 years? (c) (8 points) How long will it take for the investment to double? 5 Question 7 (12 points) Use implicit diﬀerentiation to ﬁnd dy dx at the point (2,1) for the equation: x 2 y3 xy 3 =2 xy + 2 6 Space for additional work 7...
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 Fall '10
 blute
 Derivative, Continuous function

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