Unformatted text preview: 7 ) 8 dx 3. Z 2 x 4 (10 + 21 x 2 ) (4 x 5 + 6 x 7 ) dx 4. Z (20 x 4 + 42 x 6 ) e (4 x 5 +6 x 7 ) dx 5. Find the area between f ( x ) = e x and the xaxis for x between x = 1 and x = 4 . Show your work including your graph, diﬀerential area and limits. Give your answer to 4 decimal places. 6. Use logarithmic diﬀerentiation to ﬁnd f ( x ) at x = 1 if f ( x ) = (2 x + 5) x . Give your answer to 4 decimal places. 7. Solve the following equation for x. Give your answer to 4 decimal places. Show your work. ln(5 e 2 x ) + ln(2 e 5 x ) + ln(1) · (3 x 5 + 4 x 2 + 999) = ln(100) 8. (a) How many years will it take $300 to grow to $40 , 000 if compounded quarterly and invested at 10% per year? (b) Repeat if compounded continuously. Give your answer to 4 decimal places. 1...
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 Fall '08
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 Math, Calculus, Derivative, 10%, Lowman, $40, $300, exam booklet

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