Unformatted text preview: x 6 ) 7 dx 3. Z 6(2 x 3 + 5 x 5 ) (3 x 4 + 5 x 6 ) dx 4. Z 6 x 3 (2 + 5 x 2 ) e (3 x 4 +5 x 6 ) dx 5. Find the area between f ( x ) = x 2 and the xaxis for x between x = 2 and x = 5 . 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 + 1) 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 3 x ) + ln(1) · (3 x 5 + 4 x 2 + 999) = ln(100) 8. (a) How many years will it take $100 to grow to $1 , 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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