Unformatted text preview: x 5 ) 6 dx 3. Z 2 x 2 (3 + 10 x 2 ) (2 x 3 + 4 x 5 ) dx 4. Z (6 x 2 + 20 x 4 ) e (2 x 3 +4 x 5 ) dx 5. Find the area between f ( x ) = 1 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 ) = (3 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(4 e 4 x ) + ln(1) · (3 x 5 + 4 x 2 + 999) = ln(100) 8. (a) How many years will it take $200 to grow to $4 , 000 if compounded quarterly and invested at 10% per year? (b) Repeat if compounded continuously. Give your answers to 4 decimal places. 1...
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This note was uploaded on 09/09/2010 for the course MATH 165 taught by Professor Staff during the Fall '08 term at Ill. Chicago.
 Fall '08
 STAFF
 Math, Calculus

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