408CF09assign9

# 408CF09assign9 - write up his or her own solution. 1. Let R...

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M408C Fall 2008 Assignment 9 Due Thursday, November 12 You should have read and understood sections 7.3*,7.4*, and 7.6 before completing this assignment. You must show suﬃcient work in order to receive full credit for a problem. Please write legibly and label the problems clearly. Circle your answers when appropriate. Multiple papers must be stapled together. Write your name and the time of your discussion section on each page. Feel free to discuss these problems with your classmates. However, each student must
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Unformatted text preview: write up his or her own solution. 1. Let R be the region bounded by the curves y = e x , y = e 2 x , and y = e 4 . (a) Sketch the region and ﬁnd its area. (b) Express the volume of the region obtained by rotating R about the y axis as a deﬁnite integral (do not evaluate). 2. Diﬀerentiate f ( x ) = (ln x ) cos x . 3. Evaluate the integrals below. (a) Z ln2 e 3 x e 3 x + 1 dx . (b) Z 3 2 dx 9 + 4 x 2 (c) Z 1 2 ln3 e x √ 4-e 2 x dx...
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## This note was uploaded on 11/30/2010 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas at Austin.

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