ams161 spring 2007 final

ams161 spring 2007 final - AMS 161 Final Exam 3 Prof....

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AMS 161 Final Exam Prof. Tucker Spring 2007 1. Do three of the following problems: a) 0 ± ± [3x + sin(4 x )] dx , c) ± x 2 sin(2 x 3 ) e cos2 x 3 dx, c) ± 2 x /( x -4) dx , d) ± (x + 3)sqrt(x – 2) dx , 2. Do two of the following problems: a) ± x e 2x dx , b) ± x 2 ln(2 x ) dx , c) ± x 7 sin(3 x 4 ) dx 3. Evaluate two of the following (explain answers): a) 0 ± 3 1/( x +1) 2 dx , b) 0 ± oo t 5 e -t 6 dt , c) 1 ± oo 1/(x-2) 3/2 dx . 4. Consider the integral from 0 to 2 of the function sketched at the right. List the values in INCREASING ORDER of the integral estimates given by the LH = Left-Hand Rule, RH = Right-Hand Rule, MP = Mid-Point Rule, and TP =Trapezoidal Rule in increasing order. Also indicate the position in this ordering of the true integral. 5. Do one of the following problems (JUST SET UP THE INTEGRAL): a) Set up an integral for the volume of revolution around the y -axis (NOT x -axis) of y = 2 x 4 from y =0 to y =2. b) Set up an integral for the volume resulting from revolving the area between the curves y = 2
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This note was uploaded on 06/29/2008 for the course AMS 161 taught by Professor Tucker during the Spring '08 term at SUNY Stony Brook.

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