104S10Mnoans - Math 104 Make-up Final Exam — Spring 2010...

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Unformatted text preview: Math 104 Make-up Final Exam — Spring 2010 1. Compute the total area bounded by the curves y = x and y = x 3 . (a) 3 / 4 (b) 2 / 3 (c) 1 / 2 (d) 1 / 3 (e) 1 / 5 (f) 0 2. Consider the the region bounded by the curve y = √ x and the lines x = 1 and y = 0. Find the volume of the solid obtained by rotating this region about the y-axis. (a) 3 π/ 4 (b) π/ 4 (c) π/ 3 (d) π/ 5 (e) 3 π/ 5 (f) 4 π/ 5 3. Find the volume obtained by rotating the solid bounded by the curves y = x 2 and y = x 3 about the x-axis. (a) π/ 7 (b) 2 π/ 7 (c) π/ 5 (d) 4 π/ 5 (e) 2 π/ 35 (f) 4 π/ 35 4. Evaluate integraldisplay 1 ( π sin πx- 1 x 2 + 1 ) dx . (a) 2- π 4 (b) 13 1 4 + ln 4 (c) e 3- 2 1 4 (d) cos 4 3- ln 2 (e) 172 1 2- √ 3 (f) 1 . 2146 5. Evaluate integraldisplay e 1 ln x x 2 dx . (a) e- e- 2 (b) 1- 2 e (c) ln e 2 e 4 (d) 1- 3 e (e) √ ln2- 1 (f) 2 e 6. Evaluate integraldisplay 1 dx √ 4- x 2 ....
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104S10Mnoans - Math 104 Make-up Final Exam — Spring 2010...

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