quiz5ws2009

# quiz5ws2009 - a). y = x 3 , ≤ x ≤ 2 b). 9 x = y 2 + 18...

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Quiz 5 Instructor: Stephan Spencer 6 March, 2009 Student Name: 1. Determine whether the following Integrals converge. For (a) and (e), if they converge, ﬁnd the value. a). Z 0 1 x 2 + 1 dx b). Z 1 x 3 x 4 - 2 ds c). Z 1 3 x 2 x 4 + 3 x 2 + 2 dx d). Z 2 0 1 1 - x 2 dx e). Z 1 - 1 - x ln | x | dx f). Z 2 1 ln ( x ) dx g). Z -∞ 1 e x + e - x dx h). Z 1 0 e 1 x x dx 2. Determine the arc length of the following curves a). y = x 5 6 + 1 10 x 3 , 1 x 2 b). y = ln (cos x ) , 0 x π/ 3 c). x = 1 3 y ( y - 3) , 1 y 9 d). x = ln (sec y ) . 0 y π/ 4 1

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3. Find the area of the surface of revolution obtained by rotating the curve about the x-axis
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Unformatted text preview: a). y = x 3 , ≤ x ≤ 2 b). 9 x = y 2 + 18 , 2 ≤ x ≤ 6 c). y = sin ( πx ) , ≤ x ≤ 1 d). x = 1 3 ( y 2 + 2) 3 / 2 , 1 2 ≤ x ≤ 1 4. Find the area of the surface of revolution obtained by rotating the curve about the y-axis a). x = y 3 , 1 ≤ y ≤ 2 b). x = p 4-y 2 , ≤ y ≤ 2 c). y = 1-x 2 , ≤ x ≤ 1 d). y = x 3 , ≤ y ≤ 1 2...
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## This note was uploaded on 11/29/2010 for the course MATH 1700 taught by Professor Staff during the Spring '08 term at Missouri (Mizzou).

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quiz5ws2009 - a). y = x 3 , ≤ x ≤ 2 b). 9 x = y 2 + 18...

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