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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3. Find the area of the surface of revolution obtained by rotating the curve about the x-axis
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

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).

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online