2. Evaluate the triple integral •V2x-x² zVx2 + y? dz dy dx . Sketch the volume of integration. Hint: note upper integration limit for y and presence of "x2 + y2" in the integrand, so choose cylindrical coordinate system.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
Question
2. Evaluate the triple integral
2
/2x-x²
1
zVx2 + y? dz dy dx .
Sketch the volume of integration. Hint: note upper integration limit for y and presence
of "x² +y² " in the integrand, so choose cylindrical coordinate system.
Transcribed Image Text:2. Evaluate the triple integral 2 /2x-x² 1 zVx2 + y? dz dy dx . Sketch the volume of integration. Hint: note upper integration limit for y and presence of "x² +y² " in the integrand, so choose cylindrical coordinate system.
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