QUESTION 2 a) Evaluate the area of a region that lies inside the circle x² + (y-3)2 = 9, but outside the circle x² + y² = 9.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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QUESTION 2
a) Evaluate the area of a region that lies inside the circle x² + (y-3)² = 9,
but outside the circle x² + y² = 9.
b) A solid G lies in the first octant bounded by y = x, x+z= 1, y = 0
and z = 0 planes with density 6(x, y, z) = 2+x. Find its mass.
c) Use spherical coordinates to evaluate
p1+√1-²
2
zr dz dr de.
Transcribed Image Text:QUESTION 2 a) Evaluate the area of a region that lies inside the circle x² + (y-3)² = 9, but outside the circle x² + y² = 9. b) A solid G lies in the first octant bounded by y = x, x+z= 1, y = 0 and z = 0 planes with density 6(x, y, z) = 2+x. Find its mass. c) Use spherical coordinates to evaluate p1+√1-² 2 zr dz dr de.
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