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Consider the 3-dimensional region D defined by x+ y+ (z- 1) <1 and Qstion 1. (a) x2 + y? + z2 >1. Describe the region of D in spherical coordinates (p, , 0) and find its volume. (b) The equation 2x+y A(a – y)² + < 1 6. defines a region D on the plane. Find (x+1)dA.

Consider the 3-dimensional region D defined by x+ y+ (z- 1) <1 and Qstion 1. (a) x2 + y? + z2 >1. Describe the region of D in spherical coordinates (p, , 0) and find its volume. (b) The equation 2x+y A(a – y)² + < 1 6. defines a region D on the plane. Find (x+1)dA.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the 3-dimensional region D defined by x2 +y2 + (z - 1)2 < 1 and Qurestion 1. (a) x2 + y? + z2 >T. Describe the region of D in spherical coordinates (p, o,0) and find its volume. (b) The equation (*): 2x + Y A( - y)2 + 6. < 1 defines a region D on the plane. Find (x+ 1)dA.
Transcribed Image Text:Consider the 3-dimensional region D defined by x2 +y2 + (z - 1)2 < 1 and Qurestion 1. (a) x2 + y? + z2 >T. Describe the region of D in spherical coordinates (p, o,0) and find its volume. (b) The equation (*): 2x + Y A( - y)2 + 6. < 1 defines a region D on the plane. Find (x+ 1)dA.
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