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2. S, dxdydz , where T: 0

2. S, dxdydz , where T: 0

Calculus: Early Transcendentals
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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Hello!! Please help me evaluate the triple integral in number 2 using SPHERICAL COORDINATES.

Please show the conversion of the rectangular coordinates to spherical coordinates. Please also show the COMPLETE SOLUTION and draw a figure so that I can better understand the problem.

Thank you so much!

Evaluate the following triple integral using spherical coordinates 1. Sl. (x² + y² + z²) dxdydz , where T: 0 < x < V4 – x², 0 < y <2, T x² + y² < z < V4 – x² – y² 2. S[L. dxdydz , where T: 0 < x < 1, 0 < y < v1 – x², dxdydz , where T: 0 < x < 1, 0 < y < V1 JT x² + y² < z< /2 – x² – y² 2.
Transcribed Image Text:Evaluate the following triple integral using spherical coordinates 1. Sl. (x² + y² + z²) dxdydz , where T: 0 < x < V4 – x², 0 < y <2, T x² + y² < z < V4 – x² – y² 2. S[L. dxdydz , where T: 0 < x < 1, 0 < y < v1 – x², dxdydz , where T: 0 < x < 1, 0 < y < V1 JT x² + y² < z< /2 – x² – y² 2.
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