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43. 2+√4-x²-y² BS 2²/ -2 -√√4-x 2-√4-x²-y2 (x² + y² + z²)³/2 dz dy dx

43. 2+√4-x²-y² BS 2²/ -2 -√√4-x 2-√4-x²-y2 (x² + y² + z²)³/2 dz dy dx

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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43

final answer 4096pi/ 21

 

CAS 40. (a) 41. 41-43 Evaluate the integral by changing to spherical coordinates. Lo 42. 43. (b) Use a computer to draw the torus. a La 1-x² √√2-x²-y² 2 √√x² + y² 2 √a²-y² -a -√a²-y² √4x² J-√√4x² -2 J √a²-x²-y² Sva osed by the torus p = sin . xy dz dy dx -√a²-x²-y² 2+√√4-x²-y² √2-√√4x²-y² (x²z + y²z+ z³) dz dx dy (x² + y² + z²)³/2 dz dy dx
Transcribed Image Text:CAS 40. (a) 41. 41-43 Evaluate the integral by changing to spherical coordinates. Lo 42. 43. (b) Use a computer to draw the torus. a La 1-x² √√2-x²-y² 2 √√x² + y² 2 √a²-y² -a -√a²-y² √4x² J-√√4x² -2 J √a²-x²-y² Sva osed by the torus p = sin . xy dz dy dx -√a²-x²-y² 2+√√4-x²-y² √2-√√4x²-y² (x²z + y²z+ z³) dz dx dy (x² + y² + z²)³/2 dz dy dx
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