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Workout Problem Question 1 2 a. [ Compute the integral I = S Se S" czdzdydx b. [ write the equation 4x+4y² +4z2 -8 = 0 in spherical coordinates с. What does the equation in part (b) represents ?

Workout Problem Question 1 2 a. [ Compute the integral I = S Se S" czdzdydx b. [ write the equation 4x+4y² +4z2 -8 = 0 in spherical coordinates с. What does the equation in part (b) represents ?

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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Workout Problem Question 1 a. [ Compute the integral I = Le azdzdydr b. [ write the equation 4a+ 4y? +4z2 -8 = 0 in spherical coordinates |3| c. What does the equation in part (b) represents ? Question 2| a. [ Find the spherical coordinates equation of the sphere 2² +y? + (z – 1)² = 1. 1Evaluate I = lle (3e x2 + y? + z²)) dV Where Bis the region in the +y? + z? = 4 b. first octant enclosed in the sphere of equation x с. [ above the xy-plane of the sphere a +y + z² – 4= 0 and 4x2 + 4y2 +4z - 4 = 0. Compute the volume of the region E enclosed by the hemi-sphere located
Transcribed Image Text:Workout Problem Question 1 a. [ Compute the integral I = Le azdzdydr b. [ write the equation 4a+ 4y? +4z2 -8 = 0 in spherical coordinates |3| c. What does the equation in part (b) represents ? Question 2| a. [ Find the spherical coordinates equation of the sphere 2² +y? + (z – 1)² = 1. 1Evaluate I = lle (3e x2 + y? + z²)) dV Where Bis the region in the +y? + z? = 4 b. first octant enclosed in the sphere of equation x с. [ above the xy-plane of the sphere a +y + z² – 4= 0 and 4x2 + 4y2 +4z - 4 = 0. Compute the volume of the region E enclosed by the hemi-sphere located
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