6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: 0≤ a≤1, 0≤ y ≤ √1-x², 0≤z≤ √√4-(x2 + y2). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √3x2 + 3y2 and below the sphere a² + y² +2²= z using spherical coordinates. Draw the solid B

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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6.
Set up the triple integral that will give the following:
(a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0≤
≤1, 0≤ y ≤ √1-x², 0≤z≤ √√4-(x2 + y2). Draw the solid R.
(b) the volume of the solid B that lies above the cone z = √3r² + 3y² and below the
sphere x² + y² + ² = z using spherical coordinates. Draw the solid B
Transcribed Image Text:6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0≤ ≤1, 0≤ y ≤ √1-x², 0≤z≤ √√4-(x2 + y2). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √3r² + 3y² and below the sphere x² + y² + ² = z using spherical coordinates. Draw the solid B
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