coordinates with dV= r dz d 4-(x2 + y2). Draw the solid

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 ≤
z≤ 1,0 ≤ y ≤ √1-a², 0≤x≤ √√√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 x² + y² + ² = 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 ≤ z≤ 1,0 ≤ y ≤ √1-a², 0≤x≤ √√√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 x² + y² + ² = using spherical coordinates. Draw the solid B
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