b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica] i). ii). VI-x² - y² 2=3√1-x² - y² Figure 2 r = sin 0 Figure 1 r = cos 0 [5+5=10marks
b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica] i). ii). VI-x² - y² 2=3√1-x² - y² Figure 2 r = sin 0 Figure 1 r = cos 0 [5+5=10marks
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica
1).
ii).
z = V1-x² - y²
z = 3V1-x² - y²
Figure 2
[5 + 5 = 10marks]
Page 1
JR
c). Using spherical coordinates, find the volume of the solid enclosed by the cone z=√√x² + y² between the
planes z=1 and z=2. [Verify using Mathematica
r = sin 0
Figure 1
r = cos](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e1774c1-61ad-4994-8c09-5dd9e1516363%2F07b7fc22-4c56-4b4a-9aa2-e0ea2013ae4c%2Fpq7u2a_processed.png&w=3840&q=75)
Transcribed Image Text:b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica
1).
ii).
z = V1-x² - y²
z = 3V1-x² - y²
Figure 2
[5 + 5 = 10marks]
Page 1
JR
c). Using spherical coordinates, find the volume of the solid enclosed by the cone z=√√x² + y² between the
planes z=1 and z=2. [Verify using Mathematica
r = sin 0
Figure 1
r = cos
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