Find the hypervolume under h(x, y, z) = 1 over the solid that is x² + y² and the sphere x² + y² + z² = 2. enclosed by the cone z = (4π/3) [√2-1]
Find the hypervolume under h(x, y, z) = 1 over the solid that is x² + y² and the sphere x² + y² + z² = 2. enclosed by the cone z = (4π/3) [√2-1]
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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PLEASE SOLVE THE PROBLEMS IN THE PICTURE AND POST PICTURES OF YOUR WORK, DO NOT TYPE PLEASE!
FOR PROBLEM 17, SOLVE IT BY USING CYLINDRICAL COORDINATES
![Problem 16. Find the hypervolume under f(x, y, z) = z over the solid that lies
within the cylinders x² + 2 = 1 and x² + z² = 16 and between the
planes x - y + z = -1 and x - y + z = -4 where z > 0. 126
Problem 17. Find the hypervolume under h(x, y, z) = 1 over the solid that is
enclosed by the cone z = √x² + y² and the sphere x² + y² + z² = 2.
(4π/3) [√2-1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0655393b-8df3-4633-b13c-e0d6983d2306%2F1926c8ef-99cf-41cc-963b-56ec7df020be%2Ffrcn46_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 16. Find the hypervolume under f(x, y, z) = z over the solid that lies
within the cylinders x² + 2 = 1 and x² + z² = 16 and between the
planes x - y + z = -1 and x - y + z = -4 where z > 0. 126
Problem 17. Find the hypervolume under h(x, y, z) = 1 over the solid that is
enclosed by the cone z = √x² + y² and the sphere x² + y² + z² = 2.
(4π/3) [√2-1]
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