M(x,y,z) d.

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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In Spherical Coordinates:
AZ
**...
M(x,y,z)
y
Figure 1.
Using the formula for the change of variables in triple integrals
II| f (x, y, 2)dxdydz= ||| f (4,4,x) |I (u, v, w)|dudvdw.
U'
I (u, v, w)| means the absolute value of the Jacobian.
where
Derive the triple integral in Spherical coordinates using the "change
of variables" formula (you don’t have to INTEGRATE!).
Transcribed Image Text:In Spherical Coordinates: AZ **... M(x,y,z) y Figure 1. Using the formula for the change of variables in triple integrals II| f (x, y, 2)dxdydz= ||| f (4,4,x) |I (u, v, w)|dudvdw. U' I (u, v, w)| means the absolute value of the Jacobian. where Derive the triple integral in Spherical coordinates using the "change of variables" formula (you don’t have to INTEGRATE!).
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