2.5.2 (a) From the results of Exercise 2.5.1, calculate the partial derivatives of ř. 6, and with respect to r, e, and y. (b) With V given by 30 rsine ap (greatest space rate of change), use the results of part (a) to calculate V-V. This is an alternate derivation of the Laplacian. Note. The derivatives of the left-hand V operate on the unit vectors of the right-hand V before the unit vectors are dotted together.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2.5.2
(a)
(b)
From the results of Exercise 2.5.1, calculate the partial derivatives of f. 6, and
with respect to r, e, and .
With V given by
1a
rsine ap
är
(greatest space rate of change), use the results of part (a) to calculate V-Vy. This
is an alternate derivation of the Laplacian.
Note. The derivatives of the left-hand V operate on the unit vectors of the right-hand V
before the unit vectors are dotted together.
Transcribed Image Text:2.5.2 (a) (b) From the results of Exercise 2.5.1, calculate the partial derivatives of f. 6, and with respect to r, e, and . With V given by 1a rsine ap är (greatest space rate of change), use the results of part (a) to calculate V-Vy. This is an alternate derivation of the Laplacian. Note. The derivatives of the left-hand V operate on the unit vectors of the right-hand V before the unit vectors are dotted together.
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