3. A particular scalar field a is given by a. a=20 ex sin(πy/3) in Cartesian b. a=10psin() in cylindrical c. a=30cos(e)/r² in spherical find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°) for spherical coordinate systems.
3. A particular scalar field a is given by a. a=20 ex sin(πy/3) in Cartesian b. a=10psin() in cylindrical c. a=30cos(e)/r² in spherical find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°) for spherical coordinate systems.
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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Transcribed Image Text:3. A particular scalar field a is given by
a. a=20 ex sin(πy/3) in Cartesian
b. a=10psin() in cylindrical
c. a=30cos(e)/r² in spherical
find its Laplacian at P(-2,4,-6) for Cartesian, P(√2,π/2,7) for cylindrical and P(5, 30°, 60°)
for spherical coordinate systems.
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