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In spherical coordinates, (r, 0, ø), the gradient takes the form 1df 1 ðf Vf (r, 0, ø) : -î + -0 + dr r d0 r sin 0 dø Determine the gradient of the following functions (a) ƒ (r) = r. %3D (b) ƒ (r) = Aº". (c) ƒ (r,0, ø) = ACos(270) %3D

In spherical coordinates, (r, 0, ø), the gradient takes the form 1df 1 ðf Vf (r, 0, ø) : -î + -0 + dr r d0 r sin 0 dø Determine the gradient of the following functions (a) ƒ (r) = r. %3D (b) ƒ (r) = Aº". (c) ƒ (r,0, ø) = ACos(270) %3D

Advanced Engineering Mathematics
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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2. In spherical coordinates, (r, 0, ø), the gradient takes the form 1 df φ. r sin 0 dø 1ðf Vf (r, 0, 4) se -î + dr r d0 Determine the gradient of the following functions (a) f (r) = r. (b) ƒ (r) = Aº_" . (c) ƒ (r, 0, 4) = Ac©os(2m0)
Transcribed Image Text:2. In spherical coordinates, (r, 0, ø), the gradient takes the form 1 df φ. r sin 0 dø 1ðf Vf (r, 0, 4) se -î + dr r d0 Determine the gradient of the following functions (a) f (r) = r. (b) ƒ (r) = Aº_" . (c) ƒ (r, 0, 4) = Ac©os(2m0)
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