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Find the gradient of each. a) A=x².².2 zcos(p) 3+7² c) C= R.cos(8) sin() b) B=- cartesian X:=1 y:=2 cylindrical spherical r:=3 R:=2 P:=45° Z:=3 Z:=3 8: 30 ° $: 60°

Find the gradient of each. a) A=x².².2 zcos(p) 3+7² c) C= R.cos(8) sin() b) B=- cartesian X:=1 y:=2 cylindrical spherical r:=3 R:=2 P:=45° Z:=3 Z:=3 8: 30 ° $: 60°

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Find the gradient of each. a) A=x².².2² b) B=Zcos(p) 3+7²2² c) C= R.cos(e) .sin(p) cartesian X:=1 cylindrical r:=3 spherical R:=2 y:=2 P:=45° 8: 30 ° Z:=3 Z:=3 0:=60°
Transcribed Image Text:Find the gradient of each. a) A=x².².2² b) B=Zcos(p) 3+7²2² c) C= R.cos(e) .sin(p) cartesian X:=1 cylindrical r:=3 spherical R:=2 y:=2 P:=45° 8: 30 ° Z:=3 Z:=3 0:=60°
Expert Solution
Step 1: Given

Find the gradient of each.

a) A = x2.y2.z3                     Cartesian      x = 1     y = 2      z = 3


b)  B equals fraction numerator z c o s open parentheses phi close parentheses over denominator 3 plus r squared end fraction             Cylindrical     r = 3    φ = 45°   z = 3°


c) C equals R. cos open parentheses theta close parentheses. sin open parentheses phi close parentheses    Spherical         R = 2    θ=30°    φ = 60°








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