Find the gradient of U = 2p(z² + 1) cos p. 2 cos ф (2?)ар + 2 sin ф (z?)aф + 4pz cos ф a, 2 cos ф (z + 1)а, + 2 sin ф (z + 1)aф + 4pz cos ф а, 2 cos ф (z2 + 1)а, + 2 sin ф (7? +1)aф + 4pz cos фа, 2 sin ф (z? + 1)ар + 2 сos ф (z2 + 1)аф + 4pz cos фа,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Find the gradient of U = 2p(z² + 1) cos p.
2 cos ф (2?)а, +2 sin ф (z?)aф + 4pz cos ф a,
2 cos ф (z + 1)а, + 2 sin ф (z + 1)aф + 4pz cos ф аz
2 cos ф (z? + 1)a, + 2 sin ф (z? + 1)aф + 4pz cos ф а,
2 sin ф (z? + 1)a, + 2 cos ф (z? + 1)aф + 4pz cos ф аz
Transcribed Image Text:Find the gradient of U = 2p(z² + 1) cos p. 2 cos ф (2?)а, +2 sin ф (z?)aф + 4pz cos ф a, 2 cos ф (z + 1)а, + 2 sin ф (z + 1)aф + 4pz cos ф аz 2 cos ф (z? + 1)a, + 2 sin ф (z? + 1)aф + 4pz cos ф а, 2 sin ф (z? + 1)a, + 2 cos ф (z? + 1)aф + 4pz cos ф аz
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