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now that the differential form in the integral is exact. Then evaluate the integral. (2,0,3) (1,0,0) sin y cos x dx + cos y sin x dy + 8 dz ...

now that the differential form in the integral is exact. Then evaluate the integral. (2,0,3) (1,0,0) sin y cos x dx + cos y sin x dy + 8 dz ...

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Show that the differential form in the integral is exact. Then evaluate the integral. (2,0,3) (1,0,0) sin y cos x dx + cos y sin x dy + 8 dz Compute the partial derivatives. ƏN dz Compute the partial derivatives. ƏN ƏM dz Compute the partial derivatives. ƏM Compute the integral. (2,0,3) sin y cos x dx + cos y sin x dy + 8 dz = | (1,0,0) (Type an exact answer.)
Transcribed Image Text:Show that the differential form in the integral is exact. Then evaluate the integral. (2,0,3) (1,0,0) sin y cos x dx + cos y sin x dy + 8 dz Compute the partial derivatives. ƏN dz Compute the partial derivatives. ƏN ƏM dz Compute the partial derivatives. ƏM Compute the integral. (2,0,3) sin y cos x dx + cos y sin x dy + 8 dz = | (1,0,0) (Type an exact answer.)
Find a potential function f for the field F = ey + 4z (4 i +4x j + 16x k). A potential function is f(x,y,z) =.
Transcribed Image Text:Find a potential function f for the field F = ey + 4z (4 i +4x j + 16x k). A potential function is f(x,y,z) =.
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