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(x²y³, x³y²) Is this vector field Conservative? Select an answer Consider the vector field F If so: = Find a function f so that F = Vƒ f(x,y) = Use your answer to evaluate + K F. dr along the curve C: r(t) = 4 cos(t)i +4 sin(t)j, 0≤t< π

(x²y³, x³y²) Is this vector field Conservative? Select an answer Consider the vector field F If so: = Find a function f so that F = Vƒ f(x,y) = Use your answer to evaluate + K F. dr along the curve C: r(t) = 4 cos(t)i +4 sin(t)j, 0≤t< π

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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Consider the vector field F = (x²y³, x³y²) Is this vector field Conservative? Select an answer If so: Find a function f so that F = Vf f(x,y) = + K Use your answer to evaluate F. dr along the curve C: r(t) = 4 cos(t)i +4 sin(t)j, 0≤t< π 4
Transcribed Image Text:Consider the vector field F = (x²y³, x³y²) Is this vector field Conservative? Select an answer If so: Find a function f so that F = Vf f(x,y) = + K Use your answer to evaluate F. dr along the curve C: r(t) = 4 cos(t)i +4 sin(t)j, 0≤t< π 4
Given F= (5yz, 5xz+ 4,5xy + 2z), find a function f so that F = Vf f(x, y, z) = Use your answer to evaluate + K [F. dr along the curve C: a = ťº², y =t+5, z = 4t −5, 0 < t < 4 с
Transcribed Image Text:Given F= (5yz, 5xz+ 4,5xy + 2z), find a function f so that F = Vf f(x, y, z) = Use your answer to evaluate + K [F. dr along the curve C: a = ťº², y =t+5, z = 4t −5, 0 < t < 4 с
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