Consider the vector field F = (6x + 3y)i + (5x + 6y)j. Is this vector field conservative? Not Conservative ✓ If so, find a function f so that F=Vf. If not, enter "0" in the answer boxes below. f(x, y) Use your answer to evaluate [ F · dr : +K 1.² F. dr along the curve C parameterized by r(t) = t²i+t³j, 0≤t≤1.
Consider the vector field F = (6x + 3y)i + (5x + 6y)j. Is this vector field conservative? Not Conservative ✓ If so, find a function f so that F=Vf. If not, enter "0" in the answer boxes below. f(x, y) Use your answer to evaluate [ F · dr : +K 1.² F. dr along the curve C parameterized by r(t) = t²i+t³j, 0≤t≤1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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