4. Find f such that F = Vf and use it to evaluate SF. dr. (a) F(x, y) = (3 + 2xy²) î+ 2x²y ĵ, C is the arc of the hyperbola y = from (1, 1) to (4,1). (b) F(x, y) = yzez î+eªz ĵ + xye™z Ê, C: r(t) = (t² + 1) î+ (t² − 1) ĵ + (t² −2t) k, 0≤ t ≤ 2.
4. Find f such that F = Vf and use it to evaluate SF. dr. (a) F(x, y) = (3 + 2xy²) î+ 2x²y ĵ, C is the arc of the hyperbola y = from (1, 1) to (4,1). (b) F(x, y) = yzez î+eªz ĵ + xye™z Ê, C: r(t) = (t² + 1) î+ (t² − 1) ĵ + (t² −2t) k, 0≤ t ≤ 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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