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Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)

Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)

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 27E
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Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)
Transcribed Image Text:Find the work done by F over the curve in the direction of increasing t. F = 4zi + 4xj + 4yk, r(t) = (sin t)i + (cos t)j + tk, 0≤t≤ 2 The amount of work done is (Type an exact answer, using as needed.)
Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to (-1,1). The amount of work done is (Type an integer or a simplified fraction.)
Transcribed Image Text:Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to (-1,1). The amount of work done is (Type an integer or a simplified fraction.)
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