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5. Find the work done by the force field F(x, y) = (x², xy) acting on an object that is moving along in the direction of the vector-value function: r(t) = (3t, 2t), 0≤ t ≤ 1.

5. Find the work done by the force field F(x, y) = (x², xy) acting on an object that is moving along in the direction of the vector-value function: r(t) = (3t, 2t), 0≤ t ≤ 1.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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4. Find the work done by the force field F(x, y) = (2y, x) acting on an object as it moves along the parabola y = 2x² from (3, 18) to (0, 0) is given by: √ 2ydx + xdy. с 5. Find the work done by the force field F(x, y) = (x², xy) acting on an object that is moving along in the direction of the vector-value function: r(t) = (3t, 2t), 0≤ t ≤ 1.
Transcribed Image Text:4. Find the work done by the force field F(x, y) = (2y, x) acting on an object as it moves along the parabola y = 2x² from (3, 18) to (0, 0) is given by: √ 2ydx + xdy. с 5. Find the work done by the force field F(x, y) = (x², xy) acting on an object that is moving along in the direction of the vector-value function: r(t) = (3t, 2t), 0≤ t ≤ 1.
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