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Compute the work done by a force F(x, y) = V(x²+2x+y²) on an object displeed along a curve oining point (0,0) to point (2, 3). i) Compute the work done by F(x, y) = (2xy, z²) along r(t) = (2t + 1,3t¹- t² + 4), 0≤ t ≤ 2.

Compute the work done by a force F(x, y) = V(x²+2x+y²) on an object displeed along a curve oining point (0,0) to point (2, 3). i) Compute the work done by F(x, y) = (2xy, z²) along r(t) = (2t + 1,3t¹- t² + 4), 0≤ t ≤ 2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Use the fundamental theorem of calculus for path integrals to solve the following:

i) Compute the work done by a force F(x, y) = V(x²+2x+y²) on an object displeed along a curve joining point (0,0) to point (2,3). ii) Compute the work done by F(x, y) = (2xy, x²) along r(t) = (2t + 1,3t¹ — t² + 4), 0 ≤ t ≤ 2.
Transcribed Image Text:i) Compute the work done by a force F(x, y) = V(x²+2x+y²) on an object displeed along a curve joining point (0,0) to point (2,3). ii) Compute the work done by F(x, y) = (2xy, x²) along r(t) = (2t + 1,3t¹ — t² + 4), 0 ≤ t ≤ 2.
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