Answered: 5. Consider the force field F = (xy)i +… | bartleby

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 30E

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Question

5. Consider the force field
F = (xy)i + (x −y)j
and C, the straight line from the point (-1,2) to (3,3).
(a) Find a parameterization of the straight line C. Show your process for this. Include the range
of values of the parameter in your final answer.
I
(b) Express the work done by the field F along the line C as a line integral. Then convert that
line integral into a single-variable integral.

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Follow-up Question

(c) Find the work done by the field F by evaluating the single-variable integral found in part
(b) above. Show your steps for this computation.

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