Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13, Problem 6SP
To determine
To check:whether the given
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5. Show that F= (y cos(x),sin(x)+ y) is a conservative vector field and use this to
calculate the work done by F in moving a particle from (7/4,1) to (27/3,3).
6. Let F = (x³ sin y, a* cos y).
COS
(a) Is F a conservative vector field?
(b) If your answer to part (a) was yes, find the potential function f.
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.
Chapter 13 Solutions
Calculus
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