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 5SP
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5. Given the vector field F
(2у — 4г — 2) і + (2 — 2у) 5
(a) Show that the vector field is a gradient vector field. F
(b) Find the potential function for the given vector field.
(c) Evaluate the integral , Fdrwhere L is any curve connecting the points A = (-1, 2) and
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(d) What is the value of fc Fdr where C is a closed curve.
7. Sketch the vector field F = (x − y)î + yĵ. Identify where F₁ vanishes. Identify where
F2 vanishes. Plot a few flow lines.
8. Repeat the previous problem for F = yî + (x − y)î.
Chapter 13 Solutions
Calculus
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