3. Let v(x, y) = (2x + y, x + 2y – 2). - a. Show that u is conservative by finding its scalar function u(x, y) and showing that Vu = v b. Compute the divergence of v c. Compute the curl of v. d. Let C: 7 = (e“, sin(e“)) be smooth curve where t e [0, 1]. Find v · dr

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Let v(x, y) = (2x + y, x + 2y – 2).
a. Show that u is conservative by finding its scalar function u(x, y) and showing that Vu = v
b. Compute the divergence of v
c. Compute the curl of v.
d. Let C : 7 = (e, sin(e")) be smooth curve where t e [0, 1]. Find
So
V • dr
Transcribed Image Text:3. Let v(x, y) = (2x + y, x + 2y – 2). a. Show that u is conservative by finding its scalar function u(x, y) and showing that Vu = v b. Compute the divergence of v c. Compute the curl of v. d. Let C : 7 = (e, sin(e")) be smooth curve where t e [0, 1]. Find So V • dr
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