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Let F = (e", sin“ x, cos³ x). Calculate curl(F).

Let F = (e", sin“ x, cos³ x). Calculate curl(F).

Calculus: Early Transcendentals
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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Show that D(u, v) = (4u + 7, u – v, 7u + v) parametrizes the plane 2x – y – z = 14. Then: (a) Calculate T, , T,, and n(u, v). (b) Find the area of S = ¤(D), where D = (u, v) :0 < u < 4,0 <v<9. (c) Express f(x, y, z) = yz in terms of u and v and evaluate s f(x, y, z) dS. (a) Tu = <4,1,7> , T, <0,-1,1> n(u, v) <8,-4,-4> (b) Area(S) = 96(2) (c) , f(x, y, z) dS = -6432(2)
Transcribed Image Text:Show that D(u, v) = (4u + 7, u – v, 7u + v) parametrizes the plane 2x – y – z = 14. Then: (a) Calculate T, , T,, and n(u, v). (b) Find the area of S = ¤(D), where D = (u, v) :0 < u < 4,0 <v<9. (c) Express f(x, y, z) = yz in terms of u and v and evaluate s f(x, y, z) dS. (a) Tu = <4,1,7> , T, <0,-1,1> n(u, v) <8,-4,-4> (b) Area(S) = 96(2) (c) , f(x, y, z) dS = -6432(2)
Let F = (e", sin“ x, cos³ x). Calculate curl(F). curl(F) = <0,3cos^2(x)sin(x), 4cos(
Transcribed Image Text:Let F = (e", sin“ x, cos³ x). Calculate curl(F). curl(F) = <0,3cos^2(x)sin(x), 4cos(
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