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the following you should compute fe G. dr for G= (1+r)ei + (re*+*+2:)j - 2yk. and the curve C with parametrization r(t) = (1-t)e'i+tj+2tk, 0≤t≤1. A direct computation is, however, too difficult. Instead, proceed along the following steps: (a) Find a potential for F= (1 + r)e²+i+ (re** + 2y)j - 2:k. (b) Compute H = G-F explicitly, and compute fo H. dr using the given parame- trization of C. (c) Use (a) and (b) to compute fe G. dr.

the following you should compute fe G. dr for G= (1+r)ei + (re*+*+2:)j - 2yk. and the curve C with parametrization r(t) = (1-t)e'i+tj+2tk, 0≤t≤1. A direct computation is, however, too difficult. Instead, proceed along the following steps: (a) Find a potential for F= (1 + r)e²+i+ (re** + 2y)j - 2:k. (b) Compute H = G-F explicitly, and compute fo H. dr using the given parame- trization of C. (c) Use (a) and (b) to compute fe G. dr.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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2. In the following you should compute fe G. dr for G = (1 + x)e²+¹į + (xe*** +2=)j – 2yk, and the curve C with parametrization r(t) = (1 t)e'i+tj+2tk. 0≤t≤1. A direct computation is, however, too difficult. Instead, proceed along the following steps: (a) Find a potential for F= (1 + r)e+i+ (xe*** + 2y)j-2:k. (b) Compute H = G-F explicitly, and compute fo H. dr using the given parame- trization of C. (c) Use (a) and (b) to compute G. dr.
Transcribed Image Text:2. In the following you should compute fe G. dr for G = (1 + x)e²+¹į + (xe*** +2=)j – 2yk, and the curve C with parametrization r(t) = (1 t)e'i+tj+2tk. 0≤t≤1. A direct computation is, however, too difficult. Instead, proceed along the following steps: (a) Find a potential for F= (1 + r)e+i+ (xe*** + 2y)j-2:k. (b) Compute H = G-F explicitly, and compute fo H. dr using the given parame- trization of C. (c) Use (a) and (b) to compute G. dr.
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