1. Consider the curve C = C₁ UC2, where C₁ is the line segment from (0, 1.1) to (1,1,0) and C₂ is the curve parametrized by R(t) = (e²t + t²,et,t), te [0.1]. (a) Find the work done by (b) in moving a particle along C. Let F(r.y.) (e-y. 2-², y³) F(x, y, z) = 2yz 3(x + y²) \3(x + y²) ³ Use the Fundamental Theorem of Line Integrals to evaluate [ F F.dR. + 2. + tan²¹2₁ √√x + y² +₁ +²₂² +²). -1 Y x

1. Consider the curve C = C₁ UC2, where C₁ is the line segment from (0, 1.1) to (1,1,0) and C₂ is the curve parametrized by R(t) = (e²t + t²,et,t), te [0.1]. (a) Find the work done by (b) in moving a particle along C. Let F(r.y.) (e-y. 2-², y³) F(x, y, z) = 2yz 3(x + y²) \3(x + y²) ³ Use the Fundamental Theorem of Line Integrals to evaluate [ F F.dR. + 2. + tan²¹2₁ √√x + y² +₁ +²₂² +²). -1 Y x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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