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Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z)=i + zj + yk (a) C₁: r₁(t) = cos(t)i + sin(t)j + t²k, Ostst (b) C₂: r₂(t) = (1 - 2t)i + ²tk, 0≤t≤ 1

Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, y, z)=i + zj + yk (a) C₁: r₁(t) = cos(t)i + sin(t)j + t²k, Ostst (b) C₂: r₂(t) = (1 - 2t)i + ²tk, 0≤t≤ 1

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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(₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, Y, z) = i + zj + yk (a) C₁: r₁(t) = cos(t)i + sin(t)j + t²k, 0≤t≤π Evaluate (b) C₂: r₂(t) = (1 - 2t)i + ²tk, 0≤t≤1
Transcribed Image Text:(₁ F. dr along each path. (Hint: If F is conservative, the integration may be easier on an alternative path.) F(x, Y, z) = i + zj + yk (a) C₁: r₁(t) = cos(t)i + sin(t)j + t²k, 0≤t≤π Evaluate (b) C₂: r₂(t) = (1 - 2t)i + ²tk, 0≤t≤1
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