6. Evaluate the line integral fF.dr, where F(x, y, z) = xzi+2zj+yk and C is the curve given by the vector function r(t) = 3ti-t³j+t²k where 0≤t≤1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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6
6.
Evaluate the line integral [F.dr, where F(x, y, z) = xzi+2zj+yk and C is the
curve given by the vector function r(t) = 3ti-t³j+t²k where 0≤t≤1.
Transcribed Image Text:6. Evaluate the line integral [F.dr, where F(x, y, z) = xzi+2zj+yk and C is the curve given by the vector function r(t) = 3ti-t³j+t²k where 0≤t≤1.
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