8. The vector field F(x, y, z) = (2xz + y²)i + 2xyj + (x² + 3z²)k is conservative. Find a potential function f for Fand use it with the Fundamental Theorem for Line Integrals to evaluate f F dř, where C is any piecewise-smooth curve from (0, 1,-1) to (1,2,1). a) 3 b) e c) 1 d) 7 e) None of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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8. The vector field F(x, y, z) = (2xz + y²)i + 2xyj + (x² + 3z²)k is conservative. Find a potential
function f for Fand use it with the Fundamental Theorem for Line Integrals to evaluate f F dř,
where C is any piecewise-smooth curve from (0, 1,-1) to (1, 2, 1).
a) 3
b) e
c) 1
d) 7
e) None of the above
Transcribed Image Text:8. The vector field F(x, y, z) = (2xz + y²)i + 2xyj + (x² + 3z²)k is conservative. Find a potential function f for Fand use it with the Fundamental Theorem for Line Integrals to evaluate f F dř, where C is any piecewise-smooth curve from (0, 1,-1) to (1, 2, 1). a) 3 b) e c) 1 d) 7 e) None of the above
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