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10. Find a function f such that F = Vf and evaluate ScFdr along the given curve C • F(x, y, z) = (y²z+2xz²)i+2xyzj+(xy² + 2x²z)k C:r(t) = √ti + (t + 1)j + t²k, 0≤t≤1

10. Find a function f such that F = Vf and evaluate ScFdr along the given curve C • F(x, y, z) = (y²z+2xz²)i+2xyzj+(xy² + 2x²z)k C:r(t) = √ti + (t + 1)j + t²k, 0≤t≤1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 28E
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10. Find a function f such that F= Vf and evaluate fFdr along the given curve C • F(x, y, z) = (y²z+2xz²)i+2xyzj+(xy² + 2x²z)k C:r(t) = √ti+(t + 1)j + t²k, 0≤t≤l
Transcribed Image Text:10. Find a function f such that F= Vf and evaluate fFdr along the given curve C • F(x, y, z) = (y²z+2xz²)i+2xyzj+(xy² + 2x²z)k C:r(t) = √ti+(t + 1)j + t²k, 0≤t≤l
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