1. Find the work done by the force F(x, y, z) = (y² − z²)i +2yzj — x²k on an object moving along the path C given by x(t)=t, y(t)=t², z(t)=t³, for 0 ≤t≤1.

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
Section9.2: Partial Derivatives
Problem 25E
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1. Find the work done by the force
F(x, y, z) = (y² − z²)i +2yzj — x²k
on an object moving along the path C given by x(t)=t, y(t)=t², z(t)=t³, for
0 ≤t≤1.
Transcribed Image Text:1. Find the work done by the force F(x, y, z) = (y² − z²)i +2yzj — x²k on an object moving along the path C given by x(t)=t, y(t)=t², z(t)=t³, for 0 ≤t≤1.
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9780321964038
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