6) Find the work done by the force field F =-4xyi + 8yj +2k as the point of application moves from the origin 0 (0,0,0) to the point A (1,1,1) a) along the straight line OA b) along the curve x=t, y = t2, and z = t³, 0 ≤t≤1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 11P
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6) Find the work done by the force field F =-4xyi + 8yj +2k as the point of application moves
from the origin 0 (0,0,0) to the point A (1,1,1)
a) along the straight line OA
b) along the curve x=t, y = t2, and z = t³, 0 ≤t≤1
Transcribed Image Text:6) Find the work done by the force field F =-4xyi + 8yj +2k as the point of application moves from the origin 0 (0,0,0) to the point A (1,1,1) a) along the straight line OA b) along the curve x=t, y = t2, and z = t³, 0 ≤t≤1
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