42. Find the work done by the force F = ei + (lnx)j + 3zk, where force is measured in newtons, in moving an object over the curve r(t) = eti + ( lnt)j + t²k, 1 ≤ t ≤e, where distance is measured in meters.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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42. Find the work done by the force F = e³i + (lnx)j +3zk, where force is measured in
newtons, in moving an object over the curve r(t) = eti + ( lnt)j + t²k, 1 ≤ t ≤e, where
distance is measured in meters.
Transcribed Image Text:42. Find the work done by the force F = e³i + (lnx)j +3zk, where force is measured in newtons, in moving an object over the curve r(t) = eti + ( lnt)j + t²k, 1 ≤ t ≤e, where distance is measured in meters.
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