Use the result in Exercise 34(b). In each part, find the work done by the three-dimensional inverse-square filed F r = 1 r 3 r on a particle that moves along the curve C . (a) C is the line segment from P 1 , 1 , 2 to Q 3 , 2 , 1 . (b) C is the curve r t = 2 t 2 + 1 i + t 3 + 1 j + 2 − t k where 0 ≤ t ≤ 1. (c) C is the circle in the xy -plane of radius 1 centered at (2, 0, 0) traversed counterclockwise.
Use the result in Exercise 34(b). In each part, find the work done by the three-dimensional inverse-square filed F r = 1 r 3 r on a particle that moves along the curve C . (a) C is the line segment from P 1 , 1 , 2 to Q 3 , 2 , 1 . (b) C is the curve r t = 2 t 2 + 1 i + t 3 + 1 j + 2 − t k where 0 ≤ t ≤ 1. (c) C is the circle in the xy -plane of radius 1 centered at (2, 0, 0) traversed counterclockwise.
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