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13 Nov 2019

Evaluate the line integral â«_CFâ d r where F=â©2sinâ¡x,â3cosâ¡y,5xzâª and C is the path given by r(t)=(â2t^3,â2t^2,3t) for 0â¤tâ¤1

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Irving HeathcoteLv2

13 Nov 2019

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Evaluate the line integral â«CFâ dr, where F(x,y,z)=â(sin(x))iâ(cos(y))jâ4xzk and C is given by the vector function r(t)=t4iât3j+t2k , 0â¤tâ¤1.

Evaluate the line integral â«CFâ dr, where F(x,y,z)=3sin(x)iâ4cos(y)jâxzk and C is given by the vector function r(t)=t^6iât^5j+t^4k , 0â¤tâ¤1.

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is conservative by finding a potential function ff for FF, and use ff to compute â«CFâ drâ«CFâ dr, where CC is the curve given by

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for 0â¤tâ¤Ï/20â¤tâ¤Ï/2.

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