Question: Math 4A Quiz 7 Name: 1. Use the potential function ($, y, z) = 33y + arz + yz of the gradient eld F and

 Math 4A Quiz 7 Name: 1. Use the potential function ($,

y, z) = 33y + arz + yz of the gradient eld

Math 4A Quiz 7 Name: 1. Use the potential function ($, y, z) = 33y + arz + yz of the gradient eld F and the curve C : r(t) =, for 0 S t S 4, to evaluate the line integral fF'dI', in two ways: (a) (5 points) Use a parametric description of C and evaluate the integral directly. (b) (5 points) Use the Fundamental Theorem for line integrals

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