Find the work C F dr done by the force F x2 i y2 j z 2 k around the curve C that is

Chapter 9, Problem 58

(choose chapter or problem)

Find the work \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\) done by the force \(\mathbf{F}=x^{2} \mathbf{i}+y^{2} \mathbf{j}+z^{2} \mathbf{k}\) around the curve C that is formed by the intersection of the plane z = 2 - y and the sphere \(x^{2}+y^{2}+z^{2}=4 z\).

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