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Consider the conservative vector field F(x,y,z)=(4ycos(4yx),4xcos(4yx)+14z3y,21z2y2) and the path C given by r(t)=[t,4cos(t)+7,4sin(t)+4] for 0t23. Determine a potential for F such that (0,0,0)=0. Then determine

image text in transcribed Consider the conservative vector field F(x,y,z)=(4ycos(4yx),4xcos(4yx)+14z3y,21z2y2) and the path C given by r(t)=[t,4cos(t)+7,4sin(t)+4] for 0t23. Determine a potential for F such that (0,0,0)=0. Then determine the circulation of F along C. A potential such that (0,0,0)=0 is = The circulation along C is

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