Calculus 3 Question 1: Use the Divergence Theorem to find the flux of F = x(z-y)i + y(x-z)j + z(y-z)k outward through th

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Calculus 3
Question 1:
Use the Divergence Theorem to find the flux of
F = x(z-y)i +
y(x-z)j + z(y-z)k outward through
the boundary of the solid sphere
x²+y²+z² ≤ 4
Question 2:
Use the surface integral in Stroke' Theorem to calculate the
circulation of the field F = yzi
+ xzj + xyk around the curve C,
where C is the square bounded by the lines x=±1, y=±1, lying in the
xy-plane