Find the gradient field F of the function f.f(x, y, z) = (x7y2 - y5z3)e-z2
A. F = 7x6y2e-z2i + (2x7y - 5y4z3)e-z2j + (3 - 2z2)y5z2e-z2k
B. F = 7x6y2e-z2i + (2x7y - 5y4z3)e-z2j + y2ze- z2[y3z(2z2 - 3) - 2x7]k
C. F = 7x6i + (5y4 - 2y)j + 2z4e-z2k
D. F = 7x6y2i + (5y4z3 - 2x7y)j + (2z2 - 3)y5z2k
Answer: B
Mathematics
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