Find the gradient field F of the function f.f(x, y, z) = (x6y2 - y9z3)e-z2
A. F = 6x5i + (9y8 - 2y)j + 2z4e-z2k
B. F = 6x5y2i + (9y8z3 - 2x6y)j + (2z2 - 3)y9z2k
C. F = 6x5y2e-z2i + (2x6y - 9y8z3)e-z2j + y2ze- z2[y7z(2z2 - 3) - 2x6]k
D. F = 6x5y2e-z2i + (2x6y - 9y8z3)e-z2j + (3 - 2z2)y9z2e-z2k
Answer: C
Mathematics
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