Find the gradient field of the function.f(x, y, z) = (x5y2 - y10z3)e-z2
A. ?f = 5x4y2e-z2i + (2x5y - 10y9z3)e-z2j + y2ze- z2[y8z(2z2 - 3) - 2x5]k
B. ?f = 5x4i + (10y9 - 2y)j + 2z4e-z2k
C. ?f = 5x4y2i + (10y9z3 - 2x5y)j + (2z2 - 3)y10z2k
D. ?f = 5x4y2e-z2i + (2x5y - 10y9z3)e-z2j + (3 - 2z2)y10z2e-z2k
Answer: A
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