Find the gradient field F of the function f.f(x, y, z) = (x9y2 - y8z3)e-z2

A. F = 9x8y2e-z2i + (2x9y - 8y7z3)e-z2j + y2ze- z2[y6z(2z2 - 3) - 2x9]k
B. F = 9x8y2i + (8y7z3 - 2x9y)j + (2z2 - 3)y8z2k
C. F = 9x8y2e-z2i + (2x9y - 8y7z3)e-z2j + (3 - 2z2)y8z2e-z2k
D. F = 9x8i + (8y7 - 2y)j + 2z4e-z2k


Answer: A

Mathematics

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