Find the gradient field F of the function f.f(x, y, z) = z sin (x + y + z)

A. F = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - z cos(x + y + z))k
B. F = cos xi + cos yj + (sin z + z cos z)k
C. F = -cos xi - cos yj + (sin z - z cos z)k
D. F = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + z cos(x + y + z))k


Answer: D

Mathematics

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Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A.
B.
C.
D.

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