For each function f(x,y,z), determine whether its gradient points radially outward from the origin, radially inward toward the origin, radia

For each function f(x,y,z), determine whether its gradient points radially outward from the origin, radially inward toward the origin, radially outward from the z-axis, or radially inward toward the z-axis.

a. f(x, y, z) = 1/x^2+y^2
b. f(x, y, z) = x^2 +y^2
c. f(x, y, z) = 1/ x^2 +y^2 + z^2
d. f(x, y, z) = x^2 + y^2 + z^2

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  1. Answer:

    A. Inwards towards the z axis

    B. Points radially outward from z origin

    C. Radially inwards toward origin

    D. points radially outward from origin

    Step-by-step explanation:

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