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

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: