Match the functions f(x, y, z) with the description of their gradients. No reasons needed. (a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin