Question

EXAMPLE 1
Suppose that the temperature T at each point (x, y, z) in a region of
space is given by
T = 100 – x2 - y2 – 22,
and that F(x, y, z) is defined to be the gradient of T. Find the vector field F.

Answer 1

Answer:

F(x, y, z)=(-2x) i+(-2y )j+(-2z )k

Step-by-step explanation:

F(x, y, z)=(-2x) i+(-2y )j+(-2z )k