Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x, y, z) =
Posted: Mon Jul 11, 2022 10:43 am
Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x, y, z) = 6x2 - 5xy + xyz (a) Find the rate of change of the potential at P(2, 8, 8) in the direction of the vector v = i + j - k. (b) In which direction does V change most rapidly at P? <48, 1.1 (c) What is the maximum rate of change at P?