Let f be a function of two variables that has continuous partial derivatives and consider the points A(9, 1), B(12, 1), C(9, 8), and D(15, 9). The directional derivative of f at A in the direction of the vector AB is 8 and the directional derivative at A in the direction of AC is 12. Find the directional derivative of f at A in the direction of the vector AD. (Round your answer to two decimal places.)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

answer: what in the world is this

step-by-step explanation:

6 cm

step-by-step explanation: