Answer: What is the question?
Step-by-step explanation:
Answer:
a) The gradient of a function is the vector of partial derivatives. Then

b) It's enough evaluate P in the gradient.

c) The directional derivative of f at P in direction of V is the dot produtc of
and v.
![\nabla f(P) v=(-4,-4)\left[\begin{array}{ccc}2\\3\end{array}\right] =(-4)2+(-4)3=-20](https://tex.z-dn.net/?f=%5Cnabla%20f%28P%29%20v%3D%28-4%2C-4%29%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C3%5Cend%7Barray%7D%5Cright%5D%20%3D%28-4%292%2B%28-4%293%3D-20)
d) The maximum rate of change of f at P is the magnitude of the gradient vector at P.

e) The maximum rate of change occurs in the direction of the gradient. Then

is the direction vector in which the maximum rate of change occurs at P.
Answer:
12
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
since she already has 18 cups flour she needs 6 cups of sugar