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:
Jane used 2/5 of a scoop more of brown sugar than she did with white sugar.
Step-by-step explanation:
If you want to find how much more something is from something else, you subtract. So, subtract 9/10-1/2. If you want to subtract, they should both have the same denominator. So, 9/10-1/2 is the same as 9/10-5/10. 9/10-5/10 is equal to 4/10 which is simplified to 2/5.
6.11 miles is Emily’s Distance amount
Answer:
Area of triangle = ½ × base × height
Step-by-step explanation:
(A = ½ × b × h)
This formula is mainly used to find the area of the triangle.
