Find the directional derivative of f(x, y,z)=z3−x2yf(x, y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v=⟨−3,2,−4⟩v=⟨−3,2,−4⟩.

We are given

Firstly, we can find gradient

so, we will find partial derivatives

now, we can plug point (-5,5,2)

so, gradient will be

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

now, we can find unit vector

now, we can find dot product to find direction of the vector

now, we can plug values

.............Answer

i will pick c put check it over to be sure

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.