Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x + 5y + 4z = 15

We want to maximize subject to the constraint .

The Lagrangian is

with critical points where the partial derivatives vanish:

We assume . Then from the first three equations, we get

which leads us to a critical point at , and hence a maximum volume of .

the answer is c

hope this !

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: