All the edges of a cube are expanding at a rate of 4 in. per second. How fast is the volume changing when each edge is 10 in. long

Given:

All the edges of a cube are expanding at a rate of 4 in. per second.

To find:

The rate of change in volume when each edge is 10 in. long.

Solution:

Let a be the edge of the cube.

According to the question, we get

We know that, volume of a cube is

Differentiate with respect to t.

Putting the given values, we get

Therefore, the rate of change in volume 1200 cubic inches per second.

i think it's ф or x=6,-6

step-by-step explanation:

-x^2=-36

x^2=-36

ф

or

if you mean by : -(x^2)=-36

it'll be: x^2=36

x=6,x=-6

hope it'll ! have a good day!

you for asking!