a cube with edges of length x centimeters has a volume V(x) = x^3 cubic centimeters. The volume is increasing at a constant rate of 40 cubic centimeters per minute. At the instant when x = 2, what is the rate of x, in centimeters per minute, with respect to time?

The rate of change of x, in centimeters per minute, with respect to time is found to be :

Step-by-step explanation:

Edge length of the cube is given to be x centimeters

Step-by-step explanation:

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2