Question

find the rate of change of the area of a square when the side of the square is 2 meters and the side is growing at a rate of 3 meters per second.

Answer 1

The rate of change of the area of a square is 12m^2/sec.

What do you mean by rate of change?

The term "rate of change" refers to the rate at which one quantity changes in respect to another. Consequently, if y value is the dependent variable and x value is the independent variable.

Rate of Change is equal to $\frac{Change in y}{Change in x}$.

Change rates may be positive or negative. This reflects a change in the y-value between the two data points, either up or down. Zero rate of change is the state where a quantity does not change over time.

Solution Explained:

Given,

S = 2m and ds/dt = 3m/s

So, we use

Area = s^2

dA/dt = 2s ds/dt

         = 2 X 2 X 3

Therefore, the rate of change of the area is 12m^2/s.

To learn more about the rate of change, use the link given
https://brainly.com/question/25184007
#SPJ4