Each side of a square is increasing at a rate of 5 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 36 cm2?

The area of the square is increasing at a rate of 60 cm²/s when the area of the square is 36 cm²

Step-by-step explanation:

From the formula for area of a square

Where is the area

and is the length of a side

Differentiate the equation with respect to time t

Let

Then,

Using Chain rule

Since,

∴ becomes

To determine the rate at which the area of the square is increasing when the area of the square is 36 cm². We will find the length at this instant.

From

∴

From the question,

Each side of a square is increasing at a rate of 5 cm/s, that is

Putting the parameters into the equation,

Hence, the area of the square is increasing at a rate of 60 cm²/s when the area of the square is 36 cm².

the bottom of the spinner is not flat.

step-by-step explanation:

y=1/4x-4

step-by-step explanation: