The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when the radius is 5 ft.

  rate is its area changing when the radius is 5 ft.

Step-by-step explanation:

Here we have , The radius of a circle is increasing at a rate of 3 ft/min. We need to find  At what rate is its area changing when the radius is 5 ft. Let's find out:

We know that area of circle  = .

⇒

Differentiating both sides w.r.t to time we get :

⇒

⇒    ............(1)              {    }

But , According to Question

Putting this value in equation (1):

⇒

⇒

⇒

Therefore ,   rate is its area changing when the radius is 5 ft.

can you make your screen more see able?

then i might be able to .

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval