Astone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.4 ft/s. (a) how rapidly is the area enclosed by the ripple increasing when the radius is 4 feet? the area is increasing at ft2/sft2/s. (b) how rapidly is the area enclosed by the ripple increasing at the end of 9 seconds? the area is increasing at ft2/sft2/s.

a. The area enclosed by the circular ripple is increasing at  when the radius is 4 feet.

b. The area enclosed by the circular ripple is increasing at  at the end of 9 seconds.

Given the following data:

a. To find how rapidly the area enclosed by the circular ripple is increasing when the radius is 4 feet:

Mathematically, we know that the area of a circle is given by the formula;

Where:

Next, we would differentiate with respect to time;

Substituting the values, we have;

× ×  ×

Therefore, the area enclosed by the circular ripple is increasing at  when the radius is 4 feet.

b.  To find how rapidly the area enclosed by the circular ripple is increasing at the end of 9 seconds:

First of all, we would determine the radius after 9 seconds as follows;

Radius, r = 21.6 feet.

Now, we can determine the rate at which the area is increasing:

Substituting the values, we have;

× ×  ×

Therefore, the area enclosed by the circular ripple is increasing at  at the end of 9 seconds.

Read more: link

u can delete ur account.

1. go on google and write

2 open this and click on your profile pic and if your profile is not appearing, then u have to log in.

3. when u click on your profile pic, there appears four options on the top.

4. click on the 1st option and scroll down and go at the bottom.

5. click on edit profile.

6. there appears a option 'prefernces' and at that option at the right side , 'edit' is written.

7. click on the edit option.

8. there is a option " i want to delete my account" and click on that.

hope this u

and ur welcm

: )