The radius of a circular oil slick expands at a rate of 2 m/min.

(a) how fast is the area of the oil slick increasing when the radius is 25 m
(b) if the radius is 0 at time , how fast is the area increasing after 4 mins

As we knw that the dr/dt = 2
 And  The area of the circular slick is given by formul
 A = (pi)r^2.
Now lets take derivative: dA/dt=2πrdr/dt
As we knw that radius is 25
sodA/dt=2π(25)(2)=100π
which is equal to
=314.16 per minute this is how area is increasing
now for part b
 t = 4, the radius will have increased to 8 m.
   now we will put the values in formula dr/dt
so it will be.dA/dt=2π(8)(2)
=32π
=100.53 is the answer
hope it helps

Gggģcawrygr3ezt9d hu and the other countries have been working to make it easier to box up their homes in an area where the government has not yet decided which countries will have the option of the government