The radius of a circular oil spill after t minutes is given by r ( t ) = √ 25 t . Find the instantaneous rate at which the radius is growing after 31 minutes.

The instantaneous rate at which the radius is growing after 31 minutes is

Explanation:

It is given that the radius of a circular oil spill after t minutes is given by

Simplifying, we have,

The instantaneous rate of change can be determine by differentiating with respect to t.

Thus, we have,

We need to determine the instantaneous rate of the radius after 31 minutes.

Hence, substituting in the above expression, we get,

Substituting the value of , we get,

Multiplying the denominator, we get,

Dividing, we have,

Thus, the instantaneous rate at which the radius is growing after 31 minutes is

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

the answer is c 150

step-by-step explanation: