Calculus question that i really need answered before 12: 30 am tomorrow. answer a, b, and c if you can you.

the water in a fish tank is decreasing at a rate of 2 inches per hour

Rate of change is the derivative

Rate of change in height with respect to time  is 2 inches per hour

so

(a)

unit is feet^2 so its area

the unit of area is always units^2

so da/dt is the rate of change in area with respect to time

(b)

r is the radius

so dr/dt is the rate of change in radius with respect to time

Radius is decreasing at the rate of  40 cm per minute

(c)

v is the volume . the unit of volume is always cubic units

so dv/dt is the rate of change in volume with respect to time

Volume is decreasing at the rate of  10 meter cube per second

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: