A pond: Water is running out of a pond through a drainpipe. The amount of water, in gallons, in the pond t minutes after the water began draining is given by a function G = G(t). a. Explain the...

A pond: Water is running out of a pond through a drainpipe. The amount of water, in gallons, in the pond t minutes after the water began draining is given by a function G = G(t).

a. Explain the meaning in practical terms of dG dt .

b. While water is running out of the pond, do you expect dG dt to be positive or negative?

 c. When t = 30, water is running out of the drainpipe at a rate of 8000 gallons per minute. What is the value of dG dt ?

d. When t = 30, there are 2,000,000 gallons of water in the pond. Using the information from part c, estimate the value of G(35).