Account balance: The balance B, in dollars, of your checking account is a function of t, the num-ber of years since the account was opened. The rate of change dB dt in the balance is given by the...

Account balance: The balance B, in dollars, of your checking account is a function of t, the num-ber of years since the account was opened. The rate of change dB dt in the balance is given by the formula

a. Use your calculator to make a graph of dB dt versus t covering the first 3 years.

b. During what period is the balance B increasing?

c. At what time is the balance B at its maximum?