2nbspthe balancenbspanbspin dollars in a savings account is

Question

1.Find dy/dx implicitly.  x²y - e^y - 5 = 0

2. The balance A (in dollars) in a savings account is given by A = 8000e^0.09t, where t is measured in years. Find the rate at which the balance is changing when t = 1 year, t = 10 years,and t = 50 years. (Round your answers to two decimal places.)

(a)    t = 1 year
mce_markernbsp; per year=

(b)    t = 10 years
mce_markernbsp; per year=

(c)    t = 50 years
mce_markernbsp; per year=

3. The yield V (in pounds per acre) for an orchard at age t (in years) is modeled by the function below. V = 7975.6e^-0.0458/t
At what rate is the yield changing at each of the following times? (Round your answers to two decimal places.)

(a)    t = 5 years
 pounds per acre per year

(b)    t = 10 years
 pounds per acre per year

(c)    t = 25 years
 pounds per acre per year