1.Finddy/dximplicitly. x²ye^y5= 0

2.The balanceA(in dollars) in a savings account is given byA=8000e^0.09t,wheretis measured in years. Find the rate at which the balance is changing whent= 1 year,t= 10 years,andt= 50 years.(Round your answers to two decimal places.)

(a)t= 1 year $per year= (b)t= 10 years $per year= (c)t= 50 years $per year=

3.The yieldV(in pounds per acre) for an orchard at aget(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