A certain index I is a measure of soil moisture. An article described the rate of change of I with respect to W, the amount of water available, by the following equation. Use the equation to answer the questions.

dI/dW=0.084(3.2I)

Part 1

a) If I has an initial value of 2 when W=0, solve the initial value problem.

I=__

Part 2

b) What happens to I as W becomes larger and larger

I approaches ___