1. Identify the maximum/minimum coordinates of y = 2e x-1 - 2x - 1 2. The value of an investment is modelled by A(t) = 5000e 0.009t , where A is the amount of the investment after t years. At what rate is the investment growing at the time when its values has tripled, rounded to the nearest dollar per year? 3. The flow of lava from a volcano can be modelled by the function F(t) = 12(2 - 0.8 t ) where F is the distance from the crater, in kilometres, and t is the time in hours since the volcanic eruption. How fast is the lava flowing after 4 hours, to two decimal places?

1. Discuss why you never see a maximum/minimum question for an exponential equation in the form y = ab x in a Calculus class. 2. Make up an equation with the following features and derive it: three terms, one of which is an exponential not base-e with one chain application, one term base-e exponential with two chain applications and the third term being a base-e constant.