1. Evaluate y = Integration-sign e^(ax+b) dx .
2. Find the area of Recordi's new exponential pool, which is bounded by y=e^x, y=0, x=0 and x=3.
3. Find dy/dx for y=x^2 e^-x . Find points where the curve has horizontal tangents.
4. Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?