1. f(t) = e^(-4t)
2. f(x) = 1/(e^x + 2)^2
3. g(x) = (25x^2)/(2^x)
4. y = (t^3 - 7t^2 + 1)e^t
5. f(x) = 4^(x^(1/2))
6. What is the 100th derivative of B(x) = e^x?
7. f(x) = ((3x^2 + 5x - 1)^3)^2

Part 2. Solve.  Show work and explain as you feel necessary.

8.  Given f(x = x^3 - 6x^2 + 9x - 5
     a.  Find the slope of the tangent line to the graph of f(x) at x = -2 using Calculus.
     b.  Write the equation of the tangent line.
     c.  Use Calculus to find the points where the curve has a horizontal tangent.

9. If P dollars are invested at an annual rate of r% then in t years the investment grows to F dollars where
                          F = P(1 + (r/100))^t
     a.  Assuming P and r are constant, find dF/dt.
     b.  In practical terms (in terms of money), what does the derivative mean?
     c.  If $10,000 is invested at 8%, find F'(4) and give its interpretation.