1. The population of Terabithia (in thousands) can be approximated by the function p(x) = -4×3 + 27×2 + 30x + 17 (for 0≤ 30) where x = 0 corresponds to the year 1995. During what year will the population of Terabithia be at its highest? What will its highest population be? (3 pts)
Find AND SIMPLIFY the derivative of each of the following. Be sure to use proper notation. On #2 do not FOIL. Practice using the product rule. (2 pts each):
2. f(x) = (-4x + 7)(9 – 7x) 3. f(x) = (3x – 5)/(4 – 8x)
4. Find the critical numbers (2 pts), open interval(s) where this function is increasing and/or decreasing (3 pts), and all points where the curve has a maximum and/or minimum (2 pts).
(1/2)x^4 + (5/3)x^3 – 6x^2 + 6 
5. The amount of electricity (in trillion kilowatt hours) generated by natural gas in the US can be approximated by the function f(x) = 0.10(1.05)x, where x = 0 corresponds to 1960. How many trillion kilowatt hours were generated in the year 1987? [from p191 #48] (2 pts)
Solve the following inequalities. Graph the solution and write your answer in interval notation. (2 pts each)
6. |3x – 4| + 5 > 11 7. x^2 – x ≤ 6