ptest2

# ptest2 - 1 Practice Test 2 1. Take the derivatives of the...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Practice Test 2 1. Take the derivatives of the following functions: (a) f (x) = 4 3x3 + 2x + x (b) g(x) = 1 (x3 +2x2 +3x-1)4 2. Find the equation of the tangent line to F (x) = 2x2 - 4x + 1 at x = 3. 3. Find the second derivative of the following functions: (a) f (x) = (2x2 - 3x + 1)3/4 2x - 1 (b) g(x) = 3x + 2 4. Find the relative extrema of f (x) = 1-x2/3 . Classify the extrema as maxima or minima. 5. Sketch the graph of a function f (x) that is increasing on the intervals (-, 2) and (5, inf ty), decreasing on (2, 5) with a vertical asymtote at x = 2 and a left and right horizontal asymptote of y = 3. 6. Sketch the graph of f (x) = 3x4 - 2x2 . 7. Find the largest area enclosed by a fence with a perimeter of 60 feet. 1 8. Find all relative minima and maxima of F (x) = - 3 x3 + 6x2 - 11x - 50 on the interval [-3, 3]. Are any of the relative extrema absolute extrema and the same interval? 9. Does the function f (x) = real line? 10. Find limx 1 x2 have any absolute minima or maxima on the 11. A university is trying to set ticket prices for football games. If the tickets cost \$18, average attendance is 40,000. For every \$3 increase ticket price, 10,000 fewer people come. On average, each person spends \$6 at the game on concessions and programs. Maximize the revenue of the university's football program. 12. Minimize Q(x, y) = 3x + y 3 where x2 + y 2 = 1. 13. HaHaTicToc sells 350 orchids per year. It costs \$55 to store an orchid for one year. Each order costs \$20 handling fee, plus \$3 shipping per plant. How many times per year should the store order orchids, and in what lot size, in order to minimize inventory costs? See example Example 6, 2.5 4 + 2x + 3x2 . 1 - x - 5x2 ...
View Full Document

## This note was uploaded on 04/16/2008 for the course CALC 1304 taught by Professor Pruett during the Spring '08 term at Baylor.

Ask a homework question - tutors are online