2001 Free Response

The function f has a local minimum at x 1 and the

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: defined by f ( x ) = 4 x 3 + ax 2 + bx + k where a, b, and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x = −2. (a) Find the values of a and b. (b) If I 1 0 f ( x ) dx = 32, what is the value of k ?  1  is on the graph of y = 4 6. The function f is differentiable for all real numbers. The point 3, 05 slope at each point x , y on the graph is given by (a) Find d2y dx 2 f ( x ), and the dy = y 2 (6 - 2 x ). dx  1  . 4 and evaluate it at the point 3, (b) Find y = f ( x ) by solving the differential equation 0 5 END OF EXAMINATION Copyright © 2001 by College Entrance Examination Board. All rights reserved. Advanced Placement Program and AP are registered trademarks of the College Entrance Examination Board. 5 05 dy 1 = y 2 6 − 2 x with the initial condition f 3 = . 4 dx...
View Full Document

This document was uploaded on 02/17/2014.

Ask a homework question - tutors are online