Find the value of w 3 d if g 1 is the inverse function

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: be the function given by w( x ) = g(x) Ú1 f (t ) dt. Find the value of w ¢(3) . (d) If g -1 is the inverse function of g, write an equation for the line tangent to the graph of y = g -1 ( x ) at x = 2. WRITE ALL WORK IN THE PINK EXAM BOOKLET. END OF PART A OF SECTION II © 2007 The College Board. All rights reserved. Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for students and parents). -4- 2007 AP® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B Time—45 minutes Number of problems—3 No calculator is allowed for these problems. 4. A particle moves along the x-axis with position at time t given by x (t ) = e - t sin t for 0 £ t £ 2 p . (a) Find the time t at which the particle is farthest to the left. Justify your answer. (b) Find the value of the constant A for which x (t ) satisfies the equation Ax ¢¢(t ) + x ¢(t ) + x (t ) = 0 for 0 < t < 2 p . t (minutes) r ¢(t ) (feet per minute) 0 2 5 7 11 12 5.7 4.0 2.0 1.2 0.6 0.5 5. The volume of a spheri...
View Full Document

This note was uploaded on 12/15/2009 for the course SOCIAL STU 129348437 taught by Professor Phalange during the Spring '09 term at Aberystwyth University.

Ask a homework question - tutors are online