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

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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 &lt; t &lt; 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...
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## 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.

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