D is your approximation in part c greater than or less

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Unformatted text preview: approximation in part (c) greater than or less than r ¢(t ) dt in terms of the radius of the balloon. 12 Ú0 r ¢(t ) dt ? Give a reason for your answer. WRITE ALL WORK IN THE PINK EXAM BOOKLET. © 2007 The College Board. All rights reserved. Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for students and parents). GO ON TO THE NEXT PAGE. -5- 2007 AP® CALCULUS AB FREE-RESPONSE QUESTIONS 6. Let f be the function defined by f ( x ) = k x - ln x for x > 0, where k is a positive constant. (a) Find f ¢( x ) and f ¢¢( x ) . (b) For what value of the constant k does f have a critical point at x = 1 ? For this value of k, determine whether f has a relative minimum, relative maximum, or neither at x = 1. Justify your answer. (c) For a certain value of the constant k, the graph of f has a point of inflection on the x-axis. Find this value of k. WRITE ALL WORK IN THE PINK EXAM BOOKLET. END OF EXAM © 2007 The College Board. All rights reserved. Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for students and parents). -6-...
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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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