{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# D is your approximation in part c greater than or less

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: 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-...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online