16. If yis a function xsuch that 0y′ >for all xand 0y′′ <for all x, which of the following could be part of the graph of ( )?yf x=17. The graph of 455yxx=−has a point of inflection at
(A) ()0,0only (B) ()3,162only (C) ()4,256only (D) ()()0,0 and 3,162(E) ()()0,0 and 4,25618. If ( )23f xx=+−for all x, then the value of the derivative ( )fx′at 3x=is

AP Calculus Multiple-Choice Question Collection14Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com. 1969 AP Calculus BC: Section I
19. A point moves on the x-axis in such a way that its velocity at time t()0t>is given by lntvt=. At what value of tdoes vattain its maximum?
12e32e
20. An equation for a tangent to the graph of arcsin2xy=at the origin is
21. At 0x=, which of the following is true of the function fdefined by 22( )xf xxe−=+?
(A) fis increasing. (B) fis decreasing. (C) fis discontinuous. (D) fhas a relative minimum. (E) fhas a relative maximum.22. If 031( )2xf xdtt=+∫
, which of the following is FALSE?

AP Calculus Multiple-Choice Question Collection15Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com. 1969 AP Calculus BC: Section I
23. If the graph of ( )yf x=contains the point ()0, 2,2xdyxdxye−=and ( )0f x>for all x, then ( )f x=
24. If sin, 0,yxex=<< πwhat is dydxin terms of x?
25. A region in the plane is bounded by the graph of 1yx=, the x-axis, the line xm=, and the line 2xm=, 0m>. The area of this region
(A) is independent of m. (B) increases as mincreases. (C) decreases as mincreases. (D) decreases as mincreases when 12m<; increases as mincreases when 12m>. (E) increases as mincreases when 12m<; decreases as mincreases when 12m>. 26. 12021xxdx−+∫is

AP Calculus Multiple-Choice Question Collection16Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com. 1969 AP Calculus BC: Section I
27. If tan,dyxdx=then y=

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