The fundamental period of 2cos3 x is A 2 3 S B 2 S C 6 S D 2 E 3 14 2 3 3 1 x

The fundamental period of 2cos3 x is a 2 3 s b 2 s c

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13. The fundamental period of 2cos(3)xis (A) 23(B) 2S(C) 6S(D) 2 (E) 3 S 14. 23 3 1 x dx x µ ³ 15. For what value of xdoes the function 2( )(2)(3)f xxx±±have a relative maximum? 16. The slope of the line normalto the graph of 2ln(sec )yxat 4xSis
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AP Calculus Multiple-Choice Question Collection 82 Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com. 1993 AP Calculus AB: Section I 17. 22(1)xdxµ³ (A) 23(1)3(B) 23(1)6(C) (D) 232 (1)3(E) 53253 x C µ µ x C x µ µ 2 3 3 x x C § · µ µ ¨ ¸ ¨ ¸ © ¹ x x C µ µ x x x C µ µ µ 18. If ( )sin2 x f x § · ¨ ¸ © ¹ , then there exists a number c in the interval 3 2 2 x S S ´ ´ that satisfies the conclusion of the Mean Value Theorem. Which of the following could be c ? S S S S 19. Let fbe the function defined by 3for 0,( )for 0. x x f x x x ­ d ° ® ! ° ¯ Which of the following statements about f is true?
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AP Calculus Multiple-Choice Question Collection 83 Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com. 1993 AP Calculus AB: Section I 20. Let Rbe the region in the first quadrant enclosed by the graph of 1 3 ( 1) y x µ , the line 7 x , the x- axis, and the y -axis. The volume of the solid generated when R is revolved about the -axis y is given by 2 7 3 0 ( 1) x dx S µ ³ 1 7 3 0 2 ( 1) x x dx S µ ³ 2 2 3 0 ( 1) x dx S µ ³ 1 2 3 0 2 ( 1) x x dx S µ ³ 21. At what value of xdoes the graph of 23 1 1 y x x ± have a point of inflection? (A) 0 (B) 1 (C) 2 (D) 3 (E) At no value of x 22. An antiderivative for 2 1 2 2 x x ± µ is x x ± µ 23. How many critical points does the function 54( )(2) (3)f xxxµ±have? 24. If 2 2 3 ( ) ( 2 1) , f x x x ± ± then (0) f c is
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AP Calculus Multiple-Choice Question Collection 84 Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com. 1993 AP Calculus AB: Section I
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