Fx fx 15 x 2x 29 y 1517 16 f 0 6x 2 27 y xl0 14 x3 25

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Unformatted text preview: .5 to sketch the curve. 19. y s xl 13. lim |||| 21. y s 2 xl0 1 x2 2 20. y s Evaluate the limit. tan ln 1 1 0, 1, 3 s 0 _1 2, 1 sin 2 x, s |||| xl0 y 0, 4 _2 2 s 7. lim , 2 x 6. f x 7–14 x x (c) Sketch the graph of f . (d) Sketch a possible graph of f . 0, 4 x2 5. f x s sx, x 4. f x x 3, 27x s s s 18. The figure shows the graph of the derivative f of a function f . (a) On what intervals is f increasing or decreasing? (b) For what values of x does f have a local maximum or minimum? 1 1 e1 x . (b) Explain the shape of the graph by computing the limits of , 0 , and 0 . f x as x approaches , (c) Use the graph of f to estimate the coordinates of the inflection points. (d) Use your CAS to compute and graph f . (e) Use the graph in part (d) to estimate the inflection points more accurately. 40. (a) Graph the function f x C HAPTER 4 REVIEW C AS C AS 41. If f x arctan cos 3 arcsin x , use the graphs of f , f , and f to estimate the x-coordinates of the maximum and minimum points and inflection points of f . 56. Do Exercise 55 when CD ln 2 x x sin x , use the graphs of f , f , and f to estimate the intervals of increase and the inflection points of f on the interval 0, 15 . 2 c xe c x . What happens to the maximum and minimum points and the inflection points as c changes? Illustrate your conclusions by graphing several members of the family. 45. Show that the equation x 101 x 51 x 1 2 fx 5 for all x in 0, 4 . Show that 9 shape of a right circular cylinder surmounted by a hemisphere. What dimensions will require the least amount of metal? 59. A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket price set at $12, average attendance at a game has been 11,000. A market survey indicates that for each doll...
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