Calculus 5e_Part182

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

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: .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...
View Full Document

Ask a homework question - tutors are online