By James Stewart, Jeffrey A. Cole, Daniel Drucker, Daniel Anderson
Offers thoroughly worked-out recommendations to all odd-numbered workouts in the textual content, giving scholars how to cost their solutions and confirm that they took the proper steps to reach at a solution.
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Additional resources for Student Solutions Manual for Stewart's / Single Variable Calculus: Early Transcendentals
Use a graph to estimate the values of x such that (b) f ͑x͒ 16. (a) t͑t͒ sin͑eϪt ͒ ■ 10 x ; 23. Compare the functions f ͑x͒ x and t͑x͒ e by graphing Find the domain of each function. 15. (a) f ͑x͒ ■ both functions in several viewing rectangles. Find all points of intersection of the graphs correct to one decimal place. Which function grows more rapidly when x is large? graph that results from (a) reflecting about the line y 4 (b) reflecting about the line x 2 |||| ■ 5 x ; 22. Compare the functions f ͑x͒ x and t͑x͒ 5 by graphing 14.
A) y f ͑x Ϫ 4͒ (b) y f ͑x͒ ϩ 3 1 (c) y 3 f ͑x͒ (d) y Ϫf ͑x ϩ 4͒ (e) y 2 f ͑x ϩ 6͒ 2 x 5 7. y y @ ! 5 # $ _6 0 _3 ■ 6 3 x (b) y f ͑x͒ ϩ 4 (c) y 2 f ͑x͒ (d) y Ϫ f ͑x͒ ϩ 3 1 2 y 0 1 x 5. The graph of f is given. 2, and then applying the appropriate transformations. 10. y 1 Ϫ x 2 11. y ͑ x ϩ 1͒2 12. y x 2 Ϫ 4x ϩ 3 13. y 1 ϩ 2 cos x 14. y 4 sin 3x 15. y sin͑ x͞2͒ 16. y 17. y sx ϩ 3 18. y ͑ x ϩ 2͒4 ϩ 3 19. y 2 ͑ x 2 ϩ 8x͒ 3 xϪ1 20. y 1 ϩ s 1 2 xϩ1 y 21. y 1 23.
6 INVERSE FUNCTIONS AND LOGARITHMS ; (c) Estimate the size of the population after 20 hours. (d) Graph the population function and estimate the time for the population to reach 50,000. 63 ; 28. The table gives the population of the United States, in millions, for the years 1900–2000. 26. An isotope of sodium, 24 Na, has a half-life of 15 hours. A ; ❙❙❙❙ sample of this isotope has mass 2 g. (a) Find the amount remaining after 60 hours. (b) Find the amount remaining after t hours. (c) Estimate the amount remaining after 4 days.