By James Stewart
Luck on your calculus direction starts off the following! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a cause: they're transparent, exact, and choked with suitable, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, 7th variation, Stewart conveys not just the software of calculus that can assist you boost technical competence, but in addition offers an appreciation for the intrinsic great thing about the topic. His sufferer examples and integrated studying aids might help you construct your mathematical self assurance and attain your ambitions within the path.
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Extra info for Calculus: Early Transcendentals (7th Edition)
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May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 1 15 FOUR WAYS TO REPRESENT A FUNCTION (b) Since t͑x͒ 1 1 x2 Ϫ x x͑x Ϫ 1͒ and division by 0 is not allowed, we see that t͑x͒ is not defined when x 0 or x 1.
Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. qk:97909_01_ch01_p009-019 18 CHAPTER 1 9/20/10 4:14 PM Page 18 FUNCTIONS AND MODELS to the y-axis (see Figure 19). This means that if we have plotted the graph of f for x ജ 0, we obtain the entire graph simply by reflecting this portion about the y-axis. y y f(_x) ƒ _x 0 _x ƒ 0 x x x x FIGURE 20 An odd function FIGURE 19 An even function If f satisfies f ͑Ϫx͒ Ϫf ͑x͒ for every number x in its domain, then f is called an odd function.
Express the lengths a and b in the figure in terms of . 24 6. If sin x 3 and sec y 4 , where x and y lie between 0 and ր 2, evaluate sin͑x ϩ y͒. 1 a 5 7. Prove the identities. ¨ (a) tan sin ϩ cos sec b FIGURE FOR PROBLEM 5 (b) 2 tan x sin 2x 1 ϩ tan 2x 8. Find all values of x such that sin 2x sin x and 0 ഛ x ഛ 2. 9. Sketch the graph of the function y 1 ϩ sin 2x without using a calculator. Answers to Diagnostic Test D: Trigonometry 1. (a) 5͞3 (b) Ϫ͞10 6. 2. 6Њ 8. 0, ͞3, , 5͞3, 2 1 15 (4 ϩ 6 s2 ) 9.