미분적분학 (CALCULUS) smith 스미스 3판 대학교재솔루션 등록

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미분적분학 (CALCULUS) smith 스미스 3판 대학교재솔루션

영문으로되있고 북스힐에서 나온 미분적분학 smith-minton 제3판의 솔루션 pdf파일입니다.

미분적분학 3판
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15.4장 1

FUNCTIONS AND MODELS

1.1 Four Ways to Represent a Function
In exercises requiring estimations or approximations, your answers may vary slightly from the answers given here. 1. (a) The point (?1, ?2) is on the graph of f , so f (?1) = ?2.

(b) When x = 2, y is about 2.8, so f (2) ? 2.8. (c) f (x) = 2 is equivalent to y = 2. When y = 2, we have x = ?3 and x = 1. (d) Reasonable estimates for x when y = 0 are x = ?2.5 and x = 0.3. (e) The domain of f consists of all x-values on the graph of f . For this function, the domain is ?3 ≤ x ≤ 3, or [?3, 3]. The range of f consists of all y-values on the graph of f . For this function, the range is ?2 ≤ y ≤ 3, or [?2, 3]. (f ) As x increases from ?1 to 3, y increases from ?2 to 3. Thus, f is increasing on the interval [?1, 3].
3. From Figure 1 in the text, the lowest point occurs at about (t, a) = (12, ?85). The highest point occurs at about (17, 115).

Thus, the range of the vertical ground acceleration is ?85 ≤ a ≤ 115. Writt

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