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Pre-Calc Homework Solutions 196

# Pre-Calc Homework Solutions 196 - 196 Chapter 4 Review 1 x...

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30. f ( x ) 5 e x 1 sin x f 9 ( x ) 5 e x 1 cos x L ( x ) 5 f (0) 1 f 9 (0)( x 2 0) 5 1 1 2( x 2 0) 5 2 x 1 1 31. The global minimum value of } 1 2 } occurs at x 5 2. 32. (a) The values of y 9 and y 0 are both negative where the graph is decreasing and concave down, at T . (b) The value of y 9 is negative and the value of y 0 is posi- tive where the graph is decreasing and concave up, at P . 33. (a) The function is increasing on the interval (0, 2]. (b) The function is decreasing on the interval [ 2 3, 0). (c) The local extreme values occur only at the endpoints of the domain. A local maximum value of 1 occurs at x 5 2 3, and a local maximum value of 3 occurs at x 5 2. 34. The 24th day 35. 36. (a) We know that f is decreasing on [0, 1] and increasing on [1, 3], the absolute minimum value occurs at x 5 1 and the absolute maximum value occurs at an endpoint. Since f (0) 5 0, f (1) 5 2 2, and f (3) 5 3, the absolute minimum value is 2 2 at x 5 1 and the absolute maxi- mum value is 3 at x 5 3.
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