Pre-Calc Homework Solutions 153

Pre-Calc Homework Solutions 153 - Section 4.4 47 One...

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47. One possible answer: 48. One possible answer: 49. (a) Regression equation: y 5 [0, 8] by [ 2 400, 2300] (b) At approximately x 5 3.868 (late in 1996), when the sales are about 1081 million dollars/year (c) 2161.45 million dollars/year 50. (a) In exercise 13, a 5 4 and b 5 21, so 2} 3 b a }52} 7 4 } , which is the x -value where the point of inflection occurs. The local extrema are at x 52 2 and x 52} 3 2 } , which are symmetric about x 52} 7 4 } . (b) In exercise 8, a 52 2 and b 5 6, so 2} 3 b a } 5 1, which is the x -value where the point of inflection occurs. The local extrema are at x 5 0 and x 5 2, which are symmetric about x 5 1. (c) f 9 ( x ) 5 3 ax 2 1 2 bx 1 c and f 0 ( x ) 5 6 ax 1 2 b . The point of inflection will occur where f 0 ( x ) 5 0, which is at x 52} 3 b a } . If there are local extrema, they will occur at the zeros of f 9 ( x ). Since f 9 ( x ) is quadratic, its graph is a parabola and any zeros will be symmetric about the vertex which will also be where f 0 ( x ) 5
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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