Business Calc Homework w answers_Part_29

Business Calc Homework w answers_Part_29 - Section 4.3 2x...

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12. y 95 h y 05 h Graphical support: [ 2 4, 4] by [ 2 3, 6] (a) ( 2‘ , 0) and [0, ) (b) None (c) (0, ) (d) ( 2‘ ,0) (e) Local minimum: (0, 1) (f) Note that (0, 1) is not an inflection point because the graph has no tangent line at this point. There are no inflection points. 13. y 12 x 2 1 42 x 1 36 5 6( x 1 2)(2 x 1 3) y 24 x 1 42 5 6(4 x 1 7) Graphical support: [ 2 4, 4] by [ 2 80, 20] (a) ( 2‘ , 2 2] and 3 2} 3 2 } , 2 (b) 3 2 2, 2} 3 2 } 4 (c) 1 2} 7 4 } , 2 (d) 1 2‘ , 2} 7 4 } 2 (e) Local maximum: ( 2 2, 2 40); local minimum: 1 2} 3 2 } , 2} 16 4 1 } 2 (f) 1 2} 7 4 } , 2} 32 8 1 } 2 x , 0 x . 0 2 2, 2, x , 0 x . 0 2 2 x , 2 x , Section 4.3 141 Intervals x , 0 x . 0 Sign of y 911 Behavior of y Increasing Increasing Intervals x , 0 x . 0 Sign of y 02 1 Behavior of y Concave down Concave up Intervals x ,2 2 2 2 , x ,2} 3 2 } 2} 3 2 } , x Sign of y 9 121 Behavior of y Increasing Decreasing Increasing Intervals x 7 4 } 2} 7 4 } , x Sign of y 1 Behavior of y Concave down Concave up
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14. y 952 4 x 3 1 12 x 2 2 4 Using grapher techniques, the zeros of y 9 are x < 2 0.53, x < 0.65, and x < 2.88. y 052 12 x 2 1 24 x 52 12 x ( x 2 2) Graphical support: [ 2 2, 4] by [ 2 20, 20] (a) ( 2‘ , 2 0.53] and [0.65, 2.88] (b) [ 2 0.53, 0.65] and [2.88, ) (c) (0, 2) (d) ( 2‘ , 0) and (2, ) (e) Local maxima: ( 2 0.53, 2.45) and (2.88, 16.23);local minimum: (0.65, 2 0.68)
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Business Calc Homework w answers_Part_29 - Section 4.3 2x...

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