(a) Explanation Given: The data of density ( y ) of species of insect for a period of x years. Calculation: The data of density ( y ) of species of insect for a period of x years is as follows: x 2 4 6 8 10 12 14 y 0.38 1.24 2.86 4.22 4.78 4.94 4.98 Table 1 To obtain the logistic function first turn on the calculator and set the [ WINDOW ] as shown below. Press the button [ STAT ] and the choose the option [ Edit ] as shown below. Press the button [ ENTER ] and set the data as shown below. Press the button [ STAT ] , shift to [ CALC ] and choose the option of [ Logistic ] as shown below (b) To determine The density of the species of insect f ( x ) for 5 days. (c) To determine The effect on the density of the species of the insects as the number of days increases.

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ISBN: 9780134696522

Author: HORNSBY, John, Lial, Margaret L., Rockswold, Gary K.

Publisher: Pearson Education, Inc.,

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Chapter 6.6, Problem 72E

(a)

To determine

The logistic function f(x) which models the data of density (y) of species of insect for a period of x years.

(b)

To determine

The density of the species of insect f(x) for 5 days.

(c)

To determine

The effect on the density of the species of the insects as the number of days increases.

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Chapter 6.6, Problem 71E

Chapter 6.6, Problem 1RBC

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The logistic function f ( x ) which models the data of density ( y ) of species of insect for a period of x years.

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The logistic function f(x) which models the data of density (y) of species of insect for a period of x years.

The density of the species of insect f(x) for 5 days.

The effect on the density of the species of the insects as the number of days increases.

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