Explanation Given: The number of offspring per female per day is approximately f ( p ) = ( 34 − 0.612 p ) p − 0.658 Calculation: f ( 15 ) = ( 34 − 0.612 ( 15 ) ) ( 15 ) − 0.658 =4 .177666126 f ( p ) = ( 34 − 0.612 p ) p − 0.658 f ( p ) = 34 p − 0.658 − 0.612 p 0.342 f ′ ( p ) = 34 ( − 0 To determine (b) To estimate: The decrease in daily offspring per female when p is increased from 15 to 16 and is it larger or smaller than the actual value f ( 16 ) − f ( 15 ) To determine (c) To plot: f for 5 ≤ p ≤ 25 and f ′ ( p ) To verify: f ( p ) is decreasing function of p

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Equations and inequalities describe the relationship between two mathematical expressions.

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Question

Chapter 3.4, Problem 46E

To determine

(a)

To calculate:

f(15) and f′(15)

To determine

(b)

To estimate:

The decrease in daily offspring per female when p is increased from 15 to 16 and is it larger or smaller than the actual value f(16)−f(15)

To determine

(c)

To plot: f for 5≤p≤25 and f′(p)

To verify:

f(p) is decreasing function of p

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Chapter 3.4, Problem 45E

Chapter 3.4, Problem 47E

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(a) To calculate: f ( 15 ) and f ′ ( 15 )

Solution Summary: The author calculates the decrease in daily offspring per female per day when p is increased from 15 to 16.

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(a)

To calculate:

f(15) and f′(15)

(b)

To estimate:

The decrease in daily offspring per female when p is increased from 15 to 16 and is it larger or smaller than the actual value f(16)−f(15)

(c)

To plot: f for 5≤p≤25 and f′(p)

To verify:

f(p) is decreasing function of p

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Chapter 3 Solutions

(a) To calculate: f ( 15 ) and f ′ ( 15 )

Solution Summary: The author calculates the decrease in daily offspring per female per day when p is increased from 15 to 16.

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(a) To calculate: f(15) and f′(15)

(b) To estimate: The decrease in daily offspring per female when p is increased from 15 to 16 and is it larger or smaller than the actual value f(16)−f(15)

(c) To plot: f for 5≤p≤25 and f′(p) To verify: f(p) is decreasing function of p

Want to see the full answer?

Chapter 3 Solutions

(a)

To calculate:

f(15) and f′(15)

(b)

To estimate:

The decrease in daily offspring per female when p is increased from 15 to 16 and is it larger or smaller than the actual value f(16)−f(15)

(c)

To plot: f for 5≤p≤25 and f′(p)

To verify:

f(p) is decreasing function of p