(a) Answer The value of the derivative of the rabbit is zero in both cases. Explanation The number of rabbits is at its highest on day 40 and it is also clear from the graph the derivative at day 40 is zero. Again, it is clear from the graph that the number of rabbits approaches its lowest value as x increases also approaches zero. Therefore, the value of the derivative of the rabbit is zero in both cases. (b) To determine To find: the value of the derivative of the rabbit population in both condition. Answer The required graph is shown below. Explanation Given: The general equation is y = ( x − a ) ( x + b ) . As it is clear from the figure (b) the derivative reaches a maximum on day 20 and it is also clear from the graph (a) the population of rabbits is 1700 . Again, it is clear from the graph (b) the derivative a minimum on around day 63 . On that day, according to graph (a), the population of rabbits is about 1300 . Therefore, the rabbit size of the rabbit population are 1700 and 1300 respectively.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 3.1, Problem 23E

(a)

To determine

To find: the value of the derivative of the rabbit population in both condition.

(a)

Expert Solution

Answer to Problem 23E

The value of the derivative of the rabbit is zero in both cases.

Explanation of Solution

The number of rabbits is at its highest on day $40$ and it is also clear from the graph the derivative at day $40$ is zero.

Again, it is clear from the graph that the number of rabbits approaches its lowest value as $x$ increases also approaches zero.

Therefore, the value of the derivative of the rabbit is zero in both cases.

(b)

To determine

To find: the value of the derivative of the rabbit population in both condition.

(b)

Expert Solution

Answer to Problem 23E

The required graph is shown below.

Explanation of Solution

Given:

The general equation is $y=(x−a)(x+b)$ .

As it is clear from the figure (b) the derivative reaches a maximum on day $20$ and it is also clear from the graph (a) the population of rabbits is $1700$ .

Again, it is clear from the graph (b) the derivative a minimum on around day $63$ . On that day, according to graph (a), the population of rabbits is about $1300$ .

Therefore, the rabbit size of the rabbit population are $1700$ and $1300$ respectively.

Chapter 3.1, Problem 22E

Chapter 3.1, Problem 24E

Chapter 3 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 3.1 - Prob. 1QR Ch. 3.1 - Prob. 2QR Ch. 3.1 - Prob. 3QR Ch. 3.1 - Prob. 4QR Ch. 3.1 - Prob. 5QR Ch. 3.1 - Prob. 6QR Ch. 3.1 - Prob. 7QR Ch. 3.1 - Prob. 8QR Ch. 3.1 - Prob. 9QR Ch. 3.1 - Prob. 10QR

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.2 - Prob. 1QR Ch. 3.2 - Prob. 2QR Ch. 3.2 - Prob. 3QR Ch. 3.2 - Prob. 4QR Ch. 3.2 - Prob. 5QR Ch. 3.2 - 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Prob. 57RE Ch. 3 - Prob. 58RE Ch. 3 - Prob. 59RE Ch. 3 - Prob. 60RE Ch. 3 - Prob. 61RE Ch. 3 - Prob. 62RE Ch. 3 - Prob. 63RE Ch. 3 - Prob. 64RE Ch. 3 - Prob. 65RE Ch. 3 - Prob. 66RE Ch. 3 - Prob. 67RE Ch. 3 - Prob. 68RE Ch. 3 - Prob. 69RE Ch. 3 - Prob. 70RE Ch. 3 - Prob. 71RE Ch. 3 - Prob. 72RE Ch. 3 - Prob. 73RE Ch. 3 - Prob. 74RE Ch. 3 - Prob. 75RE Ch. 3 - Prob. 76RE Ch. 3 - Prob. 77RE Ch. 3 - Prob. 78RE Ch. 3 - Prob. 79RE Ch. 3 - Prob. 80RE Ch. 3 - Prob. 81RE Ch. 3 - Prob. 82RE Ch. 3 - Prob. 83RE

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