a. Answer The transformation of parent function f ( t ) = t 2 .is as below: Horizontal shift of 26.17 units to right. Vertical shrink of 0.03 units. Reflection about the t − axis. Vertical shrink of 126.5 units upwards. Explanation Give information: Given: N ( t ) = 0.03 ( t − 26.17 ) 2 + 126.5 . Calculation: The numbers N ( i n m i l l i o n s ) of house hold from 2000 to 2013 are given. Model for the given data is , N ( t ) = 0.03 ( t − 26.17 ) 2 + 126.5 Where t = 0 represents 2000 . The parent function of the given function f ( t ) = t 2 , To get the graph of y = f ( x − c ) , shifts graph of y = f ( x ) a distance c units to right. To get the graph of y = c f ( x ) , shrink graph of y = f ( x ) vertically by a factor of 0 < c < 1 . To get the graph of y = − f ( x ) , reflect the graph of y = f ( x ) about x − axis. To get the graph of y = f ( x ) + c , shift the graph of y = f ( x ) a distance c units upwards. Thus, transformation of N ( t ) = − 0.03 ( t − 26.17 ) 2 + 126.5 from f ( t ) = t 2 is obtained by, Horizontal shift of 26.17 units to right. Vertical shrink of 0.03 units. Reflection about the t − axis. Vertical shrink of 126.5 units upwards. b. To determine To Graph: Model and given data in the same viewing window. Explanation Give information: Given: N ( t ) = 0.03 ( t − 26.17 ) 2 + 126.5 . Graph: Interpretation: Graph model and given data points using graphing utility is as above. c. To determine To calculate: Function so that t = 0 represents 2009 . Answer Required function is G ( t ) = − 0.03 ( t − 17.17 ) 2 + 126.5 Explanation Give information: Given: N ( t ) = 0.03 ( t − 26.17 ) 2 + 126.5 . Calculation: If t = 0 represents 2009 , then to fit the data there will be a horizontal shift of 9 u n i t s to the left and so the new functioncan be get from N ( t ) as, G ( t ) = N ( t + 9 ) G ( t ) = − 0.03 ( t − 26.17 ) 2 + 126.5 G ( t ) = − 0.03 ( t − 17.17 ) 2 + 126.5 Required new function is, G ( t ) = − 0.03 ( t − 17.17 ) 2 + 126.5

Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

See similar textbooks

Videos

Question

Chapter 1.4, Problem 65E

To determine

To identify:

The transformation of parent function $f(t)=t2$ .

Expert Solution

Answer to Problem 65E

The transformation of parent function $f(t)=t2$ .is as below:

Horizontal shift of $26.17$ units to right.
Vertical shrink of $0.03$ units.
Reflection about the $t−$ axis.
Vertical shrink of $126.5$ units upwards.

Explanation of Solution

Give information:

Given:

$N(t)=0.03(t−26.17)2+126.5$ .

Calculation:

The numbers $N(in millions)$ of house hold from $2000$ to $2013$ are given.

Model for the given data is ,

$N(t)=0.03(t−26.17)2+126.5$

Where

$t=0$ represents $2000$ .

The parent function of the given function $f(t)=t2$ ,

To get the graph of $y=f(x−c)$ , shifts graph of $y=f(x)$ a distance $c$ units to right.

To get the graph of $y=cf(x)$ , shrink graph of $y=f(x)$ vertically by a factor of $0<c<1$ .

To get the graph of $y=−f(x)$ , reflect the graph of $y=f(x)$ about $x−$ axis.

To get the graph of $y=f(x)+c$ , shift the graph of $y=f(x)$ a distance $c$ units upwards.

Thus, transformation of $N(t)=−0.03(t−26.17)2+126.5$ from $f(t)=t2$ is obtained by,

Horizontal shift of $26.17$ units to right.
Vertical shrink of $0.03$ units.
Reflection about the $t−$ axis.
Vertical shrink of $126.5$ units upwards.

To determine

To Graph:

Model and given data in the same viewing window.

Expert Solution

Explanation of Solution

Give information:

Given:

$N(t)=0.03(t−26.17)2+126.5$ .

Graph:

Precalculus with Limits: A Graphing Approach, Chapter 1.4, Problem 65E

Interpretation:

Graph model and given data points using graphing utility is as above.

To determine

To calculate:

Function so that $t=0$ represents $2009$ .

Expert Solution

Answer to Problem 65E

Required function is $G(t)=−0.03(t−17.17)2+126.5$

Explanation of Solution

Give information:

Given:

$N(t)=0.03(t−26.17)2+126.5$ .

Calculation:

If $t=0$ represents $2009$ , then to fit the data there will be a horizontal shift of $9 units$ to the left and so the new functioncan be get from $N(t)$ as,

$G(t)=N(t+9)G(t)=−0.03(t−26.17)2+126.5G(t)=−0.03(t−17.17)2+126.5$

Required new function is,

$G(t)=−0.03(t−17.17)2+126.5$

Chapter 1.4, Problem 64E

Chapter 1.4, Problem 66E

Chapter 1 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.1 - Prob. 58E Ch. 1.1 - Prob. 59E Ch. 1.1 - Prob. 60E Ch. 1.1 - Prob. 61E Ch. 1.1 - Prob. 62E Ch. 1.1 - Prob. 63E Ch. 1.1 - Prob. 64E Ch. 1.1 - Prob. 65E Ch. 1.1 - Prob. 66E Ch. 1.1 - Prob. 67E Ch. 1.1 - Prob. 68E Ch. 1.1 - Prob. 69E Ch. 1.1 - Prob. 70E Ch. 1.1 - Prob. 71E Ch. 1.1 - Prob. 72E Ch. 1.1 - Prob. 73E Ch. 1.1 - Prob. 74E Ch. 1.1 - Prob. 75E Ch. 1.1 - Prob. 76E Ch. 1.1 - Prob. 77E Ch. 1.1 - Prob. 78E Ch. 1.1 - Prob. 79E Ch. 1.1 - Prob. 80E Ch. 1.1 - Prob. 81E Ch. 1.1 - Prob. 82E Ch. 1.1 - Prob. 83E Ch. 1.1 - Prob. 84E Ch. 1.1 - Prob. 85E Ch. 1.1 - Prob. 86E Ch. 1.1 - Prob. 87E Ch. 1.1 - Prob. 88E Ch. 1.1 - Prob. 89E Ch. 1.1 - Prob. 90E Ch. 1.1 - Prob. 91E Ch. 1.1 - Prob. 92E Ch. 1.1 - Prob. 93E Ch. 1.1 - Prob. 94E Ch. 1.1 - Prob. 95E Ch. 1.1 - Prob. 96E Ch. 1.1 - Prob. 97E Ch. 1.1 - Prob. 98E Ch. 1.1 - Prob. 99E Ch. 1.1 - Prob. 100E Ch. 1.1 - Prob. 101E Ch. 1.1 - Prob. 102E Ch. 1.1 - Prob. 103E Ch. 1.1 - Prob. 104E Ch. 1.1 - Prob. 105E Ch. 1.1 - Prob. 106E Ch. 1.1 - Prob. 107E Ch. 1.1 - Prob. 108E Ch. 1.1 - Prob. 109E Ch. 1.1 - Prob. 110E Ch. 1.1 - Prob. 111E Ch. 1.1 - Prob. 112E Ch. 1.1 - Prob. 113E Ch. 1.1 - Prob. 114E Ch. 1.1 - Prob. 115E Ch. 1.1 - Prob. 116E Ch. 1.1 - Prob. 117E Ch. 1.1 - Prob. 118E Ch. 1.1 - Prob. 119E Ch. 1.1 - Prob. 120E Ch. 1.1 - Prob. 121E Ch. 1.1 - Prob. 122E Ch. 1.1 - Prob. 123E Ch. 1.1 - Prob. 124E Ch. 1.1 - Prob. 125E Ch. 1.1 - Prob. 126E Ch. 1.2 - Prob. 1E Ch. 1.2 - Prob. 2E Ch. 1.2 - Prob. 3E Ch. 1.2 - Prob. 4E Ch. 1.2 - Prob. 5E Ch. 1.2 - Prob. 6E Ch. 1.2 - Prob. 7E Ch. 1.2 - Prob. 8E Ch. 1.2 - Prob. 9E Ch. 1.2 - Prob. 10E Ch. 1.2 - Prob. 11E Ch. 1.2 - Prob. 12E Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Prob. 16E Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - Prob. 19E Ch. 1.2 - Prob. 20E Ch. 1.2 - Prob. 21E Ch. 1.2 - Prob. 22E Ch. 1.2 - Prob. 23E Ch. 1.2 - Prob. 24E Ch. 1.2 - Prob. 25E Ch. 1.2 - Prob. 26E Ch. 1.2 - Prob. 27E Ch. 1.2 - Prob. 28E Ch. 1.2 - Prob. 29E Ch. 1.2 - Prob. 30E Ch. 1.2 - Prob. 31E Ch. 1.2 - Prob. 32E Ch. 1.2 - Prob. 33E Ch. 1.2 - Prob. 34E Ch. 1.2 - Prob. 35E Ch. 1.2 - Prob. 36E Ch. 1.2 - Prob. 37E Ch. 1.2 - Prob. 38E Ch. 1.2 - Prob. 39E Ch. 1.2 - Prob. 40E Ch. 1.2 - Prob. 41E Ch. 1.2 - Prob. 42E Ch. 1.2 - Prob. 43E Ch. 1.2 - Prob. 44E Ch. 1.2 - Prob. 45E Ch. 1.2 - Prob. 46E Ch. 1.2 - Prob. 47E Ch. 1.2 - Prob. 48E Ch. 1.2 - Prob. 49E Ch. 1.2 - Prob. 50E Ch. 1.2 - Prob. 51E Ch. 1.2 - Prob. 52E Ch. 1.2 - Prob. 53E Ch. 1.2 - Prob. 54E Ch. 1.2 - Prob. 55E Ch. 1.2 - Prob. 56E Ch. 1.2 - Prob. 57E Ch. 1.2 - Prob. 58E Ch. 1.2 - Prob. 59E Ch. 1.2 - Prob. 60E Ch. 1.2 - Prob. 61E Ch. 1.2 - Prob. 62E Ch. 1.2 - Prob. 63E Ch. 1.2 - Prob. 64E Ch. 1.2 - Prob. 65E Ch. 1.2 - Prob. 66E Ch. 1.2 - Prob. 67E Ch. 1.2 - Prob. 68E Ch. 1.2 - Prob. 69E Ch. 1.2 - Prob. 70E Ch. 1.2 - Prob. 71E Ch. 1.2 - Prob. 72E Ch. 1.2 - Prob. 73E Ch. 1.2 - Prob. 74E Ch. 1.2 - Prob. 75E Ch. 1.2 - Prob. 76E Ch. 1.2 - Prob. 77E Ch. 1.2 - Prob. 78E Ch. 1.2 - Prob. 79E Ch. 1.2 - Prob. 80E Ch. 1.2 - Prob. 81E Ch. 1.2 - Prob. 82E Ch. 1.2 - Prob. 83E Ch. 1.2 - Prob. 84E Ch. 1.2 - Prob. 85E Ch. 1.2 - Prob. 86E Ch. 1.2 - Prob. 87E Ch. 1.2 - Prob. 88E Ch. 1.2 - Prob. 89E Ch. 1.2 - Prob. 90E Ch. 1.2 - Prob. 91E Ch. 1.2 - Prob. 92E Ch. 1.2 - Prob. 93E Ch. 1.2 - Prob. 94E Ch. 1.2 - Prob. 95E Ch. 1.2 - Prob. 96E Ch. 1.3 - Prob. 1E Ch. 1.3 - Prob. 2E Ch. 1.3 - Prob. 3E Ch. 1.3 - Prob. 4E Ch. 1.3 - Prob. 5E Ch. 1.3 - Prob. 6E Ch. 1.3 - Prob. 7E Ch. 1.3 - Prob. 8E Ch. 1.3 - Prob. 9E Ch. 1.3 - Prob. 10E Ch. 1.3 - Prob. 11E Ch. 1.3 - Prob. 12E Ch. 1.3 - Prob. 13E Ch. 1.3 - Prob. 14E Ch. 1.3 - Prob. 15E Ch. 1.3 - Prob. 16E Ch. 1.3 - Prob. 17E Ch. 1.3 - Prob. 18E Ch. 1.3 - Prob. 19E Ch. 1.3 - Prob. 20E Ch. 1.3 - Prob. 21E Ch. 1.3 - Prob. 22E Ch. 1.3 - Prob. 23E Ch. 1.3 - Prob. 24E Ch. 1.3 - Prob. 25E Ch. 1.3 - Prob. 26E Ch. 1.3 - Prob. 27E Ch. 1.3 - Prob. 28E Ch. 1.3 - Prob. 29E Ch. 1.3 - Prob. 30E Ch. 1.3 - Prob. 31E Ch. 1.3 - Prob. 32E Ch. 1.3 - Prob. 33E Ch. 1.3 - Prob. 34E Ch. 1.3 - Prob. 35E Ch. 1.3 - Prob. 36E Ch. 1.3 - Prob. 37E Ch. 1.3 - Prob. 38E Ch. 1.3 - Prob. 39E Ch. 1.3 - Prob. 40E Ch. 1.3 - Prob. 41E Ch. 1.3 - Prob. 42E Ch. 1.3 - Prob. 43E Ch. 1.3 - Prob. 44E Ch. 1.3 - Prob. 45E Ch. 1.3 - Prob. 46E Ch. 1.3 - Prob. 47E Ch. 1.3 - Prob. 48E Ch. 1.3 - Prob. 49E Ch. 1.3 - Prob. 50E Ch. 1.3 - Prob. 51E Ch. 1.3 - Prob. 52E Ch. 1.3 - Prob. 53E Ch. 1.3 - Prob. 54E Ch. 1.3 - Prob. 55E Ch. 1.3 - Prob. 56E Ch. 1.3 - Prob. 57E Ch. 1.3 - Prob. 58E Ch. 1.3 - Prob. 59E Ch. 1.3 - Prob. 60E Ch. 1.3 - Prob. 61E Ch. 1.3 - Prob. 62E Ch. 1.3 - Prob. 63E Ch. 1.3 - Prob. 64E Ch. 1.3 - Prob. 65E Ch. 1.3 - Prob. 66E Ch. 1.3 - Prob. 67E Ch. 1.3 - Prob. 68E Ch. 1.3 - Prob. 69E Ch. 1.3 - Prob. 70E Ch. 1.3 - Prob. 71E Ch. 1.3 - Prob. 72E Ch. 1.3 - Prob. 73E Ch. 1.3 - Prob. 74E Ch. 1.3 - Prob. 75E Ch. 1.3 - Prob. 76E Ch. 1.3 - Prob. 77E Ch. 1.3 - Prob. 78E Ch. 1.3 - Prob. 79E Ch. 1.3 - Prob. 80E Ch. 1.3 - Prob. 81E Ch. 1.3 - Prob. 82E Ch. 1.3 - Prob. 83E Ch. 1.3 - Prob. 84E Ch. 1.3 - Prob. 85E Ch. 1.3 - Prob. 86E Ch. 1.3 - Prob. 87E Ch. 1.3 - Prob. 88E Ch. 1.3 - Prob. 89E Ch. 1.3 - Prob. 90E Ch. 1.3 - Prob. 91E Ch. 1.3 - Prob. 92E Ch. 1.3 - Prob. 93E Ch. 1.3 - Prob. 94E Ch. 1.3 - Prob. 95E Ch. 1.3 - Prob. 96E Ch. 1.3 - Prob. 97E Ch. 1.3 - Prob. 98E Ch. 1.3 - Prob. 99E Ch. 1.3 - Prob. 100E Ch. 1.3 - Prob. 101E Ch. 1.3 - Prob. 102E Ch. 1.3 - Prob. 103E Ch. 1.3 - Prob. 104E Ch. 1.3 - Prob. 105E Ch. 1.3 - Prob. 106E Ch. 1.3 - Prob. 107E Ch. 1.3 - Prob. 108E Ch. 1.3 - Prob. 109E Ch. 1.3 - Prob. 110E Ch. 1.3 - Prob. 111E Ch. 1.3 - Prob. 112E Ch. 1.3 - Prob. 113E Ch. 1.3 - Prob. 114E Ch. 1.3 - Prob. 115E Ch. 1.3 - Prob. 116E Ch. 1.3 - Prob. 117E Ch. 1.3 - Prob. 118E Ch. 1.3 - Prob. 119E Ch. 1.3 - Prob. 120E Ch. 1.4 - Prob. 1E Ch. 1.4 - Prob. 2E Ch. 1.4 - Prob. 3E Ch. 1.4 - Prob. 4E Ch. 1.4 - Prob. 5E Ch. 1.4 - Prob. 6E Ch. 1.4 - Prob. 7E Ch. 1.4 - Prob. 8E Ch. 1.4 - Prob. 9E Ch. 1.4 - Prob. 10E Ch. 1.4 - Prob. 11E Ch. 1.4 - Prob. 12E Ch. 1.4 - Prob. 13E Ch. 1.4 - Prob. 14E Ch. 1.4 - Prob. 15E Ch. 1.4 - Prob. 16E Ch. 1.4 - Prob. 17E Ch. 1.4 - Prob. 18E Ch. 1.4 - Prob. 19E Ch. 1.4 - Prob. 20E Ch. 1.4 - Prob. 21E Ch. 1.4 - Prob. 23E Ch. 1.4 - Prob. 24E Ch. 1.4 - Prob. 25E Ch. 1.4 - Prob. 26E Ch. 1.4 - Prob. 27E Ch. 1.4 - Prob. 28E Ch. 1.4 - Prob. 29E Ch. 1.4 - Prob. 30E Ch. 1.4 - Prob. 31E Ch. 1.4 - Prob. 32E Ch. 1.4 - Prob. 33E Ch. 1.4 - Prob. 34E Ch. 1.4 - Prob. 35E Ch. 1.4 - Prob. 36E Ch. 1.4 - Prob. 37E Ch. 1.4 - Prob. 38E Ch. 1.4 - Prob. 39E Ch. 1.4 - Prob. 40E Ch. 1.4 - Prob. 41E Ch. 1.4 - Prob. 42E Ch. 1.4 - Prob. 43E Ch. 1.4 - Prob. 44E Ch. 1.4 - Prob. 45E Ch. 1.4 - Prob. 46E Ch. 1.4 - Prob. 47E Ch. 1.4 - Prob. 48E Ch. 1.4 - Prob. 49E Ch. 1.4 - Prob. 50E Ch. 1.4 - Prob. 51E Ch. 1.4 - Prob. 52E Ch. 1.4 - Prob. 53E Ch. 1.4 - Prob. 54E Ch. 1.4 - Prob. 55E Ch. 1.4 - Prob. 56E Ch. 1.4 - Prob. 57E Ch. 1.4 - Prob. 58E Ch. 1.4 - Prob. 59E Ch. 1.4 - Prob. 60E Ch. 1.4 - Prob. 61E Ch. 1.4 - Prob. 62E Ch. 1.4 - Prob. 63E Ch. 1.4 - Prob. 64E Ch. 1.4 - Prob. 65E Ch. 1.4 - Prob. 66E Ch. 1.4 - Prob. 67E Ch. 1.4 - Prob. 68E Ch. 1.4 - Prob. 69E Ch. 1.4 - Prob. 70E Ch. 1.4 - Prob. 71E Ch. 1.4 - Prob. 72E Ch. 1.4 - Prob. 73E Ch. 1.4 - Prob. 74E Ch. 1.4 - Prob. 75E Ch. 1.4 - Prob. 76E Ch. 1.4 - Prob. 77E Ch. 1.4 - Prob. 78E Ch. 1.4 - Prob. 79E Ch. 1.4 - Prob. 80E Ch. 1.4 - Prob. 81E Ch. 1.4 - Prob. 82E Ch. 1.4 - Prob. 83E Ch. 1.4 - Prob. 84E Ch. 1.4 - Prob. 85E Ch. 1.4 - Prob. 86E Ch. 1.5 - Prob. 1E Ch. 1.5 - Prob. 2E Ch. 1.5 - Prob. 3E Ch. 1.5 - Prob. 4E Ch. 1.5 - Prob. 5E Ch. 1.5 - Prob. 6E Ch. 1.5 - Prob. 7E Ch. 1.5 - Prob. 8E Ch. 1.5 - Prob. 9E Ch. 1.5 - Prob. 10E Ch. 1.5 - Prob. 11E Ch. 1.5 - Prob. 12E Ch. 1.5 - Prob. 13E Ch. 1.5 - Prob. 14E Ch. 1.5 - Prob. 15E Ch. 1.5 - Prob. 16E Ch. 1.5 - Prob. 17E Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - Prob. 21E Ch. 1.5 - Prob. 22E Ch. 1.5 - Prob. 23E Ch. 1.5 - Prob. 24E Ch. 1.5 - Prob. 25E Ch. 1.5 - Prob. 26E Ch. 1.5 - Prob. 27E Ch. 1.5 - Prob. 28E Ch. 1.5 - Prob. 29E Ch. 1.5 - Prob. 30E Ch. 1.5 - Prob. 31E Ch. 1.5 - Prob. 32E Ch. 1.5 - Prob. 33E Ch. 1.5 - Prob. 34E Ch. 1.5 - Prob. 35E Ch. 1.5 - Prob. 36E Ch. 1.5 - Prob. 37E Ch. 1.5 - Prob. 38E Ch. 1.5 - Prob. 39E Ch. 1.5 - Prob. 40E Ch. 1.5 - Prob. 41E Ch. 1.5 - Prob. 42E Ch. 1.5 - Prob. 43E Ch. 1.5 - Prob. 44E Ch. 1.5 - Prob. 45E Ch. 1.5 - Prob. 46E Ch. 1.5 - Prob. 47E Ch. 1.5 - Prob. 48E Ch. 1.5 - Prob. 49E Ch. 1.5 - Prob. 50E Ch. 1.5 - Prob. 51E Ch. 1.5 - Prob. 52E Ch. 1.5 - Prob. 53E Ch. 1.5 - Prob. 54E Ch. 1.5 - Prob. 55E Ch. 1.5 - Prob. 56E Ch. 1.5 - Prob. 57E Ch. 1.5 - Prob. 58E Ch. 1.5 - Prob. 59E Ch. 1.5 - Prob. 60E Ch. 1.5 - Prob. 61E Ch. 1.5 - Prob. 62E Ch. 1.5 - Prob. 63E Ch. 1.5 - Prob. 64E Ch. 1.5 - Prob. 65E Ch. 1.5 - Prob. 66E Ch. 1.5 - Prob. 67E Ch. 1.5 - Prob. 68E Ch. 1.5 - Prob. 69E Ch. 1.5 - Prob. 70E Ch. 1.5 - Prob. 71E Ch. 1.5 - Prob. 72E Ch. 1.5 - Prob. 73E Ch. 1.5 - Prob. 74E Ch. 1.5 - Prob. 75E Ch. 1.5 - Prob. 76E Ch. 1.5 - Prob. 77E Ch. 1.5 - Prob. 78E Ch. 1.5 - Prob. 79E Ch. 1.5 - Prob. 80E Ch. 1.5 - Prob. 81E Ch. 1.5 - Prob. 82E Ch. 1.5 - Prob. 83E Ch. 1.5 - Prob. 84E Ch. 1.5 - Prob. 85E Ch. 1.5 - Prob. 86E Ch. 1.5 - Prob. 87E Ch. 1.5 - Prob. 88E Ch. 1.5 - Prob. 89E Ch. 1.5 - Prob. 90E Ch. 1.5 - Prob. 91E Ch. 1.5 - Prob. 92E Ch. 1.5 - Prob. 93E Ch. 1.5 - Prob. 94E Ch. 1.5 - Prob. 95E Ch. 1.5 - Prob. 96E Ch. 1.5 - Prob. 97E Ch. 1.5 - Prob. 98E Ch. 1.5 - Prob. 99E Ch. 1.5 - Prob. 100E Ch. 1.6 - Prob. 1E Ch. 1.6 - Prob. 2E Ch. 1.6 - Prob. 3E Ch. 1.6 - Prob. 4E Ch. 1.6 - Prob. 5E Ch. 1.6 - Prob. 6E Ch. 1.6 - Prob. 7E Ch. 1.6 - Prob. 8E Ch. 1.6 - Prob. 9E Ch. 1.6 - Prob. 10E Ch. 1.6 - Prob. 11E Ch. 1.6 - Prob. 12E Ch. 1.6 - Prob. 13E Ch. 1.6 - Prob. 14E Ch. 1.6 - Prob. 15E Ch. 1.6 - Prob. 16E Ch. 1.6 - Prob. 17E Ch. 1.6 - Prob. 18E Ch. 1.6 - Prob. 19E Ch. 1.6 - Prob. 20E Ch. 1.6 - Prob. 21E Ch. 1.6 - Prob. 22E Ch. 1.6 - Prob. 23E Ch. 1.6 - Prob. 24E Ch. 1.6 - Prob. 25E Ch. 1.6 - Prob. 26E Ch. 1.6 - Prob. 27E Ch. 1.6 - Prob. 28E Ch. 1.6 - Prob. 29E Ch. 1.6 - Prob. 30E Ch. 1.6 - Prob. 31E Ch. 1.6 - Prob. 32E Ch. 1.6 - Prob. 33E Ch. 1.6 - Prob. 34E Ch. 1.6 - Prob. 35E Ch. 1.6 - Prob. 36E Ch. 1.6 - Prob. 37E Ch. 1.6 - Prob. 38E Ch. 1.6 - Prob. 39E Ch. 1.6 - Prob. 40E Ch. 1.6 - Prob. 41E Ch. 1.6 - Prob. 42E Ch. 1.6 - Prob. 43E Ch. 1.6 - Prob. 44E Ch. 1.6 - Prob. 45E Ch. 1.6 - Prob. 46E Ch. 1.6 - Prob. 47E Ch. 1.6 - Prob. 48E Ch. 1.6 - Prob. 49E Ch. 1.6 - Prob. 50E Ch. 1.6 - Prob. 51E Ch. 1.6 - Prob. 52E Ch. 1.6 - Prob. 53E Ch. 1.6 - Prob. 54E Ch. 1.6 - Prob. 55E Ch. 1.6 - Prob. 56E Ch. 1.6 - Prob. 57E Ch. 1.6 - Prob. 58E Ch. 1.6 - Prob. 59E Ch. 1.6 - Prob. 60E Ch. 1.6 - Prob. 61E Ch. 1.6 - Prob. 62E Ch. 1.6 - Prob. 63E Ch. 1.6 - Prob. 64E Ch. 1.6 - Prob. 65E Ch. 1.6 - Prob. 66E Ch. 1.6 - Prob. 67E Ch. 1.6 - Prob. 68E Ch. 1.6 - Prob. 69E Ch. 1.6 - Prob. 70E Ch. 1.6 - Prob. 71E Ch. 1.6 - Prob. 72E Ch. 1.6 - Prob. 73E Ch. 1.6 - Prob. 74E Ch. 1.6 - Prob. 75E Ch. 1.6 - Prob. 76E Ch. 1.6 - Prob. 77E Ch. 1.6 - Prob. 78E Ch. 1.6 - Prob. 79E Ch. 1.6 - Prob. 80E Ch. 1.6 - Prob. 81E Ch. 1.6 - Prob. 82E Ch. 1.6 - Prob. 83E Ch. 1.6 - Prob. 84E Ch. 1.6 - Prob. 85E Ch. 1.6 - Prob. 86E Ch. 1.6 - Prob. 87E Ch. 1.6 - Prob. 88E Ch. 1.6 - Prob. 89E Ch. 1.6 - Prob. 90E Ch. 1.6 - Prob. 91E Ch. 1.6 - Prob. 92E Ch. 1.6 - Prob. 93E Ch. 1.6 - Prob. 94E Ch. 1.6 - Prob. 95E Ch. 1.6 - Prob. 96E Ch. 1.6 - Prob. 97E Ch. 1.6 - Prob. 98E Ch. 1.6 - Prob. 99E Ch. 1.6 - Prob. 100E Ch. 1.6 - Prob. 101E Ch. 1.6 - Prob. 102E Ch. 1.6 - Prob. 103E Ch. 1.6 - Prob. 104E Ch. 1.6 - Prob. 105E Ch. 1.6 - Prob. 106E Ch. 1.6 - Prob. 107E Ch. 1.6 - Prob. 108E Ch. 1.6 - Prob. 109E Ch. 1.6 - Prob. 110E Ch. 1.6 - Prob. 111E Ch. 1.6 - Prob. 112E Ch. 1.6 - Prob. 113E Ch. 1.6 - Prob. 114E Ch. 1.6 - Prob. 115E Ch. 1.6 - Prob. 116E Ch. 1.6 - Prob. 117E Ch. 1.6 - Prob. 118E Ch. 1.6 - Prob. 119E Ch. 1.6 - Prob. 120E Ch. 1.6 - Prob. 121E Ch. 1.6 - Prob. 122E Ch. 1.6 - Prob. 123E Ch. 1.6 - Prob. 124E Ch. 1.6 - Prob. 125E Ch. 1.6 - Prob. 126E Ch. 1.6 - Prob. 127E Ch. 1.6 - Prob. 128E Ch. 1.6 - Prob. 129E Ch. 1.6 - Prob. 130E Ch. 1.6 - Prob. 131E Ch. 1.6 - Prob. 132E Ch. 1.6 - Prob. 133E Ch. 1.6 - Prob. 134E Ch. 1.6 - Prob. 135E Ch. 1.6 - Prob. 136E Ch. 1.6 - Prob. 137E Ch. 1.6 - Prob. 138E Ch. 1.6 - Prob. 139E Ch. 1.6 - Prob. 140E Ch. 1.7 - Prob. 1E Ch. 1.7 - Prob. 2E Ch. 1.7 - Prob. 3E Ch. 1.7 - Prob. 4E Ch. 1.7 - Prob. 5E Ch. 1.7 - Prob. 6E Ch. 1.7 - Prob. 7E Ch. 1.7 - Prob. 8E Ch. 1.7 - Prob. 9E Ch. 1.7 - Prob. 10E Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1.7 - Prob. 35E Ch. 1.7 - Prob. 36E Ch. 1.7 - Prob. 37E Ch. 1.7 - Prob. 38E Ch. 1 - Prob. 1RE Ch. 1 - Prob. 2RE Ch. 1 - Prob. 3RE Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Prob. 11RE Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Prob. 16RE Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Prob. 41RE Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - Prob. 48RE Ch. 1 - Prob. 49RE Ch. 1 - Prob. 50RE Ch. 1 - Prob. 51RE Ch. 1 - Prob. 52RE Ch. 1 - Prob. 53RE Ch. 1 - Prob. 54RE Ch. 1 - Prob. 55RE Ch. 1 - Prob. 56RE Ch. 1 - Prob. 57RE Ch. 1 - Prob. 58RE Ch. 1 - Prob. 59RE Ch. 1 - Prob. 60RE Ch. 1 - Prob. 61RE Ch. 1 - Prob. 62RE Ch. 1 - Prob. 63RE Ch. 1 - Prob. 64RE Ch. 1 - Prob. 65RE Ch. 1 - Prob. 66RE Ch. 1 - Prob. 67RE Ch. 1 - Prob. 68RE Ch. 1 - Prob. 69RE Ch. 1 - Prob. 70RE Ch. 1 - Prob. 71RE Ch. 1 - Prob. 72RE Ch. 1 - Prob. 73RE Ch. 1 - Prob. 74RE Ch. 1 - Prob. 75RE Ch. 1 - Prob. 76RE Ch. 1 - Prob. 77RE Ch. 1 - Prob. 78RE Ch. 1 - Prob. 79RE Ch. 1 - Prob. 80RE Ch. 1 - Prob. 81RE Ch. 1 - Prob. 82RE Ch. 1 - Prob. 83RE Ch. 1 - Prob. 84RE Ch. 1 - Prob. 85RE Ch. 1 - Prob. 86RE Ch. 1 - Prob. 87RE Ch. 1 - Prob. 88RE Ch. 1 - Prob. 89RE Ch. 1 - Prob. 90RE Ch. 1 - Prob. 91RE Ch. 1 - Prob. 92RE Ch. 1 - Prob. 93RE Ch. 1 - Prob. 94RE Ch. 1 - Prob. 95RE Ch. 1 - Prob. 96RE Ch. 1 - Prob. 97RE Ch. 1 - Prob. 98RE Ch. 1 - Prob. 99RE Ch. 1 - Prob. 100RE Ch. 1 - Prob. 101RE Ch. 1 - Prob. 102RE Ch. 1 - Prob. 103RE Ch. 1 - Prob. 104RE Ch. 1 - Prob. 105RE Ch. 1 - Prob. 106RE Ch. 1 - Prob. 107RE Ch. 1 - Prob. 108RE Ch. 1 - Prob. 109RE Ch. 1 - Prob. 110RE Ch. 1 - Prob. 111RE Ch. 1 - Prob. 112RE Ch. 1 - Prob. 113RE Ch. 1 - Prob. 114RE Ch. 1 - Prob. 115RE Ch. 1 - Prob. 116RE Ch. 1 - Prob. 117RE Ch. 1 - Prob. 118RE Ch. 1 - Prob. 119RE Ch. 1 - Prob. 120RE Ch. 1 - Prob. 121RE Ch. 1 - Prob. 122RE Ch. 1 - Prob. 123RE Ch. 1 - Prob. 124RE Ch. 1 - Prob. 125RE Ch. 1 - Prob. 126RE Ch. 1 - Prob. 127RE Ch. 1 - Prob. 128RE Ch. 1 - Prob. 129RE Ch. 1 - Prob. 130RE Ch. 1 - Prob. 131RE Ch. 1 - Prob. 132RE Ch. 1 - Prob. 133RE Ch. 1 - Prob. 134RE Ch. 1 - Prob. 135RE Ch. 1 - Prob. 136RE Ch. 1 - Prob. 137RE Ch. 1 - Prob. 138RE Ch. 1 - Prob. 139RE Ch. 1 - Prob. 140RE Ch. 1 - Prob. 141RE Ch. 1 - Prob. 142RE Ch. 1 - Prob. 143RE Ch. 1 - Prob. 144RE Ch. 1 - Prob. 145RE Ch. 1 - Prob. 146RE Ch. 1 - Prob. 147RE Ch. 1 - Prob. 148RE Ch. 1 - Prob. 149RE Ch. 1 - Prob. 150RE Ch. 1 - Prob. 151RE Ch. 1 - Prob. 1CT Ch. 1 - Prob. 2CT Ch. 1 - Prob. 3CT Ch. 1 - Prob. 4CT Ch. 1 - Prob. 5CT Ch. 1 - Prob. 6CT Ch. 1 - Prob. 7CT Ch. 1 - Prob. 8CT Ch. 1 - Prob. 9CT Ch. 1 - Prob. 10CT Ch. 1 - Prob. 11CT Ch. 1 - Prob. 12CT Ch. 1 - Prob. 13CT Ch. 1 - Prob. 14CT Ch. 1 - Prob. 15CT Ch. 1 - Prob. 16CT Ch. 1 - Prob. 17CT Ch. 1 - Prob. 18CT Ch. 1 - Prob. 19CT Ch. 1 - Prob. 20CT

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.