# the radius of the pupil for different values of brightness variable x . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 74E

a.

To determine

## To determine the radius of the pupil for different values of brightness variable x .

Expert Solution

The values of Radius of pupil for brightness variable x=1,10,100 are 2,1.66382,1.47606 respectively.

### Explanation of Solution

Given: The particular equation is,

Calculation:

Plug x=1 in R(x)=13+7x0.41+4x0.4

Plug x=10 in R(x)=13+7x0.41+4x0.4

R(10)=13+7(10)0.41+4(10)0.4         =13+17.583201+10.04754          =30.5832011.04754          =2.76832          =1.66382

Plug x=100 in R(x)=13+7x0.41+4x0.4

R(100)=13+7(100)0.41+4(100)0.4           =13+44.16701+25.23829          =57.1670126.23829           =2.17876          =1.47606

Thus, the values of Radius of pupil for brightness variable x=1,10,100 are 2,1.66382,1.47606 respectively.

b.

To determine

### To prepare a table for radius of different brightness values.

Expert Solution

The table of radius values for different brightness values: xR(x)12201.5934401.5356601.5071801.4891001.4760

### Explanation of Solution

The required table as shown below:

xR(x)12201.5934401.5356601.5071801.4891001.4760

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