The number of times the website is crashed when the number of visitors is 10 , 000 also calculates when visitors are 50 , 000 and 100 , 000 , if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows, c ( x ) = { 0.03 x + 2 if 0 ≤ x ≤ 50 0.05 x + 1 if x > 50 Where the average number of crashes in a day is represented by c ( x ) and x is the number of visitors in thousands.

Question

By considering appropriate series expansions, ex · ex²/2 . ¸²³/³ . . .. = = 1 + x + x² +…… when |x| < 1. By expanding each individual exponential term on the left-hand side and multiplying out, show that the coefficient of x 19 has the form 1/19!+1/19+r/s, where 19 does not divide s.

Answer 1

Question

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

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By considering appropriate series expansions, ex · ex²/2 . ¸²³/³ . . .. = = 1 + x + x² +…… when |x| < 1. By expanding each individual exponential term on the left-hand side and multiplying out, show that the coefficient of x 19 has the form 1/19!+1/19+r/s, where 19 does not divide s.

Let 1 1 r 1+ + + 2 3 + = 823 823s Without calculating the left-hand side, prove that r = s (mod 823³).

For each real-valued nonprincipal character X mod 16, verify that L(1,x) 0.

Answer 2

Question

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

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Answer 3

Question

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

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Answer 4

Question

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

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Answer 5

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 6

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 7

Chapter 1, Problem 29RE

(a)

To determine

To calculate: The number of times the website is crashed when the number of visitors is 10,000 also calculates when visitors are 50,000 and 100,000, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 8

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 9

(b)

To determine

The significance of the coefficient 0.03, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 10

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 11

(c)

To determine

To calculate: The number of visitors on the website on Friday when the website was eight times down, if the model for frequency of crashes as the function of website traffic (thousands of visits per day) observed by the tech services manager is as follows,

c(x)={0.03x+2 if 0≤x≤500.05x+1 if x>50

Where the average number of crashes in a day is represented by c(x) and x is the number of visitors in thousands.

Answer 12

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Solution Summary: The author calculates the number of times the website is crashed when the visitors are 10,000.

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