MATHEMATICS COLLEGE

The value of the Euler \phi function (\phi is the Greek letter phi) at the positive integer n is defined to be the number of positive integers less than or equal to n that are relativel prime to n, For example for n=14, we have {1, 3, 5, 9, 11, 13} are the positive integers less than or equal to 14 which are relatively prime to 14. Thus \phi (14) = 6.Find the following:\phi(9) = .\phi(15) = .\phi(75) =__.

Answers

Answer 1

Answer:

Answer:

$\bf \phi (9)=5$

$\bf \phi (15)=8$

$\bf \phi (75)=40$

Step-by-step explanation:

Positive integers relative primes to 9 which are less or equal than 9

{1,2,4,5,7}

$\bf \phi (9)=5$

Positive integers relative primes to 15 which are less or equal than 15

{1,2,4,7,8,11,13,14}

and

$\bf \phi (15)=8$

Positive integers relative primes to 75 which are less or equal than 75

{1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29,31,32,34,37,38,41,43,44,46,47,49,52,53,56,58,59,61,62,64,67,68,71,73,74}

and

$\bf \phi (75)=40$

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Answers

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Answers

Answer:

Just divide y by x for every single term, and if they get the same quotient, they are proportional.

For example:

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Q: Write expressions for each population if x represents the number of years
And What is the current population of dekalb?

Answers

Answer:

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Sycamores : 12,040 - 100x = F

Step-by-step explanation:

These expressions can be used to explain each population

X = number of years for both expression

F = Final population

Dekalb: 3500+40x = F

Sycamores : 12,040 - 100x = F

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Answers

Answer:

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126 - Obtuse

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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