Solution-What is the domain of the function s

What is the domain of the function s

Reference no: EM131026908

Let s be the function that associates with each natural number the sum of its distinct natural number factors. For example,
s(6) = 1 + 2 + 3 + 6
= 12.

1. Calculate s(k) for each natural number k from 1 through 15.

2. Are the numbers SQRT(5), PI, and -6 in the domain of the function s?

What is the domain of the function s?

3. Does there exist a natural number n such that s(n) = 5? Justify your conclusion.

4. Is it possible to find two different natural numbers m and n such that s(m) = s(n)? Explain.

5. Are the following statements true or false? Justify your claim.

1. For each m belonging to Natural numbers, there exists a natural number n such that s(n) = m.

2. For all m and n belonging to natural numbers, if m != n, then s(m) != s(n).

Reference no: EM131026908

Questions Cloud

Find the normalization constants for the two wave functions : Show that the resulting wave functions are orthogonal to each other.

Basic marketing plan for a product : Basic marketing plan for a product with which you are familiar. You only need to address/focus on one market segment for this marketing plan assignment. This will be a formal paper. It should end up at 6-10 pages in length - not counting the cover pa..

Prepare assignment and ppt-managing people and organization : I just want to confirm that can you please prepare the assignment and PPT for me in a week - The subject is managing people and organization - You are to research your topic in more depth providing evidence of independent research.

Write the chemical equation for the equilibrium : The value of Ka for nitrous acid (HNO2) at 25 °C is given in Appendix D. Write the chemical equation for the equilibrium that corresponds to Ka. By using the value of Ka, calculate ?G° for the dissociation of nitrous acid in aqueous solution.

What is the domain of the function s : Calculate s(k) for each natural number k from 1 through 15.

How much does the disk slow down the cpu : . As one goes down the five-level memory hierarchy discussed in the text, the access time increases. Make a reasonable guess about the ratio of the access time of optical disk to that of registry memory. Assume the disk is already on-line.

What type of variable is the number of robberies reported : What type of variable is the number of robberies reported in your city? What is the chart called when the paired data (the dependent and independent variables) are plotted?

Description of the specific line of business : What is the business? This doesn't need to be a company name but rather a description of the specific line of business to be undertaken in this other country.

Determine the appropriate descriptive statistics : Determine the appropriate descriptive statistics. For normally distributed data use the mean and standard deviation. For significantly skewed data use the median and interquartile range.

User Account

All Pages

What is the domain of the function s

Reference no: EM131026908

Reference no: EM131026908

Questions Cloud

Reviews

Write a Review

Algebra Questions & Answers

Using factor method for the quadratic equation

Write an equation that illustrates the situation

What are the steps for solving an equation show an example

Solve the formula for following variable

Question regarding time saved

Set up the objective function and constraints

Simplify the expression

Use compound interest to find the amount

Find the cost of a chocolate bar

Compound inequality in interval notation

What are the properties of logs

Compute the dimension of the linear subspace spanned by set

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT