Determining rational function

Reference no: EM13122625

Let R(t) be the field of rational functions. Answer the following (with proofs):

A. If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?

B. Find a function f>0 in R(t) for which no rational number r satisfies 0 < r < f.

Reference no: EM13122625

Questions Cloud

Graph of a linear function : The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces he can rent is given by the equation y = 200 - 4x.

What are the relevant tax issues : Because of Wyatt's loyalty, Julie would like him to have shares in the corporation. What are the relevant tax issues?

Identifying as well recognizing variations in sets : Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?

Corporations income tax liability : In each of the following independent situations, determine the corporation's income tax liability. Assume that all corporations use a calendar year for tax purposes and that the tax year involved is 2010.

Determining rational function : Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?

Calculate the hydronium ion concentration : Calculate the hydronium ion concentration and the pH when 25.0 mL of 0.50 M NH3 is mixed with 65.0 mL of 0.19 M HCl.

How is tax basis calculated : What is the economic and tax policy rationale regarding corporate formation? When will a transfer be deemed a taxable event? How is basis determined? What if assets are contributed to a corporation by a non shareholder such as a government entity?

Determine the dividends received deduction : In each of the following independent situations, determine the dividends received deduction. Assume that none of the corporate shareholders owns 20% or more of the stock in the corporations paying the dividends.

Graph theory-tree and tree structures : Trees can be used for many applications in computer science. One of these applications is decision-making, which is often used in the creation and analysis of databases.

User Account

All Pages