Proof of continuous function

Assignment Help Mathematics
Reference no: EM13122315

Let n >= 0 be an integer, and for each 0 <= i <= n let c_i be a real number. Let P: R-->R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable, a typical example is P(x)=6x^4-3x^2+4. Show that P is continuous.

Reference no: EM13122315

Questions Cloud

Level of confidence statistician use-constructing interval : What level of confidence did the statistician use in constructing this interval? Explain carefully, showing all steps in your reasoning. Hint: sample proportion is the midpoint of the stated confidence interval.
Explain how many shirts must gina sell to break even : If Gina sells 20 shirts, illustrate what will her total revenue be? Illustrate what will her total variable cost be? Explain how many shirts must Gina sell to break even? Illustrate what is the total revenue for this?
Probability based on random selection : Probability Based on Random Selection, One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in Box I.
Determining topological limit of a function : Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
Proof of continuous function : Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
Which club would you recommend for keisha : She is considering joining a club that allows DVDs to be downloaded from a members-only Web site but can't decide which membership offers the best deal. Given the cost information below, which club would you recommend for Keisha?
Find the probability that clair will win the third game : Find the probability that Clair will win the third game in the next series of games palyed against Helen.
What minimum qualifying score should be set : Normal distribution with average 500 and SD 100. A college wants their students to be in the top 12.5% for verbal aptitude. What minimum qualifying score should they set?
Which element of the promotional mix should have relied : According to the AIDA model, to create attention for this more convenient and less expensive way to mail packages through UPS, its marketing department should have relied on which element of the promotional mix?

Reviews

Write a Review

Mathematics Questions & Answers

  P value approach to hypothesis testing

Either use the p-value approach to hypothesis testing or use the significance level approach with α = .05.

  Determine the probability using normal distribution

Determine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation

  Probability jill crossed the finish line

Jack and Jill ran a 200 meter race. Jill ran the race in 25 seconds and won by 5 meters; that is Jack had run only 195 meters when Jill crossed the finish line.

  Determine the equation of the straight line from

Determine the equation of the Straight line from the given data - Find the equation of the indicated curve, subject to the given conditions, Sketch the curve

  Find the critical value for this hypothesis test

Find the critical value for this hypothesis test.

  Find probability of drawing the following card

Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card

  Explain clarification of probability distribution

Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.

  Find mean and variance explained in solution

Mean and variance explained in this solution. A school is sending 11 children to a camp. If 25% of the children in the school are first graders

  Find the equation of the rectangular hyperbola

Prepare the equation of the rectangular hyperbola - Find the equation of the rectangular hyperbola

  Linear function of a spring

The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..

  Solve using simplex method

Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15

  Find the cost of the shortest length of carpet

Find the cost of the shortest length of carpet.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd