Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Find the approximations $ T_n $, $ M_n $, and $ S_n $ for $ n = 6 $ and 12. Then compute the corresponding errors $ E_T $, $ E_M $, and $ E_S $. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when $ n $ is doubled?

$ \displaystyle \int_0^2 x^4\ dx $

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

4 as $n$ is doubled.16 as $n$ is doubled.

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 7

Approximate Integration

Integration Techniques

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

Lectures

01:53

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

27:53

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

02:25

Find the approximations $ …

18:44

Find the approximations $T…

29:31

02:19

02:35

23:00

Find the approximations $L…

30:47

03:14

$27-28$ Find the approxima…

Problem 27: you should find the p m and s for andes equal to 6 and plough and find the corresponding errors to be careful. You are going to find a corresponding errors, not erobonds or estimate errors. You want to find the estimate errors. You can use this formula, those reform. He wants you to compute a corresponding dress, e t e m, and yes just i minus those resting, try to be careful and you should know how to compute the n s here. T m, and as here the 3 rules, just computes equal to 6 is equal to 12 point just compute. You should compute 6 times to look at the answer, and i will tell you how to compute this thing. How to compute, i i is equal to. I is equal to 0 to 2 x or is able to yeah. That'S just 5 set 2 point right. If your answer is close to this answer, if your approximation is as mat is closer to this answer, then you are correct. What happens when to the rest? I think the becomes smaller when it is double because you divided the whole interval into more pieces, so your approximation is more pre.

View More Answers From This Book

Find Another Textbook

01:08

andrew bashir and candy are trying to save money for birthday party if andre…

01:05

check by division method whether 27 is a factor of 9423

01:10

if 7:5 is in proportion to x :25 , then x is

02:07

subtract 5a + 7 b - 3 C from 2 a- 18b+ 8C

01:22

can you draw a chord of length of length 25 cm .why ?

06:25

After assuming the future demand, every company needs to determine when to p…

02:23

5to the power of x-3=7to the power of x+5 then find x

01:02

find the value of the following :(a power n ÷ a power n)