Question: Consider the error formulas. | E |( b a ) 3 /12 n 2 [ max | f '' ( x )|], a x b

Consider the error formulas.

|E|(ba)3 /12n2 [max|f''(x)|],axb Trapezoidal Rule

|E|(ba)5 /180n4 [max|f(4)(x)|],axb Simpson's Rule

Use these to estimate the errors in approximating the integral, withn= 4,using the Trapezoidal Rule and Simpson's Rule.

04 (x2+6x)dx

Trapezoidal Rule:________

Simpson's Rule:_________

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

(12 points) Approximate the definite integral below for a - 4 by using a) Trapezoidal rule b) Simpson's rule ") Give a bound on the error of estimates for both methods in parts a and b.You may find...

Q:

How large should n be to guarantee that the Trapezoidal Rule approximation to 3 ( - 24 - 16x3 - 90x2 + 1x + 2) da is accurate to within 0.001. 5 n = How large should n be to guarantee that the...

Q:

You may find these formulas useful! n(n + 1) k = 2 *= 1 1 2 _n(n + 1)(2n +1) 6 k=1 k 3 m(n + 1)12 2 The Trapezoidal Rule: 2 1 ( x o ) + 2f ( x 1 ) + 2f (x2) + ..+ 2/ (xm-1) + /(xml] where Ax _ -2 and...

Q:

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

7/4/23, 11:16 PM Homework 8.7-Anh Nguyen Use a table of integrals to determine tv7t+ 19 at. Click here to view page 1 of the integral table. " Click here to view page 2 of the integral table. 14...

Q:

Math 400 Assignment #3 -- Numerical Integration and Differentiation 1. For the function g x e x 2 2 Due: 6am April 09, 2016 use the centered difference formula with h 101 , 102 , , 1020 to create a...

Q:

Use the error formulas in Theorem 8.6 to find n such that the error in the approximation of the definite integral is less than or equal to 0.00001 using (a) The Trapezoidal Rule (b) Simpsons Rule....

Q:

Use the error formulas in Theorem 8.6 to estimate the errors in approximating the integral, with n = 4, using (a) The Trapezoidal Rule and (b) Simpsons Rule. THEOREM 8.6 Errors in the Trapezoidal...

Q:

Use the error formulas in Theorem 8.6 to estimate the errors in approximating the integral, with n = 4, using (a) The Trapezoidal Rule and (b) Simpsons Rule. THEOREM 8.6 Errors in the Trapezoidal...

Q:

In Exercises use the error formulas in Theorem 4.20 to estimate the errors in approximating the integral, with n = 4, using (a) The Trapezoidal Rule (b) Simpson's Rule. Data from in Theorem 4.20...

Q:

A 1.00-g sample of an alkaline earth metal chloride is treated with excess silver nitrate. All of the chloride is recovered as 1.38 g of silver chloride. Identify the metal.

Q:

Read the case study Relationship between quality management practices and innovation and Review for article: the link between innovation and quality management practices and also write about the...

Q:

Select all that apply What are three ways a company can increase its profitablity and rate of profit growth by expanding intemationally? Source activities where they are performed most efficiently...

Q:

Reston's Radiology Center (RRC) performs X-rays, ultrasounds, computer tomography (CT) scans, and magnetic resonance imaging (MRI). RRC has developed a reputation as a top radiology center in the...