ASSESSMENT – 7 (DUE DATE: ON OR BEFORE 5 PM ON TUE APR 30)

PLEASE FOLLOW INSTRUCTIONS BELOW CAREFULLY

(a) PLEASE SHOW ALL WORK – NO CREDIT WILL BE GIVEN IF NO WORK IS SHOWN.

(b) TYPE ASSESSMENT REPORT IN WORD OR LaTEX OR ANY EDIT- ING SOFTWARE AND SAVE AS PDF FORMAT FILE. EMAIL PDF FILE TO rferdand@ecok.edu. PLEASE USE YOUR ECU OUTLOOK EMAIL SO YOUR EMAIL DOES NOT END UP IN MY ECU SPAM FOLDER. HANDWRITTEN SUBMISSION OR OTHER FILE FORMATS WILL NOT BE ACCEPTED FOR A GRADE.

(c) PLEASE INCLUDE CODE AND OUTPUT WITH YOUR SUBMISSION FOR EACH QUESTION.

For Questions 1-4 below, write computer code in any programming language or mathematical

software to estimate

∫ 5

3

dx √

x2 − 4

using the given method. Then calculate the absolute and relative errors for each. Use exact

value p = 0.6044:

1. Composite Midpoint Rule with N = 8.

2. Composite Trapezoidal Rule with N = 6.

3. Composite Simpson’s Rule with N = 8.

4. Romberg Integration with N = 4.

1