a) In general, what is the minimum number of points required for a composite application composed of Simpson's 1/3 rule plus Simpson's 3/8 rule. b) Use the Simpson's 3/8 rule with a single application of Simpson's 1/3 rule at the end of the domain to integrate the function f(x) = 10 √√1 + (x4/6800)² between 3 and 12 using 18 points. Provide your answer accurate to 4 decimal places. c) Consider the data set below. x = 0 5 8 11 18 20 22] y = 20 32 41 21 35 52 42] Integrate y over the given x domain (using all the points) using the Trapezoidal rule and provide the answer accurate to 4 decimal places. Make sure you do the integration using the data values provided (ie. without using a function to describe the data).
a) In general, what is the minimum number of points required for a composite application composed of Simpson's 1/3 rule plus Simpson's 3/8 rule. b) Use the Simpson's 3/8 rule with a single application of Simpson's 1/3 rule at the end of the domain to integrate the function f(x) = 10 √√1 + (x4/6800)² between 3 and 12 using 18 points. Provide your answer accurate to 4 decimal places. c) Consider the data set below. x = 0 5 8 11 18 20 22] y = 20 32 41 21 35 52 42] Integrate y over the given x domain (using all the points) using the Trapezoidal rule and provide the answer accurate to 4 decimal places. Make sure you do the integration using the data values provided (ie. without using a function to describe the data).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Please use Matlab.
![a) In general, what is the minimum number of points required for a composite application composed of Simpson's 1/3 rule plus Simpson's
3/8 rule.
b) Use the Simpson's 3/8 rule with a single application of Simpson's 1/3 rule at the end of the domain to integrate the function
f(x) = 10 - √1 + (x4/6800)²
between 3 and 12 using 18 points. Provide your answer accurate to 4 decimal places.
c) Consider the data set below.
x = 0 5 8 11 18 20 22]
y = [20 32 41 21 35 52 42]
Integrate y over the given x domain (using all the points) using the Trapezoidal rule and provide the answer accurate to 4 decimal places.
Make sure you do the integration using the data values provided (ie. without using a function to describe the data).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27e50aa5-c7c7-46d5-b347-f68908563ab7%2Fb357a685-61d9-4a25-9077-eff4da915b4f%2Fjbomzho_processed.png&w=3840&q=75)
Transcribed Image Text:a) In general, what is the minimum number of points required for a composite application composed of Simpson's 1/3 rule plus Simpson's
3/8 rule.
b) Use the Simpson's 3/8 rule with a single application of Simpson's 1/3 rule at the end of the domain to integrate the function
f(x) = 10 - √1 + (x4/6800)²
between 3 and 12 using 18 points. Provide your answer accurate to 4 decimal places.
c) Consider the data set below.
x = 0 5 8 11 18 20 22]
y = [20 32 41 21 35 52 42]
Integrate y over the given x domain (using all the points) using the Trapezoidal rule and provide the answer accurate to 4 decimal places.
Make sure you do the integration using the data values provided (ie. without using a function to describe the data).
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