Develop a Matlab function mySimpson 38 that calculates I = fy(r)dr using the composite Simpson's 3/8 method for a set of discrete data points (zi, yi) that are equally spaced. If the number of subintervals is not divisible by 3 because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method. If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an appropriate error message. As input the function shall take the column vectors x and y that contain the data points. As output the function shall give the calculated integral I. You may call/use any function developed in recitation, homework, and/or exams.
Develop a Matlab function mySimpson 38 that calculates I = fy(r)dr using the composite Simpson's 3/8 method for a set of discrete data points (zi, yi) that are equally spaced. If the number of subintervals is not divisible by 3 because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method. If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an appropriate error message. As input the function shall take the column vectors x and y that contain the data points. As output the function shall give the calculated integral I. You may call/use any function developed in recitation, homework, and/or exams.
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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Matlab help, here is the problem statement and code i have so far
![function [I] = mySimpson38(x,y)
% [I] = mySimpson38(x,y)
% Input
% x,y: data points
% Output
% I: integral
N = length(x)-1;
if length(x) N=
length(y)
error("vectors x and y must have the same length"
end
if length(x) == 1
I = 0;
return;
end
if mod(N, 2)
else
end
I = myTrapezoidal(x(N:N+1) X(N:N+1));
N = N-1;
I = 0;
==
1
if mod (N, 3) == 2
h = x(2) - x(1)
I = I+h/3* (y(1) +4* sum(y (2:2:N))+2* sum(y(3:2: N-1))+y(N+1));
end
if mod (N, 3)
if mod (N, 3) == 1
h = x(2)
x(1);
I = I+h/3* (y(1)+4* sum(y (2:2:N))+2* sum(y(3:2:N-1))+y(N+1));
end
1)+y (N+1)));
end
end
h = x(2)x(1);
I = I + (3*h/8)*(y(1)+3*sum (y (2:3:N-1))+3* sum (y (2:3:N-1)) +2* sum(y (4:3:N-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa3769d6-5bdb-4366-8adb-dd8310df7605%2F62b7c4c5-5a78-4ac7-999b-dffdc872b5f0%2Fomwo8d29_processed.png&w=3840&q=75)
Transcribed Image Text:function [I] = mySimpson38(x,y)
% [I] = mySimpson38(x,y)
% Input
% x,y: data points
% Output
% I: integral
N = length(x)-1;
if length(x) N=
length(y)
error("vectors x and y must have the same length"
end
if length(x) == 1
I = 0;
return;
end
if mod(N, 2)
else
end
I = myTrapezoidal(x(N:N+1) X(N:N+1));
N = N-1;
I = 0;
==
1
if mod (N, 3) == 2
h = x(2) - x(1)
I = I+h/3* (y(1) +4* sum(y (2:2:N))+2* sum(y(3:2: N-1))+y(N+1));
end
if mod (N, 3)
if mod (N, 3) == 1
h = x(2)
x(1);
I = I+h/3* (y(1)+4* sum(y (2:2:N))+2* sum(y(3:2:N-1))+y(N+1));
end
1)+y (N+1)));
end
end
h = x(2)x(1);
I = I + (3*h/8)*(y(1)+3*sum (y (2:3:N-1))+3* sum (y (2:3:N-1)) +2* sum(y (4:3:N-
Transcribed Image Text:Develop a Matlab function mySimpson 38 that calculates I = f y(x)dx using the composite Simpson's 3/8 method
for a set of discrete data points (zi, y₁) that are equally spaced. If the number of subintervals is not divisible by 3
because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If
there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method.
If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If
the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single
interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an
appropriate error message.
As input the function shall take the column vectors x and y that contain the data points. As output the function shall
give the calculated integral I. You may call/use any function developed in recitation, homework, and/or exams.
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