i want to calculate trapezoidal rule using matlab but the code a little bit wrong i think. can you try to fix it scale = input('Enter the map scale: '); unit_scale = input('Enter the unit of the scale: '); r = scale / unit_scale; % Define the function that represents the shape of the lake f = @(x) 1 / (1 + x); width = input('Enter the total width of the lake in units: '); n = input('Enter the number of segments, n: '); % Check if n is divisible by 2 while mod(n, 2) ~= 0 fprintf('\nEnter a valid n!'); n = input('\nEnter n as an even number: '); end h = width / n; % Initialize variables segmentLengths = zeros(1, n+1); fprintf('\n'); % Input length of each segment for i = 1:n+1 segmentLengths(i) = input('Enter the length for the segment in units: '); end % Apply the trapezoidal rule area = 0; for i = 1:n area = area + (segmentLengths(i) + segmentLengths(i+1)) * h / 2; end % Scale the area based on the map scale scaledArea = area * r; fprintf('\nThe surface area of the lake is: %.2f \n', scaledArea);
i want to calculate trapezoidal rule using matlab but the code a little bit wrong i think. can you try to fix it
scale = input('Enter the map scale: ');
unit_scale = input('Enter the unit of the scale: ');
r = scale / unit_scale;
% Define the function that represents the shape of the lake
f = @(x) 1 / (1 + x);
width = input('Enter the total width of the lake in units: ');
n = input('Enter the number of segments, n: ');
% Check if n is divisible by 2
while mod(n, 2) ~= 0
fprintf('\nEnter a valid n!');
n = input('\nEnter n as an even number: ');
end
h = width / n;
% Initialize variables
segmentLengths = zeros(1, n+1);
fprintf('\n');
% Input length of each segment
for i = 1:n+1
segmentLengths(i) = input('Enter the length for the segment in units: ');
end
% Apply the trapezoidal rule
area = 0;
for i = 1:n
area = area + (segmentLengths(i) + segmentLengths(i+1)) * h / 2;
end
% Scale the area based on the map scale
scaledArea = area * r;
fprintf('\nThe surface area of the lake is: %.2f \n', scaledArea);
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