unction area = calculateLakeArea() % User input: width and segment heights (h) width = input('Enter the width of the lake: '); numSegments = input('Enter the number of segments: '); h = zeros(1, numSegments); for i = 1:numSegments h(i) = input(['Enter the height of segment ' num2str(i) ': ']); end % Define the function that represents the shape of the lake % Modify the function 'f' according to the actual shape of the lake f = @(x) x.^2; % Example function: x^2 % Initialize variables a = 0; % Start of the interval b = width; % End of the interval % Apply the trapezoidal rule x = linspace(a, b, numSegments + 1); % Generate x values % Evaluate y values
function area = calculateLakeArea()
% User input: width and segment heights (h)
width = input('Enter the width of the lake: ');
numSegments = input('Enter the number of segments: ');
h = zeros(1, numSegments);
for i = 1:numSegments
h(i) = input(['Enter the height of segment ' num2str(i) ': ']);
end
% Define the function that represents the shape of the lake
% Modify the function 'f' according to the actual shape of the lake
f = @(x) x.^2; % Example function: x^2
% Initialize variables
a = 0; % Start of the interval
b = width; % End of the interval
% Apply the trapezoidal rule
x = linspace(a, b, numSegments + 1); % Generate x values
% Evaluate y values
y = zeros(size(x));
for i = 1:numSegments
y(i) = f(x(i));
y(i+1) = f(x(i+1));
end
% Calculate the area
area = sum((h + circshift(h, -1)) .* (y + circshift(y, -1))) / 2;
% Display the result
disp(['The surface area of the lake is: ' num2str(area)]);
end
this programming is using matlab. when i input the widht and each value, i have a problem at the calculating the area, can you help me fix it.
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