Problem Statement The area under a curve can be estimated by breaking the x axis into increments, evaluating the function at a point inside that increment, and approximating the area under the curve in that increment as a rectangle. The figure below shows this approximation with an increment of 1 and the function being evaluated at the midpoint of the increment.
Problem Statement The area under a curve can be estimated by breaking the x axis into increments, evaluating the function at a point inside that increment, and approximating the area under the curve in that increment as a rectangle. The figure below shows this approximation with an increment of 1 and the function being evaluated at the midpoint of the increment.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Problem Statement
The area under a curve can be estimated by breaking the x axis into increments, evaluating the function at a point inside that increment, and approximating the area under the curve in that increment as a
rectangle. The figure below shows this approximation with an increment of 1 and the function being evaluated at the midpoint of the increment.
20
18
16
14
12
> 10
6
4
2
0.5
1
1.5
2.5
3
3.5
4
Given a range (upper and lower limits) and increment, use the midpoint approximation as shown above to estimate the area under the curve:
x² + 2*
y =
In (x)
You can assume that the increment given will evenly divide the range.
Variable List
% Inputs
% Xmin
the minimum limit of the range
the maximum limit of the range
% Xmax
% inc
the increment for the numerical approximation
% Outputs
% area
the final approximation of the area under the curve for the given
range
nmand Window
UTF-8

Transcribed Image Text:Inputs
This section is only needed when running the code in MATLAB. MATLAB Grader automatically creates these variables.
% Test Case 1
Xmin
2;
10;
Xmax
%3B
% Test case output:
inc =
% area = 823.4722
% % Test Case 2
% Xmin
2;
% Xmax =
10;
0.01;
% % Test case output:
% inc =
% % area = 870.0278
% % Test Case 3
% Xmin = 3;
% Xmax
% inc
% % Test case output:
8;
0.5;
% % area = 282.6901
Program
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