MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Textbook Question
Chapter 4, Problem 21P
The equation of a circle in a plane with radius R and a center at point (x0, y0) is given by:
(x-x0)2+(y-y0)2=R2 The equation can also be written in the form:
-2x0x-2y0y+c=- (x2+y2) where c =x20+ y20-R2 Given the coordinates of three points (x1, y1) (x2, y2), and (x3, y3) it is possible to determine the radius and the coordinates of the center of the circ le that passes through the three points. This is done by substituting the coordinate of each of the points in the equation and solving the system of three linear equations for x0, y0, and c.
Write a program in a script file that calculates the coordinates of the center and the radius of a circle that passes through three given points. When executed the program asks the user to enter the coordinates of the three points. The program then calculates the center and radius and displays the results in the following format: “The coordinates of the center are (xx.x, xx.x) and the radius is xx.x.”, where xx.x stands for the calculated quantities rounded to the nearest tenth. Execute the program entering the following three points: (11.5, 5). (3.2, 8.6). and (-4.5, -6.8).
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Chapter 4 Solutions
MATLAB: An Introduction with Applications
Ch. 4 - Prob. 1PCh. 4 - The altitude, h, as a function of air pressure can...Ch. 4 - Write a MATLAB program that determines the radius,...Ch. 4 - Radioactive decay can be modeled by the equation...Ch. 4 - A fuel tank is made of a half cylinder (r =14 in.)...Ch. 4 - A 300-lb garage door is being opened by pulling on...Ch. 4 - Write a MATLAB program in a script file that...Ch. 4 - The reduction of the amount of medication in the...Ch. 4 - The value of a saving account, V, after t years is...Ch. 4 - The electricity supply cables of the three houses...
Ch. 4 - Early explorers often estimated altitude by...Ch. 4 - An isosceles triangle sign is designed to have a...Ch. 4 - The angle ? at which a viewer sees the picture on...Ch. 4 - A 12-ft (144-in.) wire is cut into eight pieces...Ch. 4 - A person at point A spots a child in trouble at...Ch. 4 - The maximum stress smax at the edge of a hole...Ch. 4 - The airplane shown is flying at a constant speed...Ch. 4 - The intrinsic electrical conductivity a of a...Ch. 4 - The pressure drop ?p in pascals (Pa) for a fluid...Ch. 4 - The net heat exchange by radiation from plate 1...Ch. 4 - The equation of a circle in a plane with radius R...Ch. 4 - A truss is a structure made of members joined at...Ch. 4 - A truss is a Structure made of members joined at...Ch. 4 - The graph of the function f(x)=ax3+bx2+cx+d passes...Ch. 4 - The graph of the function f(x)=ax4+bx3+cx2+dx+e...Ch. 4 - The surface of many airfoils can be described with...Ch. 4 - During a golf match, a certain number of points...Ch. 4 - The dissolution of copper sulfide in aqueous...Ch. 4 - The heat index HI, calculated from the air...Ch. 4 - The stress intensity factor K at a crack is given...
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