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Geng2050 Q1

The document contains a series of problems and solutions related to engineering applications, primarily using MATLAB for calculations and plotting. It includes tasks such as computing values, plotting graphs, finding roots of polynomials, and solving linear equations. Each problem is clearly numbered and demonstrates various mathematical concepts relevant to the course GENG 2050.

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tiffy252525
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11 views3 pages

Geng2050 Q1

The document contains a series of problems and solutions related to engineering applications, primarily using MATLAB for calculations and plotting. It includes tasks such as computing values, plotting graphs, finding roots of polynomials, and solving linear equations. Each problem is clearly numbered and demonstrates various mathematical concepts relevant to the course GENG 2050.

Uploaded by

tiffy252525
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as TXT, PDF, TXT or read online on Scribd
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%----------------------------------------------------------------------------------

-------
% Tiffany Calbo
%----------------------------------------------------------------------------------
-------
% GENG 2050 - Q1
%----------------------------------------------------------------------------------
-------
% Problem 1:
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
display(' ')
display('|------------------|------------------------------------------------------
-|')
display('| College | Computing and Engineering
|')
display('|------------------|------------------------------------------------------
-|')
display('| Student Name | Tiffany Calbo
|')
display('|------------------|------------------------------------------------------
-|')
display('| Course | GENG 2050 - Computer Applications in Engineering
|')
display('|------------------|------------------------------------------------------
-|')
display(' ')
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 2:
%----------------------------------------------------------------------------------
-------
x = 10;
y = 5;
t = 120;
s = sqrt(x^2 + y^2)*cos(2*pi*t/1000)
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 3:
%----------------------------------------------------------------------------------
-------
x = 25;
w = 2*pi/100;
t = 10;
y = 4/(x^(2/3))*exp(-i*w*t)
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 4:
%----------------------------------------------------------------------------------
-------
x = 0 : 0.01:10;
y = 5*cos(2*pi*x/100);
figure (1)
set(0,'defaultTextInterpreter','latex');
plot(x,y,'r')
title('Graph of y = 5\cos(2\pi x/100)')
xlabel('x')
ylabel('y')
grid
axis([0 15 0 10])
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 5:
%----------------------------------------------------------------------------------
-------
c = [3 -2 4];
r = roots(c)
x = 0:0.01:10;
y = polyval(c,x);
figure(2)
set(0,'defaultTextInterpreter','latex');
plot(x,y,'r')
xlabel('x')
ylabel('y')
title('Graph of y = 3x^3 - 2x^2 + 4')
grid
axis([0 15 0 50])
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 6:
%----------------------------------------------------------------------------------
-------
A = [2 -3 4; 6 1 1; -1 4 0];
b = [10;5;-10];
c = A\b
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 7:
%----------------------------------------------------------------------------------
-------
x = 2;
y = 1;
3^(x/y)*2^2 - x*y^(1/2) + x/(2*y-3)
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
%Problem 8:
%----------------------------------------------------------------------------------
-------
a = 2;
b = 6;
c = 1;
s1 = (-b + sqrt(b^2 - 4*a*c))/(2*a)
s2 = (-b - sqrt(b^2 - 4*a*c))/(2*a)

p = [a b c];
roots(p)
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 9:
%----------------------------------------------------------------------------------
-------
a = 3;
b = 2;
c = 4;
d = 5;
e = 3;
f = 1;
x = 0:0.01:1;
y = a*x.^2 + b*x + c + d*cos(e*x + f)
figure (3)
set(0,'defaultTextInterpreter','latex');
plot(x,y,'b')
title('Graph of y = 3x^2 + 2*x + 4 + 5\cos(3x+1)')
xlabel('x')
ylabel('y')
grid
%----------------------------------------------------------------------------------
-------
%----------------------------------------------------------------------------------
-------
% Problem 10:
%----------------------------------------------------------------------------------
-------
x = 'Happy';
y = 'New';
z = 'Year';
x = input('Happy');
y = input('New');
z = input('Year');
display([x,' ',y,' ',z])

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