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Name: T.Sweta
Reg No. : 20BEC
INDEX
S.No DATE LAB NO. TITLE
1 Introduction to MATLAB
through Matrices
2 Plotting and visualizing
general functions, rates of
change of functions/tangent
lines.
3 Application of derivatives
and extremum of a single
variable function
4 Definite Integrals and it’s
application
5 Laplace Transform and
Inverse Laplace Transform
6 Limits and continuity
7 Applications of partial
derivatives
8 Extreme values of function
9 16.12.202 9 Lagrange’s multiplier
0 method
LAB NO. 01
TITLE:
Introduction to MATLAB through Matrices
MATLAB CODE:
% Matrix operations
clc
clear all
% create a row vector [or an array]
rv=[1 2 3 4 5]
% sum of elements of a vector
sv=sum(rv)
% Transpose of rv [column vector]
rvt=transpose(rv)
cv1=rv'
% create a column vector
cv2=[1;2;3;4;5]
% length and size of a vector
lrv=length(rv);
srv=size(rv);
% create a 2x2 matrix A
A=[1 2;3 4]
% length and size of a matrix
lrv=length(A);
srv=size(A);
% determinant of A
dA=det(A)
% inverse of A
E=inv(A)
x4=linspace(0,6,4)
OUTPUT: rv = 1 2 3 4 5 sv = 15 rvt = 1 2 3 4 5 cv1 = 1 2 3 4 5 cv2 = 1 2 3 4 5 A = 1 2 3 4
dA =
E = -2.0000 1. 1.5000 -0. rA = 2 lA = 1 0 3 4 uA = 1 2 0 4 B = 4 5 8 12 C = 5 7 11 16 D1 = 20 29 44 63 D2 = 4 10 24 48
2 1 14 13 x = 1 2 3 y = 4 5 6 dp = 32 cp = -3 6 - x1 = 0 1 2 3 4 5 x2 = 0 1 2 3 4 5 x3 = 0 2 4 6 x4 = 0 2 4 6
Problem Statement: Define f(x)=x^3 directly Code: clc clear all syms x f=x^ v3=subs(f,x,3) x0=1:5; v4=subs(f,x,x0) OUTPUT: f = x^ v3 = 27 v4 = [1, 8, 27, 64, 125]
Problem Statement: Define f(x)=x^3 using anonymous function (without any named identifier) Code: clc clear all f=@(x) (x.^3); v5=f(3) x0=1:5; v6=f(x0) OUTPUT: v5 = 27 v6 = 1 8 27 64 125 Problem Statement %(iv) Define f(x,y)=x^2+y^2 using anonymous function Code clc clear all f=@(x,y) (x.^2+y.^2); v7=f(1,2) x0=[1 2 3]; y0=[4 5 6]; v8=f(x0,y0)
Output
v7 = 5 v8 =
f=x^2+y^2; end function [g] = udfname2(x,y,z) g=x^2+y^2+z^2; end Output fpt = 5 fpts = [26, 40, 58, 80] gpt = 14 Problem statement % Solving system of linear equations, say, 4x+5y=7,7x+8y= CODE: clc clear all A=[4 5;7 8] b=[7 21]' x=A\b Output A = 4 5 7 8 b = 7
21 x =
-11.
Problem statement: %2.Multiple plots in a Figure window (using command hold on) CODE: clc clear all x=linspace(0,2pi,50); plot(x,sin(x),'r') hold on plot(x,cos(x),'g.') plot(x,cos(2x),'b-+') legend('sin(x)','cos(x)','cos(2x)') OUTPUT:
Problem statement: %3.Multiple plots in a Figure window (without command hold on) CODE: clc clear all x=linspace(0,2pi,50); plot(x,sin(x),'r',x,cos(x),'g-.',x,cos(2x),'b-+') legend('sin(x)','cos(x)','cos(2x)') OUTPUT:
Problem Statement: %5.Graph of a curve through ezplot command CODE: clc clear all syms x f=sin(2x)+cos(3x); % default domain {for sin, cos [-2pi.2pi]} D=[0 pi]; ezplot(f,D) OUTPUT:
Problem statement: %6.Plot a curve in space CODE: clc clear all t=linspace(0,2pi,50); x=cos(t);y=sin(t);z=sin(5t); plot3(x,y,z,'b.-','markersize',7) xlabel('x-axis') ylabel('y-axis') zlabel('z-axis') title('Curve in space') OUTPUT:
