MTH643 Midterm Past Papers Set 2

Solved By M L!K Hafeez

Q.No.1

%find the value of trignometric function at x=pi/2 %using subs command cos(x),sin(x),tan(x)

Ans;

clc clear all syms x a=cos(x) b=sin(x) c=tan(x) A=subs(a,x,pi/2) B=subs(b,x,pi/2) C=subs(c,x,pi/2)

Q.No.2

%find the value of trignometric function at x=pi/2 %using sym command cos(x),sin(x),tan(x)

Ans;

clc clear all syms x A=cos(sym(pi/2)) B=sin(sym(pi/2)) C=tan(sym(pi/2))

Q.No.3

%find the value of following using subs comman %u(x,y)=2x+xy^2+3y at x=5 and f(x)=sin(x) at x=pi/2 %on the interval [0, 8] using plot, hold on and hold off commands.

%Finally gives the title “Multiple Graphs”.

Ans;

clc clear all syms x x=0:0.01:8 f=exp(-x) g=sin(x) Plot(x,f) hold on plot(x,g) hold off xlabel(‘x’) ylabel(‘y’)

Q.No.9

%on the interval [0, 8] using ezplot, hold on and hold off commands.

%Finally gives the title “Multiple Graphs”.

Ans;

clc clear all syms x f=exp(-x) g=sin(x) ezplot(f,[0,8]) hold on ezplot(g,[0,8]) hold off xlabel(‘x’) ylabel(‘y’)

Q.No.10

%Plot the parametric graph of the circle with center at (0; 0), radius 1, and with

%increment of 0:01 in the domain set. Label the horizontal axis with x and vertical axis with y.

%Make the shape of the graph square. Keeps the title of the graph “Parametric plot of the

%circle”

Ans;

clc clear all t=0:0.01:1; plot(cos(2*pi*t),sin(2*pi*t)) xlabel(‘x’) ylabel(‘y’) title(‘parametric plot of the curcle’)

Q.No.11

%Plot the contour plots of the expression x2 + y2 using meshgrid and contour commands.