MTH643 Midterm Past Papers

MTH643 · Mid Term Papers · Paper 1

Q1. i.

Define x and initialize it with a value 15

ii.

Take the square root of x and store the answer in variable y

iii.

Write a code for expression w=x

sin( )

y

Solution:

>> clc >> clear all >> close all >> syms x >> x=15 >> y=sqrt(x) >> w=x^y*sin(pi)

Q2. Write the following in matlab

Z= x y

x y

then solve the expression to find the value of Z by

substituting the value of x=6, y=7

Solution:

>> clc >> clear all >> close all >> syms x y >> z=(x+y)^6/(x^2*y); >> subs(z,{x,y},{6,7})

Q3. Plot the contour F(x,y)=sin(x)+cos(y) over the interval of 5

5 and -5 · x · x

Solution: >> clc >> clear all >> close all

>> contour(x,y,sin(x)+cos(y))

Q4. Base and height given find the Area?

Solution:

As we know formula of Area of rectangle is A= b×h

>> clc >> clear all >> close all >> b=4 >> h=7 >> A=1/2*b*h; >> disp(A)

Paper 2

Q1. Find the value of the following expression

i.

3 at x=5 U x y x x y y

ii.

f(x) = sin*x at x=pi/2

Solution:

I. >> clc >> clear all >> close all >> syms x y >> u=2*x+x*y^2+3*y; >> subs(u,x,5)

II. >> clc >> clear all >> close all >> syms x >> f=sin(x); >> subs(f,x,sym('pi/2'))

Q2. Find the solution of the following system of linear equations in matlab (value of x, y and z should be

displayed) · x · y · z · x · y · z · x · y · z

Solution: clc clear all close all

[x,y,z]=solve('x+y+z==2','-x+y-z==3','x+2*y+3*z==-10')

Q3. Plot the curve of the following in one graph

f x x x x x

2 on domain [-10,10] g x x x x

Solution:

>> clc >> clear all >> close all >> syms x >> f=2*x^4+3*x^3+5*x^2+2*x-3 >> g=5*x^4+2*x^2+2*x-2 >> ezplot('f',[-10,10]) >> hold on >> ezplot('g',[-10,10]) >> hold off

Q4. Take input from user

I.

What is your name?

II.

What is your age?

Then display your name and your age is

Solution: >> clc >> clear all >> close all >> name=input('enter the name: ','s') >> age=input('enter the age: ') >> if age>20 >> disp('my age is 25') >> else age<20 >> disp('my age is not 25') >> end

Paper 3

Q1. Plot the curve of the following function

x y xy

Solution: >> clc