MTH643 Assignment 1 Solution and Discussion

zaasmi

Instructions:
Assignment NO.01 Spring 2020
Total Marks: 20 Due Date: 15-06-2020
Write the code of the given problems in Script File with .m extension
You can directly upload the .m file or you can paste the code and output in word file and then upload the word file.
Question # 1
In parametric form the circle of radius 1 centered at (0, 0) can be expressed in parametric form
as x = cos(2 π t) and y = sin(2 π t) where t is from 0 to 1.
Graph the circle with given parametric equations in MATLAB with 1. plot function
2. ezplot function
Question # 2
22222
Draw the contour plot of lemniscate x − y = (x +y ) . You can take any range for the
meshgrid.
Question # 3
Find the sixth derivative of the following given function using MATLAB
f (x) = sin(4x2 3) +

zaasmi

Question # 1
In parametric form the circle of radius 1 centered at (0, 0) can be expressed in parametric form
as x = cos(2 π t) and y = sin(2 π t) where t is from 0 to 1.
Graph the circle with given parametric equations in MATLAB with 1. plot function2. ezplot function

Answer 1:

t= 0:0.01:1;
x = cos(2pit);
y = sin(2pit);
plot(x,y)
And for figure 2:
ezplot(‘x^2+y^2=1’)

Answer 1:
Using plot

Using ezplot:

Question # 2
22222
Draw the contour plot of lemniscate x − y = (x +y ) . You can take any range for the
meshgrid.

Answer 2:

x = linspace(-2pi,2pi);
y = linspace(0,4*pi);
[X,Y] = meshgrid(x,y);
Z = X-Y-(X+Y);
contour(X,Y,Z)

Question # 3
Find the sixth derivative of the following given function using MATLAB
f (x) = sin(4x2 3) +
Answer 3:

syms x
f = sin(4x^2/3);
diff(f,6)
We get:
ans =
(163840x^4cos((4x^2)/3))/81 - (2560cos((4x^2)/3))/9 + (20480x^2sin((4x^2)/3))/9 - (262144x^6sin((4x^2)/3))/729https://www.coursehero.com/qa/attachment/12556913/https://www.coursehero.com/qa/attachment/12557005/https://www.coursehero.com/qa/attachment/12557153/

zaasmi

Please share idea

Malik Qasim

plz share the sol of MTH643

zaasmi

@zaasmi said in MTH643 Assignment 1 Solution and Discussion:

In parametric form the circle of radius 1 centered at (0, 0) can be expressed in parametric form
as x = cos(2 π t) and y = sin(2 π t) where t is from 0 to 1.

https://youtu.be/57BiI_iD3-U