MTH603 Assignment 1 Solution and Discussion

Re: MTH603 Assignment 1 Solution and Discussion
Assignment No. 1 MTH603 (Spring 2022)
Total Marks: 20
Due Date: 8th June, 2022DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
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Also remember that you are supposed to submit your assignment in Word format, any other format like scanned images, etc. will not be accepted and be awarded zero marksQuestion 1
Find a real root of the equation 2x+cos(x)+e^x=0
using Bisection Method
using Newton Raphson Method
Also compare the results and comment which of the methods performs better and which is worst.
You will consider x_0=0.6557 as a best approximation while comparing the roots.Note:
In each of the above methods,you are required to perform three iterations. 

@cyberian said in MTH603 Assignment 1 Solution and Discussion:
Find a real root of the equation 2x+cos(x)+e^x=0
using Bisection Method





Only students of Section: Nabeela Wali shall solve this Assignment.
Assignment # 01 MTH603 (Spring 2024)
Marks: 10
Due Date: May 6, 2024
DON’T MISS THESE: Important instructions before attempting the solution and submission of this assignment:
⚫ Lectures 310 are encompassed in Assignment 1.
⚫ Only students in Section: Nabeela Wali shall complete this Assignment.
⚫ Students in other teacher’s section will be completing a different assignment and are strictly prohibited from solving this one.
⚫ Submitting a copied assignment or irrelevant assignment will result in a zero grade.
⚫ Assignment 1 is due on May 6, 2024.
⚫ Properly Upload the solution of this assignment in MS Word format on LMS as per the previous practice.
Question 1 5 Marks
Find a root of the equation 𝑥3 − 3𝑥 − 5 = 0, in the interval (2,3) using Bisection Method after three Iterations.
Note: Accuracy up to four decimal places is required.
Question 2 5 Marks
Find a root of the following equation in the interval (0,1) using NewtonRaphson Method after three iterations
𝑥𝑒𝑥 − cos 𝑥 = 0
Take Initial value 0.5.
Note: Accuracy up to four decimal places is required. Here is a transcendental equation all the calculation should be done in the radians mode. 
@cyberian said in MTH603 Assignment 1 Solution and Discussion:
Question 1 5 Marks
Find a root of the equation 𝑥3 − 3𝑥 − 5 = 0, in the interval (2,3) using Bisection Method after three Iterations.
Note: Accuracy up to four decimal places is required.
MTH603  Assignment 1  Spring 2024  Nabeela Wali  Solution file.pdf