MTH603 Assignment 1 Solution and Discussion
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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:
• To solve this assignment, you should have good command over 1-8 lectures.
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Make a solution by yourself and protect your work from other students, otherwise both original and copied assignments will be awarded zero marks.
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. -
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@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
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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 3-10 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 Newton-Raphson 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.