<![CDATA[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, 2022

DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
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Question 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.

Spring 2022_MTH603_1.docx

]]>https://community.secnto.com//topic/2326/mth603-assignment-1-solution-and-discussionRSS for NodeMon, 08 Jun 2026 22:41:48 GMTFri, 03 Jun 2022 15:09:51 GMT60<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 20 Sep 2024 11:29:21 GMT]]>@cyberian said in MTH603 Assignment 1 Solution and Discussion:

@zaasmi said in MTH603 Assignment 1 Solution and Discussion:

Assignment # 01 MTH603 (Summer 2024)
Marks: 10
Due Date: 21.09 2024
DON’T MISS THESE: Important instructions before attempting the solution and
submission of this assignment:
 Lectures 23-30 are encompassed in Assignment 1.
 Assignment 1 is due on 21 September 2024.
 Properly Upload the solution of this assignment in MS Word format on
LMS as per the previous practice.
Question 1 [Marks 5]
First construct the divided difference table and then find the interpolating
polynomial of the following function 𝑦 = 𝑓(𝑥) by Newton’s Divided Difference
Formula.
𝑥 0 𝜋
𝜋
2
𝑦 = 𝑓(𝑥) 0 1 0
Question 2 [Marks 5]
Compute 𝑓′(1.5), from the following tabular data using the forward difference
formula for derivative.
𝑥 1.5 2.0 2.5 3.0 3.5 4.0
𝑓(𝑥) 3.375 7.000 13.625 24.000 38.875 59.000

Summer 2024_MTH603_1.pdf

Download

]]>https://community.secnto.com//post/7794https://community.secnto.com//post/7794Fri, 20 Sep 2024 11:29:21 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 20 Sep 2024 11:13:36 GMT]]>@zaasmi said in MTH603 Assignment 1 Solution and Discussion:

Assignment # 01 MTH603 (Summer 2024)
Marks: 10
Due Date: 21.09 2024
DON’T MISS THESE: Important instructions before attempting the solution and
submission of this assignment:
 Lectures 23-30 are encompassed in Assignment 1.
 Assignment 1 is due on 21 September 2024.
 Properly Upload the solution of this assignment in MS Word format on
LMS as per the previous practice.
Question 1 [Marks 5]
First construct the divided difference table and then find the interpolating
polynomial of the following function 𝑦 = 𝑓(𝑥) by Newton’s Divided Difference
Formula.
𝑥 0 𝜋
𝜋
2
𝑦 = 𝑓(𝑥) 0 1 0
Question 2 [Marks 5]
Compute 𝑓′(1.5), from the following tabular data using the forward difference
formula for derivative.
𝑥 1.5 2.0 2.5 3.0 3.5 4.0
𝑓(𝑥) 3.375 7.000 13.625 24.000 38.875 59.000

Summer 2024_MTH603_1.pdf

Download

]]>https://community.secnto.com//post/7793https://community.secnto.com//post/7793Fri, 20 Sep 2024 11:13:36 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 20 Sep 2024 10:48:41 GMT]]>Assignment # 01 MTH603 (Summer 2024)
Marks: 10
Due Date: 21.09 2024
DON’T MISS THESE: Important instructions before attempting the solution and
submission of this assignment:
 Lectures 23-30 are encompassed in Assignment 1.
 Assignment 1 is due on 21 September 2024.
 Properly Upload the solution of this assignment in MS Word format on
LMS as per the previous practice.
Question 1 [Marks 5]
First construct the divided difference table and then find the interpolating
polynomial of the following function 𝑦 = 𝑓(𝑥) by Newton’s Divided Difference
Formula.
𝑥 0 𝜋
𝜋
2
𝑦 = 𝑓(𝑥) 0 1 0
Question 2 [Marks 5]
Compute 𝑓′(1.5), from the following tabular data using the forward difference
formula for derivative.
𝑥 1.5 2.0 2.5 3.0 3.5 4.0
𝑓(𝑥) 3.375 7.000 13.625 24.000 38.875 59.000

Summer 2024_MTH603_1.pdf

]]>https://community.secnto.com//post/7792https://community.secnto.com//post/7792Fri, 20 Sep 2024 10:48:41 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 10 May 2024 06:30:43 GMT]]>@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.

Screen Shot 2024-05-03 at 7.11.17 PM.png
Screen Shot 2024-05-03 at 7.14.44 PM.png Screen Shot 2024-05-03 at 7.15.21 PM.png Screen Shot 2024-05-03 at 7.15.36 PM.png Screen Shot 2024-05-03 at 7.15.48 PM.png Screen Shot 2024-05-03 at 7.16.07 PM.png Screen Shot 2024-05-03 at 7.16.21 PM.png Screen Shot 2024-05-03 at 7.17.18 PM.png Screen Shot 2024-05-03 at 7.17.26 PM.png

Download Source File

MTH603 - Assignment 1 - Spring 2024 - Nabeela Wali - Solution file.pdf

]]>https://community.secnto.com//post/7190https://community.secnto.com//post/7190Fri, 10 May 2024 06:30:43 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 03 May 2024 14:08:46 GMT]]>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.

]]>https://community.secnto.com//post/7189https://community.secnto.com//post/7189Fri, 03 May 2024 14:08:46 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Tue, 23 May 2023 14:45:53 GMT]]>Spring 2023_MTH603_1 Solution

]]>https://community.secnto.com//post/7075https://community.secnto.com//post/7075Tue, 23 May 2023 14:45:53 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Thu, 09 Jun 2022 17:41:25 GMT]]>MTH603-Assignment-1-Spring-2022

]]>https://community.secnto.com//post/6993https://community.secnto.com//post/6993Thu, 09 Jun 2022 17:41:25 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 03 Jun 2022 15:23:25 GMT]]>@cyberian said in MTH603 Assignment 1 Solution and Discussion:

using Newton Raphson Method

cb5f43b7-f199-43a4-99af-9618aced0ea6-image.png
a988082b-ec2c-4983-bd43-6225af9060f8-image.png
53da29b8-dca4-4667-8b78-792185860a4c-image.png
0b35ec17-4800-45f7-8713-b0e546ff4707-image.png

]]>https://community.secnto.com//post/6988https://community.secnto.com//post/6988Fri, 03 Jun 2022 15:23:25 GMT<![CDATA[Reply to MTH603 Assignment 1 Solution and Discussion on Fri, 03 Jun 2022 15:20:17 GMT]]>@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

619c84d5-1907-4412-b8ed-a6ccaa0c7382-image.png
6fa9899d-e90a-447a-ac6d-29140faeb3c6-image.png
b8b4d3f0-e5cf-4f5b-83b0-5ed3d24f2c62-image.png

]]>https://community.secnto.com//post/6987https://community.secnto.com//post/6987Fri, 03 Jun 2022 15:20:17 GMT