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University of Barishal

Department of Computer Science and Engineering

1st Mid Exam

Course Title: Numerical Methods (CSE-3107)

Semester: 5th | Session: None

Time: 90 minutes | Marks: 25.00

Exam Date: September 22, 2025

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1.

1) Why do we need to study numerical methods in CSE? Briefly describe different types of iteration methods 5 and the limitations of each one of these.

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5 Marks
2) Find out the root of the following equation using the iteration method x²- 4x - 10 = 0

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3) Find out the root of the following equation using the false position method e^x-3x = 0 in [0, 1]

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4) Explain the Newton-Raphson's iterative formula? What are the necessities of using Newton-Raphson method in numerical analysis? Explain all the steps to find out the roots of a function using this method.

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5) Find out the root of the following equation using the Newton-Raphson method f(x) = 2x^3 - 2x-5

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Uploaded By: Lazmi Rahman Sept. 22, 2025, 6:14 p.m.
Converted By (Img/PDF to Text): Md Rayhanul Islam Nov. 3, 2025, 11:43 a.m.
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