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I. Answer the following questions based on your understanding of the lesson. 1. Differentiate Simple Root and Multiple Root based on your own understanding. 2. State the intermediate value theorem. 3. Differentiate Bisection Method and Secant Method.

I. Answer the following questions based on your understanding of the lesson. 1. Differentiate Simple Root and Multiple Root based on your own understanding. 2. State the intermediate value theorem. 3. Differentiate Bisection Method and Secant Method.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I. Answer the following questions based on your understanding of the lesson. 1. Differentiate Simple Root and Multiple Root based on your own understanding. 2. State the intermediate value theorem. 3. Differentiate Bisection Method and Secant Method. 4. What is the disadvantage of the method of false position? II. Solve what is asked. Show your complete solution. 1. Find the largest root of the following equation, accurate within e = 0.0001. (Use Bisection Method) a. x-e'=0 b. -х- 10- 0 2. Find the root of the following equation as specified, using Method of False Position and Secant Method. a. Solve the equation and find the positive root of x' = 2x + 5. (Do only five iterations). b. Calculate the approximate root of x log, x – 1.2 = 0, correct to three decimal places. c. Correct to four decimal places, solve the equation x tan x =- 1, starting with a = 2.5 and b= 3. d. Correct to three decimal places, find the root of xe' = 3.
Transcribed Image Text:I. Answer the following questions based on your understanding of the lesson. 1. Differentiate Simple Root and Multiple Root based on your own understanding. 2. State the intermediate value theorem. 3. Differentiate Bisection Method and Secant Method. 4. What is the disadvantage of the method of false position? II. Solve what is asked. Show your complete solution. 1. Find the largest root of the following equation, accurate within e = 0.0001. (Use Bisection Method) a. x-e'=0 b. -х- 10- 0 2. Find the root of the following equation as specified, using Method of False Position and Secant Method. a. Solve the equation and find the positive root of x' = 2x + 5. (Do only five iterations). b. Calculate the approximate root of x log, x – 1.2 = 0, correct to three decimal places. c. Correct to four decimal places, solve the equation x tan x =- 1, starting with a = 2.5 and b= 3. d. Correct to three decimal places, find the root of xe' = 3.
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