Homework Numerical analysis Q1: Use any method to find the required root. Ans The root of sin x-(1/3) x 0 close to x 2.2. 2.27886 2. The root of e-x 0 close to x =1.1. ???? 3. The root of 3ln x + x-3 0 close to x =1.3 1.40619 %3D 4. The largest positive root of x-1.9x-2.3x +3.7 0 ???? -1.08601 The smallest root of x'- 4.5x + 1.3x + 8 = 0

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Homework
Numerical analysis
QI: Use any method to find the required root.
Ans
The root of sin x-(1/3) x 0 close to x 2.2.
2.27886
2.
The root of e-x=0 close to x = 1.1.
????
3.
The root of 3ln x+x-3 =0 close to x = 1.3
1.40619
4
The largest positive root of
x'-1.9x-2.3x + 3.7 0
2222
5.
The smallest root of x'- 4.5x + 1.3x + 8=0
-1.08601
6.
The root of V1- x² - x 0
????
Find a positive root of the equation x - x- 11 0
,correct to 4 decimals using bisection methods.
8.
Answer 2.3736
Answer -2.3736
Find a negative root of the equation x3 - x+11 = 0,correct
to 4 decimals using bisection methods.
Ans
Q2 : Use Newton's method to find the required root.
2.84387
73
1
Find 233 by solving for the zero of f(x)= 23 -x'.
?222
Find the smallest positive root of tan x+ 2 tanh x 0.
3.
Find the smallest root of x' - 3x + 2x-3x - 1.6 0.
0.25763
4
Find the root of 3x- e 0.
2??2
Find the root of 1+tanh x-2tan x 0.
1.813
Find the root of x-x-9 = 0, Take: the root near 2
6.
correct to 3 decimals.
2.743
7.
Compute the real roots of the equation xlog10x-1.2 = 0,
correct to 3 decimals.
Transcribed Image Text:Homework Numerical analysis QI: Use any method to find the required root. Ans The root of sin x-(1/3) x 0 close to x 2.2. 2.27886 2. The root of e-x=0 close to x = 1.1. ???? 3. The root of 3ln x+x-3 =0 close to x = 1.3 1.40619 4 The largest positive root of x'-1.9x-2.3x + 3.7 0 2222 5. The smallest root of x'- 4.5x + 1.3x + 8=0 -1.08601 6. The root of V1- x² - x 0 ???? Find a positive root of the equation x - x- 11 0 ,correct to 4 decimals using bisection methods. 8. Answer 2.3736 Answer -2.3736 Find a negative root of the equation x3 - x+11 = 0,correct to 4 decimals using bisection methods. Ans Q2 : Use Newton's method to find the required root. 2.84387 73 1 Find 233 by solving for the zero of f(x)= 23 -x'. ?222 Find the smallest positive root of tan x+ 2 tanh x 0. 3. Find the smallest root of x' - 3x + 2x-3x - 1.6 0. 0.25763 4 Find the root of 3x- e 0. 2??2 Find the root of 1+tanh x-2tan x 0. 1.813 Find the root of x-x-9 = 0, Take: the root near 2 6. correct to 3 decimals. 2.743 7. Compute the real roots of the equation xlog10x-1.2 = 0, correct to 3 decimals.
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