Q1 / From the following table , find f(3)101520Xy11.63.88.215.4Q2/ Solve the following equations by using iteration method.1))х3—9х+ 1 - 0((2))х* — х — 10 %3 0((3) 2 х3- 11.1 х? + 17.1 х - 6%3D 0Q3 / Find the real roots of the of the following equations by using secant methodx' + 3((1))x=((2)) 3x + sin x = e*((3)) 3x – cos x - 2= 0Q4/ ( choose two only)A)) Find the positive root of x³ - x -1= 0 , by bisection method , correct up to4- decimal places.B)) Use bisection method to solve F(x) = x² - 2, correct up to 4- decimal places.C))Findtherealrootofcorrect up to 3-decimal plac x*- x³. 2x²- 6x -4 = 0Q5/ By using Newton - Raphson method solve the following equations:1)) x sin x + cos x = 02)) x3+ 4x 2+ 7 = 0

Use any numerical interpolation technique to obtain the result. Use Newton's forward difference…

Answered: Q1 / From the following table , find…

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Q1 / From the following table , find f(3) 5 10 15 20 y 1 1.6 3.8 8.2 15.4

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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Concept explainers

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Question

Q1 / From the following table , find f(3)
10
15
20
X
y
1
1.6
3.8
8.2
15.4
Q2/ Solve the following equations by using iteration method.
1))
х3—9х+ 1 - 0
((2))
х* — х — 10 %3 0
((3) 2 х3- 11.1 х? + 17.1 х - 6%3D 0
Q3 / Find the real roots of the of the following equations by using secant method
x' + 3
((1))
x=
((2)) 3x + sin x = e*
((3)) 3x – cos x - 2= 0
Q4/ ( choose two only)
A)) Find the positive root of x³ - x -1= 0 , by bisection method , correct up to
4- decimal places.
B)) Use bisection method to solve F(x) = x² - 2, correct up to 4- decimal places.
C))
Find
the
real
root
of
correct up to 3-decimal plac x*- x³. 2x²- 6x -4 = 0
Q5/ By using Newton - Raphson method solve the following equations:
1)) x sin x + cos x = 0
2)) x3+ 4x 2+ 7 = 0

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