EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2019>Q 3

EASY

CG PET

IMPORTANT

Earn 100

For the solution of equation $f (x) = 0$ by the Newton-Raphson method, the value of $x$ tends to root of the equation highly when $f^{'} (x_{n})$ is

50% studentsanswered this correctly

Important Questions on Numerical Methods

MEDIUM

CG PET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2017>Q 4

Dividing the interval

(1, 2)

into four equal parts and using Simpson's rule, the value of

\int_{1}^{2} \frac{d x}{x}

will be

MEDIUM

CG PET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2017>Q 5

Taking four subintervals, the value of

\int_{0}^{1} \frac{d x}{1 + x}

by using trapezoidal rule will be

MEDIUM

CG PET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2018>Q 6

Taking two sub-intervals and using Simpson's

\frac{1}{3}

rd rule, the value of

\int_{0}^{1} \frac{d x}{1 + x}

will be

MEDIUM

CG PET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2018>Q 7

Using trapezoidal rule and taking

n = 4

, the approximate value of integral

\int_{1}^{9} x^{2} d x

is

2 [\frac{1}{2} (1 + 9^{2}) + α^{2} + β^{2} + 7^{2}]

, then

MEDIUM

CG PET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2019>Q 8

By Simpson's rule, the value of

\int_{1}^{2} \frac{d x}{x}

dividing the interval

(1, 2)

into four parts is

EASY

CG PET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 28 - Numerical Methods>CG PET 2019>Q 9

Simpson's rule for evaluation of

\int_{a}^{b} f (x) d x

requires the interval

(a, b)

to be divided into