Numerical Analysis 1

Numerical Analysis 1

University

10 Qs

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Numerical Analysis 1

Numerical Analysis 1

Assessment

Quiz

Mathematics

University

Medium

Created by

Manimozhi Mathematics

Used 19+ times

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If y(x)=ex then y(0) and y(1) are

1, 2.7183

2,3

1,2

2,4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In numerical integration the width of the sub intervals is given by

h=xnx0nh=\frac{x_n-x_0}{n}

h=xn+x0nh=\frac{x_n+x_0}{n}

h=x0xnnh=\frac{x_0-x_n}{n}

none of thesse

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Trapezoidal rule, for the interval (0,1) if h=0.25 then the value of n is_________

1

2

3

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

    By Trapezoidal rule,

 x0xnydx=\int_{x_0}^{x_n}ydx=---  

 h2(y0+2(y1+y2+...+yn1)+yn)\frac{h}{2}\left(y_0+2\left(y_1+y_2+...+y_{n-1}\right)+y_{n_{ }}\right)  

 h2(y02(y1+y2+...+yn1)+yn)\frac{h}{2}\left(y_0-2\left(y_1+y_2+...+y_{n-1}\right)+y_{n_{ }}\right)  

 h2(y0+2(y1+y2+...+yn1)yn)\frac{h}{2}\left(y_0+2\left(y_1+y_2+...+y_{n-1}\right)-y_{n_{ }}\right)  

 h3(y0+2(y1+y2+...+yn1)+yn)\frac{h}{3}\left(y_0+2\left(y_1+y_2+...+y_{n-1}\right)+y_{n_{ }}\right)  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simpson’s 3/8 rule is applicable only when n is a multiple of 3.

True

False

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simpson’s 1/3 rule is applicable for five ordinates.

True

False

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simpson’s 3/8 rule is applicable for nine ordinates.

True

False

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