Free Printable Numerical Analysis 1

1.

If y(x)=e^x then y(0) and y(1) are

a)

1, 2.7183

b)

2,3

c)

1,2

d)

2,4

2.

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

a)

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

b)

$h=\frac{x_n+x_0}{n}$

c)

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

d)

none of thesse

3.

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

a)

1

b)

2

c)

3

d)

4

4.

By Trapezoidal rule,

\int_{x_0}^{x_n}ydx=---

a)

$\frac{h}{2}\left(y_0+2\left(y_1+y_2+...+y_{n-1}\right)+y_{n_{ }}\right)$

b)

$\frac{h}{2}\left(y_0-2\left(y_1+y_2+...+y_{n-1}\right)+y_{n_{ }}\right)$

c)

$\frac{h}{2}\left(y_0+2\left(y_1+y_2+...+y_{n-1}\right)-y_{n_{ }}\right)$

d)

$\frac{h}{3}\left(y_0+2\left(y_1+y_2+...+y_{n-1}\right)+y_{n_{ }}\right)$

5.

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

a)

True

b)

False

6.

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

a)

True

b)

False

7.

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

a)

True

b)

False

8.

Simpson’s 1/3 formula is not a closed formula.

a)

True

b)

False

9.

If y(x)=sinx,then $y\left(\frac{\pi}{2}\right)=$

a)

1

b)

-1

c)

0

d)

1/2

10.

The process of computing the value of a function inside the given range is called interpolation.

a)

True

b)

False

Numerical Analysis 1

Total questions: 10

Worksheet time: 5mins

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