Numerical Analysis-Numerical Integration (ISS Statistics Paper I (Old Subjective Pattern)): Questions 1 - 2 of 2

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Question number: 1

» Numerical Analysis » Numerical Integration

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Evaluate the following by taking seven ordinates of the integrand:

0111+x2dx

Explanation

The seven ordinates of the integrand using Simpson’s rule is

abf(x)dxh3(y0+4y1+2y2+4y3+2y4+4y5+y6)

Where… (198 more words) …

Question number: 2

» Numerical Analysis » Numerical Integration

Appeared in Year: 2012

Essay Question▾

Describe in Detail

The speed y (in km/hr) of a car at different points of time x between 10: 00 a. m. and 10: 40 a. m. on some day was recorded as follows:

Time x (a. m. )

10.00

10.10

10.20

10.30

10.40

Speed y (in km/hr)

24.2

35.0

41.3

42.8

39.2

Calculate the approximate distance covered by the car between 10: 00 a. m. and 10: 40 a. m. on that day using Simpson’s one-third formula for numerical integration.

Explanation

Answer: T he one-third rule of the integrand using Simpson’s rule is

abf(x)dxh3((y0+yn)+4(y1+y3++yn1)+2… (139 more words) …

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