GATE PI topic:numerical-methods PYQs & Answers — Page 2

Questions 11–13 of 13. Imported answers require independent review unless marked reviewed.

Topic practice 13 questionsPage 2 of 2

In order to evaluate the integral

with Simpson’s 1/3rd rule, values of the function

are used at

and 1.0. The absolute value of the error of numerical integration is

Your answerChoose one option.

0.00071

0.00040

0.00579

0.00278

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Using Simpson’s

rule for numerical integration, the consecutive points are joined by a

Your answerChoose one option.

line

parabola

polynomial with power 3

polynomial with power 1/3

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Runge-Kutta fourth order method is used to solve the differential equation

. If the initial value

and step-size is 0.1, then the value of

is __________ (up to three decimal places).

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GATE PI topic:numerical-methods PYQs