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

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topic:numerical-methods

Questions 11–15 of 15. Imported answers require independent review unless marked reviewed.

Topic practice 15 questionsPage 2 of 2

For the integral

, the absolute percentage error in numerical evaluation with the Trapezoid rule, using only the end points, is ______ (round off to one decimal place).

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Evaluation of

using a 2-equal-segment trapezoidal rule gives a value of ________

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The derivative of

can be estimated using the approximation

. The percentage error is calculated as

. The percentage error in the derivative of

radian, choosing

radian, is

Your answerChoose one option.

and

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An explicit forward Euler method is used to numerically integrate the differential equation

using a time step of 0.1. With the initial condition

, the value of

computed by this method is __________ (correct to two decimal places).

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P (0, 3), Q (0.5, 4), and R (1, 5) are the three points on the curve defined by

. Numerical integration is carried out using both Trapezoidal rule and Simpson’s rule within limits

and

for the curve. The difference between the two results will be

Your answerChoose one option.

0.25

0.5

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GATE ME topic:numerical-methods PYQs

Question 35

Question 18

Question 28

Question 37

Question 29