GATE BT topic:numerical-methods PYQs & Answers

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topic:numerical-methods

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–7 of 7. Imported answers require independent review unless marked reviewed.

Topic practice 7 questionsPage 1 of 1

Consider the equation

. The value of the integral

using trapezoidal method and interval

is ________. (rounded off to two decimal places)

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Consider a nonlinear algebraic equation,

. Using the Newton-Raphson method, with the initial guess of

, the approximated value of the root of the equation after one iteration is _____ .

(Round off to two decimal places)

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The absolute relative error in evaluating the integral

by the trapezoidal rule with the step size 0.25 is ______ % (rounded off to 2 decimal places).

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Consider a nonlinear algebraic equation,

. Using the Newton-Raphson method, with the initial guess of

, the value of

after one iteration (rounded off to one decimal place) is ________________.

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A variable Y is a function of t. Given that Y(t = 0) = 1 and Y(t = 1) = 2,

in the interval

can be approximated as ____________.

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Which of the following are geometric series? P. 1, 6, 11, 16, 21, 26, ... Q. 9, 6, 3, 0, -3, -6, ... R. 1, 3, 9, 27, 81, ... S. 4, -8, 16, -32, 64,

Your answerChoose one option.

P and Q only

R and S only

Q and S only

P, Q and R only

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∫ from −1 to 1 f(x) dx calculated using trapezoid rule for the values given in the table is ______ (rounded off to 2 decimal places).

x	−1	−2/3	−1/3	0	1/3	2/3	1
f(x)	0.37	0.51	0.71	1.0	1.40	1.95	2.71

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GATE BT topic:numerical-methods PYQs

How to practice topic:numerical-methods

Question 51

Question 33

Question 65

Question 30

Question 25

Question 13

Question 50