GATE MA 2023 Paper 1 — page 17

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

Let

, be two functions satisfying the following system of differential equations:

and

, where

are real numbers.

Which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

, then

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For

, and

, let

be a three-point formula to approximate

for any differentiable function

and

for every polynomial

of degree less than or equal to 2 and for all

, then

Your answerSelect all correct options. You can choose more than one.

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Let

be a twice continuously differentiable function on

such that

and

for all

. Let

for some

. The Newton-Raphson method to compute

is given by

for an initial guess

for some

, then which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

For every

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2023 · Paper 1