Instrumentation Engineering
GATE IN topic:numerical-methods PYQs
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How to practice topic:numerical-methods
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Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.
Question 37
Open questionINMCQ2 marksNeeds review
Newton-Raphson method is used to compute the inverse of the number 1.6. Among the following options, the initial guess of the solution that results in non-convergence of the iterative process is
Your answerChoose one option.
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Open questionINNAT1 markNeeds review
Consider a system given by the following first order differential equation:
where,
and
. Using a step size
for the improved Euler method, the value of
at
is ________ (rounded off to two decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 34
Open questionINNAT1 markNeeds review
The Newton-Raphson method is applied to determine the solution of
where
. If the initial guess of the solution is
, the value of the next approximation
is ________ (round off to two decimal places)Log in to check the answer
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Open questionINMCQ1 markNeeds review
Consider the sequence
with
. Then
isYour answerChoose one option.
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Open questionINMCQ2 marksNeeds review
The following table lists an
order polynomial
and the forward differences evaluated at equally spaced values of
. The order of the polynomial is | | | | |
|---|---|---|---|---|
-0.4 | 1.7648 | -0.2965 | 0.089 | -0.03 |
-0.3 | 1.4683 | -0.2075 | 0.059 | -0.0228 |
-0.2 | 1.2608 | -0.1485 | 0.0362 | -0.0156 |
-0.1 | 1.1123 | -0.1123 | 0.0206 | -0.0084 |
0 | 1 | -0.0917 | 0.0122 | -0.0012 |
0.1 | 0.9083 | -0.0795 | 0.011 | 0.006 |
0.2 | 0.8288 | -0.0685 | 0.017 | 0.0132 |
Your answerChoose one option.
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