GATE MA year:2019 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

The maximum value of the error term of the composite Trapezoidal rule when it is used to evaluate the definite integral

with 12 sub-intervals of equal length, is equal to ______ (round off to 3 places of decimal).

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By the Simplex method, the optimal table of the linear programming problem:

where

are real constants, is

Then the value of

is ______.

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Consider the inner product space

of all polynomials of degree at most 2 over the field of real numbers with the inner product

for

. Let

be an orthogonal set in

, where

and

are real constants. Then the value of

is equal to _____.

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Consider the system of linear differential equations

with the initial conditions

. Then

is equal to _____.

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Consider the differential equation

The sum of the roots of the indicial equation of the Frobenius series solution for the above differential equation in a neighbourhood of

is equal to _____.

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GATE MA year:2019 PYQs