GATE MA exam:gate PYQs & Answers — Page 23

Questions 221–230 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 23 of 65

Let

be the solution of

for some positive real number

. Let the domain of dependence of the solution

at the point

be the line segment on the

-axis with end points

and

. If the area of the triangle

is 8 square units, then the value of

is __________.

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Let

for all

in some neighbourhood of

. Then the value of

is equal to __________.

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Let

. If

is the interpolating polynomial of degree less than or equal to 4 for the data

then the value of

is ____________.

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For a fixed

, let

. If the value of

obtained by using the Trapezoidal rule is equal to

, then the value of

is __________ (rounded off to 2 decimal places).

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If for some

then the value of

equals ______.

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Let

be the portion of the plane

which lies inside the cylinder

. If the surface area of

, then the value of

is equal to __________.

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Let

and the norm

for

. Let

be defined by

denotes the norm of the linear functional

, then

is equal to _________.

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Let

be the solution of the initial value problem

, then the value of

is ______ (rounded off to 2 decimal places).

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Consider

with the inner product

, for

and

. Let

and

denote the orthogonal complement of

. The dimension of

is equal to ______.

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Let

and

. If

for some

, then the value of

is equal to __________.

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GATE MA exam:gate PYQs

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