GATE MA format:nat PYQs & Answers — Page 9

Questions 81–90 of 222. Imported answers require independent review unless marked reviewed.

Topic practice 222 questionsPage 9 of 23

If the function

attains its local minimum value at the point

, then the value of

is _____ (round off to TWO decimal places).

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If the ordinary differential equation

has a solution of the form

, where

’s are constants and

, then the value of

is _____.

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The Bessel function

satisfy

. Then, the value of

is _____.

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The partial differential equation

is transformed to

using

and

. Then, the value of

is _____.

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Three companies

and

submit bids for three jobs

and

. The costs involved per unit are given in the table below:


10	12	8
9	15	10
15	10	9

Then, the cost of the optimal assignment is ________.

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The initial value problem

is solved by using the following second order Runge-Kutta method:

where

is the uniform step length between the points

and

. The value of the product

is ________ (round off to TWO decimal places).

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The surface area of the paraboloid

between the planes

and

is ________ (round off to ONE decimal place).

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The rate of change of

in the direction from

is ________.

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If the Laplace equation

with the boundary conditions

and

has a solution, then the constant

is _____.

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Let

be the solution of the first order partial differential equation

satisfying

. Then, the value of

is _____.

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GATE MA format:nat PYQs

Question 32

Question 33

Question 34

Question 35

Question 57

Question 58

Question 59

Question 60

Question 61

Question 62