Complete GATE MA 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Question 58

Open question
MANAT2 marksNeeds review
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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Question 59

Open question
MANAT2 marksNeeds review
The surface area of the paraboloid

between the planes

and

is ________ (round off to ONE decimal place).

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Question 60

Open question
MANAT2 marksNeeds review
The rate of change of

at

in the direction from

to

is ________.

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