Calculus of Variations (CSIR (Council of Scientific & Industrial Research) Mathematical Sciences): Questions 1 - 4 of 4

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Question number: 1

» Calculus of Variations » Euler-Lagrange Equation

Appeared in Year: 2015

MCQ▾

Question

The functional has the following extremal with as arbitrary constants. (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Calculus of Variations » Necessary and Sufficient Conditions for Extrema

Appeared in Year: 2016

MCQ▾

Question

The curve of fixed length , that joins the points , lies above the x-axis and encloses the maximum area between itself and the , is a segment of (June)

Choices

Choice (4) Response

a.

A straight line

b.

A parabola

c.

An ellipse

d.

A circle

Question number: 3

» Calculus of Variations » Necessary and Sufficient Conditions for Extrema

Appeared in Year: 2016

MCQ▾

Question

and is arbitrary then the extremal is (December Part B)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Calculus of Variations » Euler-Lagrange Equation

Appeared in Year: 2017

MCQ▾

Question

The Infimum of on the class of functions is equal to (June Part B)

Choices

Choice (4) Response

a.

0

b.

c.

1

d.

2

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