Calculus of Variations [CSIR (Council of Scientific & Industrial Research) Mathematical Sciences]: Questions 1 - 7 of 17

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Question 1

Appeared in Year: 2016

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Appeared in Year: 2015

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Appeared in Year: 2016

Question MCQ▾

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

Edit

Question 4

Appeared in Year: 2017

Question MCQ▾

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

Edit

Question 5

Appeared in Year: 2016

Question MCQ▾

Let be a piecewise continuously differentiable function on . Then the functional attains Minimum if is (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

Appeared in Year: 2022

Question MCQ▾

Which of the following is an external of the functional

That satisfies the boundary conditions and

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 7

Appeared in Year: 2022

Question MCQ▾

Consider the following Linear Programming Problem.

Minimize

Subject to

What is the optimal value of the objective function?

Choices

Choice (4)Response

a.

48

b.

52

c.

50

d.

56

Edit