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. |
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. |
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 |
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 |
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. |
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. |
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 |