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 » EulerLagrange Equation
Appeared in Year: 2015
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
Question
The curve of fixed length , that joins the points , lies above the xaxis 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
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 » EulerLagrange Equation
Appeared in Year: 2017
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 
