Suppose that you have the functional J (a) = [ f {y (a, x), y' (a, æ); x}dx where y (a, x) = 3x – a cos? (x) and f = (y')². What is the minimum value ofJ (a)?97T

Given, Jα=∫-π2π2fyα,x,y'α,x;xdxyα,x=3x-αcos2xTherefore,y'α,x=3+αsin2x

Answered: Suppose that you have the functional J…

Suppose that you have the functional J (a) = S². ƒ {y(a, x), y' (a, x); x}dx where y (a, x) = 3x – a cos² (x) and ƒ = (y')². What is the minimum value of J (a)? 37 97

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Question

Suppose that you have the functional J (a) = [ f {y (a, x), y' (a, æ); x}dx where y (a, x) = 3x – a cos? (x) and f = (y')². What is the minimum value of
J (a)?
97T

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