Using the Euler-Lagrange equation a) Find x(t) (as an equation) which minimizes the following objective function...

 

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Using the Euler-Lagrange equation a) Find x(t) (as an equation) which minimizes the following objective function 1-110 [(x-¹) (x²(t) + 1)¹/2 ]dt b) Determine the parameters in a) if x(0)-2, and x(t) terminates on the curve y(t) = -4t+5 Using the Euler-Lagrange equation a) Find x(t) (as an equation) which minimizes the following objective function 1-110 [(x-¹) (x²(t) + 1)¹/2 ]dt b) Determine the parameters in a) if x(0)-2, and x(t) terminates on the curve y(t) = -4t+5