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Consider y = x^(2) and f (x)where f (x),...

Consider `y = x^(2) and f (x)`where f (x), is a differentiable function satisfying `f (x+1) + f (z-1) =f (x+z) AA x , z in R and f (0) =0,f '(0) =4.` If area bounded by curve `y = x^(2) and y=f(x)` is `Delta,` find the value of `((3)/(16), Delta).`

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