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For what values of a in [0, 1] does the ...

For what values of `a in [0, 1]` does the area of the fiqure bounded by the graph of the function `y=f(x)` and the straight lines `x = 0 x = 1 & y = f(a)` is at a minimum & for what values it is at a maximum if `f (x) = sqrt(1-x^2)` Find also the maximum & the minimum areas.

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