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P.o.t.W. #1

■ GDC is allowed ■SL: parts (a) & (b) HL: all parts(a) Determine the exact area bounded by the graph of \(f\left( x \right) = \sqrt {4 - {x^2}} \) and the x-axis.(b) Consider the function \(g\left( x \right) = \sqrt {\frac{{x + 2}}{p}} \) where \(p > \frac{1}{2}\). (i) The graphs of \(f\) and \(g\) intersect at two points. Write down the coordinates of the point of intersection where the x-coordinate is negative. (ii) Region R is bounded by the graphs of \(f\) and \(g\). Find the value...

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