It seems the image you provided is not visible. To help you solve the problem, could you please describe the problem in text? For example, is it about finding the maximum area of a rectangle inscribed in a semicircle, under a parabola, or another curve? Providing details like the equation of the curve, constraints, or what needs to be maximized/minimized will allow me to assist you effectively.

If we assume a common problem (e.g., maximum area of a rectangle inscribed in a semicircle of radius (R)):
Let the rectangle have width (2x) (symmetric about the y-axis) and height (y). From the semicircle equation (x^2 + y^2 = R^2), (y = \sqrt{R^2 - x^2}).

Area (A = 2x \cdot y = 2x\sqrt{R^2 - x^2}).

Take derivative and set to zero:
(A' = 2\left(\sqrt{R^2 - x^2} - \frac{x^2}{\sqrt{R^2 - x^2}}\right) = 2\frac{R^2 - 2x^2}{\sqrt{R^2 - x^2}} = 0)

Solving (R^2 - 2x^2 = 0) gives (x = \frac{R}{\sqrt{2}}), (y = \frac{R}{\sqrt{2}}).

Maximum area: (A = 2 \cdot \frac{R}{\sqrt{2}} \cdot \frac{R}{\sqrt{2}} = R^2).

Please share the exact problem details for a precise solution!
Answer: (Depends on the problem; for the semicircle example, it's (R^2))

But since the image is missing, I can't give the exact answer. Let me know the problem text!

(\boxed{}) (Fill in after getting the problem details)

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