Question: Math 135Exam #3 Version ASpring 2023. Consider a rectangle inscribed in a semicircle of radius 10 as shown in the figure below. You seek the

Math 135Exam #3 Version ASpring 2023. Consider a rectangle inscribed in a semicircle of radius 10 as shown in the figure below. You seek the dimensions of the rectangle with the largest possible area. Let w and h denote the width and height of the rectangle, respectively.(a) Identify the constraint equation. Hint: Consider the right triangle shaded in the figure; its hypotenuse is a radius of the semicircle.constraint equation:(b) Find the objective function f(w) in terms of w.

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