Question

A rectangle is to be inscribed in a semicircle of radius 4 cm as shown in the following figure. 4 cm (a) Find the function that models the area of the rectangle. A(?) = (b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin(u) achieves its maximum value at u = ?/2.] cm2 (c) Find the dimensions of the inscribed rectangle with the largest possible area. (Round your answers to two decimal places.) smaller dimension cm larger dimension cm

          A rectangle is to be inscribed in a semicircle of radius 4 cm as shown in the following figure.
4 cm
(a) Find the function that models the area of the rectangle.
A(?) =
(b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin(u) achieves its maximum value at u = ?/2.]
cm2
(c) Find the dimensions of the inscribed rectangle with the largest possible area. (Round your answers to two decimal places.)
smaller dimension cm
larger dimension cm

A rectangle is to be inscribed in a semicircle of radius 4 cm as shown in the following figure.
4 cm
(a) Find the function that models the area of the rectangle.
A(?) =
(b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin(u) achieves its maximum value at u = ?/2.]
cm2
(c) Find the dimensions of the inscribed rectangle with the largest possible area. (Round your answers to two decimal places.)
smaller dimension cm
larger dimension cm

Added by Michael W.

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