A rectangle is placed inside a semicircle of radius r, with one side along the diameter. What is the largest area the rectangle can have? There are at least two ways to set up variables you can use the coordinates of the upper corner of the rectangle, or you could use the angle the arrow makes with the diameter. Here, r is a 'parameter', to be treated as a fixed constant.

Advanced Engineering Mathematics
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ISBN:9780470458365
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A rectangle is placed inside a semicircle of radius r, with one side along the diameter. What is the
largest area the rectangle can have? There are at least two ways to set up variables you can use the
coordinates of the upper corner of the rectangle, or you could use the angle the arrow makes with
the diameter. Here, r is a 'parameter', to be treated as a fixed constant.
Transcribed Image Text:A rectangle is placed inside a semicircle of radius r, with one side along the diameter. What is the largest area the rectangle can have? There are at least two ways to set up variables you can use the coordinates of the upper corner of the rectangle, or you could use the angle the arrow makes with the diameter. Here, r is a 'parameter', to be treated as a fixed constant.
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