3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as below. Find the dimensions of the track that encloses the maximum area. What kind of will a track of maximum area have?

College Algebra
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Chapter5: Polynomial And Rational Functions
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Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown
below. Find the dimensions of the track that encloses the maximum area. What kind of shape
will a track of maximum area have?
Transcribed Image Text:3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown below. Find the dimensions of the track that encloses the maximum area. What kind of shape will a track of maximum area have?
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