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Expert: - 3/26/2006


Question
what is the maximum area of a stadium (ice rink shape) whose perimeter is 200 meters

Answer
Hi, Greg,

You wrote:
area of stadium
Question:  what is the maximum area of a stadium (ice rink shape) whose perimeter is 200 meters   
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Sorry, but I am not sure about the shape of this stadium.  I am in a warm climate and the only ice I see is in the freezer.  How is this ice rink shaped?

Exactly a rectangle?
A rectangle with two semicircles at the end?
A rectangle with four quarter-circles at the corners?

Without this, the problem is undefined.

Calculus

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Paul Klarreich

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All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

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I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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