Determine all real numbers a > 0 for which there exists a nonnegative continuous function (x) defined
Question:
Determine all real numbers a > 0 for which there exists a nonnegative continuous function ƒ(x) defined on [0, a] with the property that the region R = {(x, y); 0 ≤ x ≤ a, 0 ≤ y ≤ ƒ(x)} has perimeter k units and area k square
units for some real number k.
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First do an example Let a 4 and fx 4 Then R is the square 0 x 40 y 4 ...View the full answer
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