Question: A rectangular bird sanctuary is being created with one side along a straight riverbank. The remaining three sides are to be enclosed with a

protective fence. If there are 32 km of fence available, find the

A rectangular bird sanctuary is being created with one side along a straight riverbank. The remaining three sides are to be enclosed with a protective fence. If there are 32 km of fence available, find the dimension of the rectangle to maximize the area of the sanctuary. (Give your answer as a whole or exact number.) length of fencing perpendicular to the riverbank: length of fencing parallel to the riverbank: km km Find two positive real numbers such that the sum of the first number squared and the second number is 300 and their product is a maximum. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of two values.) numbers: Find the positive number x such that the sum of x and its reciprocal is as small as possible. (Use symbolic notation and fractions where needed.) x =

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