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Claude Shannon is credited with defining the entropy of a signal as follows. Model a signal as an infinite sequence of symbol

Let D- (x, y) | x 2 0,y 2 0]. Determine if the improper integral e-2y- dA converges. If it does, enter the limit below; if no

Claude Shannon is credited with defining the entropy of a signal as follows. Model a signal as an infinite sequence of symbols. If there are n symbols, and x, is the relative frequency of the i-th symbol, then the entropy is One shows in MATH 1500 that lim,-0 xinx on the set 0, so h is a continuous function Find the maximum value of h on D
Let D- (x, y) | x 2 0,y 2 0]. Determine if the improper integral e-2y- dA converges. If it does, enter the limit below; if not, enter D (for Does Not Exist).
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