Show that the maximum value of the function fsx, yd sax 1

Chapter , Problem 8

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Show that the maximum value of the function fsx, yd sax 1 by 1 cd 2 x 2 1 y 2 1 1 is a2 1 b2 1 c 2 . Hint: One method for attacking this problem is to use the Cauchy-Schwarz Inequality: | a ? b | < | a | | b | (See Exercise 12.3.61.)

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