Show that the maximum value of the function f (x, y) = (ax + by + c)
Question:
Show that the maximum value of the function
f (x, y) = (ax + by + c)2/x2 + y2 + 1
is a2 + b2 + c2.
One method for attacking this problem is to use the Cauchy-Schwarz Inequality:
|a • b | < |a||b|
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Let u a b c and v x y 1 so u a b c v x y 1 and u v axbyc Then by the CauchySchwarz In...View the full answer
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