Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, D = {(x, y)| x2 + y2 ≤ 1}. Use the method of Lagr
ange multipliers to locate the maximum and minimum points for f on the unit circle. Use this to determine the absolute maximum and minimum values for f on D. maximum minimum
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Answer:
x = 16
Step-by-step explanation:
Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
11x = 8(6 + x) ← distribute
11x = 48 + 8x ( subtract 8x from both sides )
3x = 48 ( divide both sides by 3 )
x = 16