MATH 2D Study Guide - Final Guide: Lagrange Multiplier, Fast Fourier Transform, Carnitine Palmitoyltransferase Ii

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22 May 2019
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When solving for the maximum or minimum over a closed domain d, we had to check for critical points in the interior of d and also separately had to check the boundary d. Ix o x o f121 8 min f161 12 max fl 21 8 min. Unfortunately, the boundary extrema cannot always be solved using substitution. So how do we nd the max or min of f (x, y) when the constraint g(x, y) = k must hold? lettitibethespacecurvesatisfyingguilt1 k. Andletglt guilt k constantfunction f tilt guilt 77g ttt. The method of lagrange multipliers says that we can set of points satsifying both. Of (a, b) = og(a, b) for some r and g(a, b) = k. What is the maximum or minimum of f (x, y) = 2x2 + 3y2 when x2 + y2 = 4 ? ghay k. Cp 0,211021 ma f10,21 2. 043022 12 f1021 2. 0231212 12 f12,01 2. 243. 02 8 min fl 2,61 2. 121213. 028.