12.7_some_lec_ex

12.7_some_lec_ex - (E(the absolute maximum and minimum vaiues of a continuous function f on a closed bounded 1 1 Find the values of f at the

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Unformatted text preview: (E) ,(the absolute maximum and minimum vaiues of a continuous function f on a closed, bounded 1: 1. Find the values of f at the critical points of fin D. ‘ “ CK . .52/w29‘ PAS I 2. Find the extreme values of f on the boundary of D. Q— 3. The largest of the values from steps 1 and 2 is the absolute maximum value; the smallest of these values is the absolute minimum value. EX 4 Find the absolute maximum and minimum value of f (x, y) xy ax — 2 y on the triangular region D >03 €z: " ¥ Mm -— QW+ aww +11? -». Qxawfiqawywj * $(%§+%+ xtfim 065%: CC},ng '= (Q 4%(95 Jr X5 (94% +4’Lja0\ z (01%344-9A0 )L"'+50‘7<j\ W {szijigflgbsgofi Soérgig ACM- (Aux) C‘J “ 'gflimox-zo / 3’ X3. brig; *_ 0 L32 / XLSQX : “L‘QILB 35m: 30 354:)???“ 233%? £713" ... “7°00 * 10‘ W30 B’fi'Q/gfffb‘fi "M 1/:(h9'3 *}wv;‘k\m\r\ t l flap-(LL N a}; Elma»; 7_ __ V ij * . fl. __ mv‘_~’.__S¢DL;_&~%§§-£AA;_WW:JAY&; W.__A_,__-A,___$-1fi9+;;yz:m¢r; 403; ‘ _ _; Mme—g ,ng i=_£Lafi_-M:Q~H\;__ A] 53 2 —2(1x\-—.1((33:;H3g9@9 ...
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This note was uploaded on 02/11/2010 for the course MATH 2224 taught by Professor Mecothren during the Spring '03 term at Virginia Tech.

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12.7_some_lec_ex - (E(the absolute maximum and minimum vaiues of a continuous function f on a closed bounded 1 1 Find the values of f at the

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