Worksheet4_Solution

# Worksheet4_Solution - «may Q{s Worksheet#4 Extrema 1...

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Unformatted text preview: «may Q; {s Worksheet #4 Extrema 1) Determine the values of k that generate saddle pt, local min, local max, or is inconclusive at (0,0)? f(x,y)=x2 +I’cxy+y2 F‘g‘g give: “ a s3 §3%”§ {a 3-": m “j; m: r ,. ,m :1; , 4.! ~ m a» ﬁ» P‘- 4 3e e K "i “‘3 3 if“: a: ' * a ,» we I r :1: Q t: ., :1 D 11>» e- m} I" “W. X - » :t \P 3f .f‘; \' '4' _ M M 5'" w 9» fall; a. r, g is W at} 1% (”via , a 3 3; 221 a a “-' xi «I w. ’ K , V? t ‘ i _ _ x w ”A y { g» L m ammo“ 7 V ,_ W ‘ f 2 » , EE \ , . x v“ ,3 5:; *3 Q} 12‘; 1‘ r A v Q 573 ; a 3‘ g x N” l, . m e. a ‘ “23%“ a: { :Q m ‘4 I ~3 u 2; a a; a» :3 Li; V” ”a “a: E _ ,m 4‘ l 3 ' 5‘ E 34%;; 53“” mil :‘zyeﬁ 2) F 1nd all local max1rna, local mmlma, and saddle pts of f (x, y) 2: y smx. V, f” a, l p U K1: , ﬂ / MS 3): ”3‘ N 3 ¢ 9; ” w as;- g? m; l t"- :s‘ ¢ i g) v! «(In 5 e a}; 'W . , e m‘ 1 w r g 3; ‘- w ~ g: :1. m 3;” ‘ V K 3 3‘ 3 1:3»: ~ ¢ ti “ 3" V E 3” .ﬂ ‘1 5; x l; ’ 3 in \ ."k “‘3” o a (L ; \$2.? w» 4:23 {3 * T t a: a; 5 4:: 3 J i) «Q ‘2 » «~ ,. v‘ 5:: ex z; W +333 W39» Qr ﬂaws-“t“; ~ *e t E 5! h ; m, m :4 ”‘7 " ”' L.“ ‘ A Iii». e“ ”:3 WWW ; “K we g 4.5; a . , 4 E i ,4 Q , Mr 3 3 x e w,“ W; WEI; g M; a ” §, \ _ (A? , {\a 3‘1“ A we gm m _ w , my ‘ ,L 3% 2:; «:6 l {59' «r a" «‘5- 73” )1”; m f“ A ‘23 M «”5 ‘3' mew 3“" 3; i» F‘ «1* were X 3” (23's “3'33; W 2%” Q 3“ m 3?? fa} ”1" ~33 ‘ W“ . 23 m f g :1‘ * "A J v' ﬂaw» m ‘1‘; ‘m L H S «3‘: S ’& ...
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