quiz8solutions

quiz8solutions - Math 241 Quiz 8 Name 0 Read problems...

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Unformatted text preview: Math 241. Quiz 8. 4/1/09. Name: 0 Read problems carefully. Show all work. 0 There are 15 points total. 1. §14.8, #9 (7 points): Locate all relative maxima, relative minima, and saddle points, if any for the surface fmw=f+w+w+h+a ﬁx: Yﬂfo (=9 Y=‘2. £7: gym“? :0 {=3 QC'2)+)6H: X—Lw €=9 X31. Yro 2. §14.8, #27 (8 points): Find all candidates (as in the examples we did in class) for points (2:. y) where the absolute extrema of f(m,y) = my ~56 - 32/ could occur on the triangular region R with vertices (0, 0). (0,4), and (5,0). I am only asking for the candidates; I am not asking that you test them. ﬁx: 7—150 _—=-7)/~'-':L'%:g C.€.k4(¢,71.\, ﬂycx-S :2) =7 x:3 L< "Ki-CZ) ++=-7{3,1\‘L;H;h 0h y=0 " 95ml} : um -— \7<5 u’m :4 7‘0 7 W. * - ~ / 7:17 Cf. QR Xe'O ﬂew/x : vm z ~3)I‘ V(y]= -a 140 9h x/z'ijf‘f‘ ', ghévyl ': [xx/(KW: X(’—¥,XFCP)'7C'3(’%25+CA : —ixL+Zj——X~ )7- . S‘ 5" w’/m:~i_>_<.+z: :0<‘-—=9 x:22iZ) ,_4’7~~ :ZZ—Z—i—ﬂrflé— ‘ “3479“? 14> [43 f ...
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