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# OleMiss - Math 264 - Study Guide - Midterm

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OleMiss - Math 264 - Study Guide - Midterm

##### Description: It covers example problems for first midterm. Similar type of questions will be on the test, so this should help you with the methods to solve the problems.
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Join more than 18,000+ college students at University of Mississippi who use StudySoup to get ahead
##### Description: It covers example problems for first midterm. Similar type of questions will be on the test, so this should help you with the methods to solve the problems.
12 Pages 25 Views 20 Unlocks
• Notes, Study Guides, Flashcards + More!
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Unformatted text preview: Ausly guide: Cal-4- zum I 1. Compute .. the cinctional derivative of f(x,y) = Ln (8 + m2ty) at pcs,-) in the direstim i Solution: <12> AF Cny - 3+ z2ryt 8+**y) P4, 3) = (.58249 C L-)= =32 K OHA (4,250V+8 , la = df (4-1).7 E (TE SA- TABS 22 ) 'directional deri sative i D. 9.2klose... Legrange Mullorplieno.. to.- flrd... the maximum & mainimese values.i. [(4,19,2) - Erre subject to . atty 2 = 16 Solutions fory): 22 122 g(xyet): X2 tyd 322-16 > O.yf'lky, ) - 79 (x,y,r): <2,0,2 => < 28, 29, 62) No. MU 2. - 4.2 -D O : Y- 22 : 2 --- here in 22 - 2 = m, 22 C 1- 32) = 0 eitu, TAK L : A : 1/3 ZOD/3 - /3 Take 2,0 2y =0 in ackoy, 2. , * * = 4 920. -- put x=38 yao in guy,t) the required point are 4, 3,2 + C+ 3 2 = 16 (3.0, ),C3,0,-D), (4.0, and (-4,070) .. IVF 85, 0 223 + 73j* 615 1847 25ja 503,0,7%): 2533 Therefore, Maximum value = 2% fur ) - 4+2 = 8 - ------- Miniro.rr value fc-90,0) --4x2 - B ..... - -5. Solution: find equation of planes passing that through ,-, 3) is or thagonal te plates 2x+2y-5res ard -x + 3y +2 2 33 ------------ Normal of the plane 22+2y-S2 2 0 : *: <2,2,-5) _ , - x^3y + 2 + 3 : 1-1.3, 2> Nos w 2:n ny - <2,2,-5) xk-1, 3,2) = ( 457(4-5), 5+2S > 413, +5, 82 : 419. 1, 8) lot, M(x,y,r) be a point the plane then AM (x, yts, S2-3) Hruly ---- .7 -0 *, (, yes, z-> 19, 18) 19% + 8z - 240 13x +y + 3x - 19 20 she the plane required equation f --

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