Solutions THQ6 - MATH-1326-THQ_6 22:59 if” €229...

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Unformatted text preview: MATH-1326-THQ_6, 2016-02-15 22:59 if” €229 LUl’Z/éi/M g XXXOOOO . 001 — 503 (Printed First Name) (Printed Last Name) < Net ID ) (First Letter of Last Name) < Section > Take Home Quiz 6 Penalty Instructions 1. Fill in the requested information on the line above. 2. This handout is due at the beginning of lecture on Tuesday (03—01—2016). One point penalty per minute late. Submit right away, don’t wait for the end of class! THQ with missing name will receive 10 points penalty. 3. This handout must be printed out and. You may print it single sided or double sided. Failing to print costs 10 points. 4. This handout must be stapled. Failing to staple costs 10 points. Your work must be hand written on this handout. 6. You must show all work. You may receive zero or reduced points for insufficient work. 7. Your work must be neatly organized and written. You may receive zero or reduced points for sloppy work. 8. Only a subset of these questions will be graded. You will not be told which questions will be graded in ad— vance. 9" Due Date: Tuesday, 03—01-2016 Page 2 of 8 MATH-1326-THQ_6, 2016-02-15 22:59 ’roblem 1 Evaluate each of the following improper integrals. Ia) 0 / 56—53”+2 dx ': O x [4'4 +1., tIWW & 5a . a?» ~00 ii [1/74 0 . a 54+ 2. a L) 8 5L v) -06 ’5’ fix / «*5’107} 2. ~ch +2, \le ‘I I :; hw- .j. (b) ' a~ m“ / °° ' ~——> \ —5x+2 32‘ ’ /0 56 d3: ’6, “XE” ( m Kb “y+z \ ,- q, "'5 5: \WV“ 5 6: \> a we a r, war/‘9'? 2’ \> I 6 2 r ,5 ' C,"\3~2_ + \3 A «74?- " ’5 0‘ 6 r mew 6‘36 “’5 L) IL (C) a?) 6 0° 30 d /0 (2x+1)31 9” l \> 20 NCWEM (A: >444 : \Wv- M v “‘79 dd 6 2&4 ' ‘p m ’r\ » ‘ ’ iCbVw I. { 2 [17$an 0 ’ (/— ‘J M L Eu \5 ‘9 00 “30 \ J, J" t Ll} r“ ' “l P ' "20 33-3; ’mefi36 2 C ‘3 Page 3 of 8 MATH~1326—THQ.6, 2016-02-15 22:59 ’roblem 2 Evaluate each of the following improper integrals. (a) 30 c 0 ‘ I ~"‘£ 7i) +4: ,A w4ew5+6 do; 3:“ /'VV“ />L I I .5 “f, I /—°° fl ._) « rod [2. a {i " Al; (A 5 +69 I G “(d ~_ "I A; , a :2 inf;— 6: J; FLA 1 _ '3 s A» ‘3’ L“ (L “‘9' ya a (b) « fiq * I ‘ 3 ‘12:, “W HAN ’_ 2" Ci (page W *2) & J] j, -— :L— "76” ( 2/07 (Na? 4-4? c2 3 «w “L, n vex/5% Page 4 of 8 MATH-1326-THQ_6, 2016-02-15 22:59 ’roblem 3 Evaluate each of the following improper integral. 0" 49: Lo <\/(x2+2)3) dm & “ ~al\ 'ffi Z M =5 M l «4319 L) a 4’ 0 U1:- 7(er $ f h A : I‘m/\- N‘g 'A/pqez’ Aurrlmw '7‘ + "W‘ “F1 ML have V3414“; xu C X, -x/ZV :1. ) x 4 4 : ,4? ‘ ‘W‘ “j: J” (9: + «’7/ aravem U; Vfiz+z ‘ H L w 7 U” liW- 7/; l)???“ \i’EfiQ \Il 2 W ‘F /—+ 1‘“ WE» \xz, Page 5 of 8 MATH—1326-THQ_6, 2016-02-15 22:59 ’roblem 4 Find all first and second order partial derivatives for each of the following functions. Find g 2 fm, g; = fy, % : fmma gig: Z fyy: "5% = fya: and $ 2 z = f(x,y) = 2:33 + 6313 — 5w2y + 3223312 + 3 “1 2 a I L .. 4‘ Z iw éx iaxu\f% 3 fix w, I‘K‘rjlqgfil floq'VLKI J / 1 [MW ' ’7’ 7"” ’0 7 ’ ., 3 [p 9 w )0 «f + (b) 2 = fix, 3/) = z = f ($7 9) = 44—5”) ‘E, Z.» L0U$ Vi /_ 2 4’C7C Vida, iifiz: 95 fl 6 j =—Q§¥j€4 m -g‘ ’30, {\A _ 2? ‘V'fiwfl " 3’56“ 3 “WW on / z = f(xay) = In (5:132 +3y2) .13. Page 6 of 8 MATH-1326-THQ.6 , 2016-02-15 22 :59 . O 2 f 2. _, Page 7 of 8 MATH-1326-THQ_6, 2016-02-15 22:59 ’roblem 5 Find all first and second order partial derivatives for each of the following functions. Find May), fy(w,y), fm(w,y), fyy(w,y), fyx($,y) and fxy(w,y)-) a z = m, y) = e<¢2—y2-m> 1'72; 7 . 3y: 6"4 fl 1%“ (24<Zfi\ , _2_ 4 L1" 5/] j A; (Jam—An £49? : E’fzw‘jfi—LW (‘_Z!+,’;.j\<1/+_2Ad\ + 2 fllz’flzfil/lW — {nEl4w l 6% /¢23«24)(.27al,\m f, 2 a Ail ' lqml ('1 Page 8 of 8 MATH—1326-THQ_6, 2016-02-15 22:59 (b) 24% ,y 5" Z:f(x’y)=ln‘( 234% QEMWQ: my» swws’w ** Maw-fl ...
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