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### ase330m_f08_hw03

Course: ASE 330M 18510, Spring 2011
School: University of Texas
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Word Count: 353

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330M ASE Linear Systems: Fall 2008 Homework #3: Due 10/7/2008 by 5PM Consider the linear systems described by the differential equations below: a) D 2 5 D 6 y t D 1 u t u t 6 y 0 2, y 0 1 b) D 2 4 D 4 y t Du t u t sin 3t y 0 3, y 0 4 c) D D 1 y t D 2 u t u t e 3t y 0 1, y 0 1 d) D 2 9 y t 3D 2 u t u t t y 0 0, y 0 6...

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330M ASE Linear Systems: Fall 2008 Homework #3: Due 10/7/2008 by 5PM Consider the linear systems described by the differential equations below: a) D 2 5 D 6 y t D 1 u t u t 6 y 0 2, y 0 1 b) D 2 4 D 4 y t Du t u t sin 3t y 0 3, y 0 4 c) D D 1 y t D 2 u t u t e 3t y 0 1, y 0 1 d) D 2 9 y t 3D 2 u t u t t y 0 0, y 0 6 e) D 2 4 D 13 y t 4 D 2 u t u t e 2t y 0 5, y 0 15.98 Problem #1: For cases (a)-(e), find the characteristic equation, the characteristic roots, and the characteristic modes. Use these results to identify the general form of the zero-input solution for each case. (Hint: You DO NOT need to evaluate using coefficients initial conditions yet) Problem #2: For cases (a)-(e), find the zero-state solution associated with each of the inputs provided. Problem #3: Use the results from Problem #1 and Problem #2 to identify the complete solution to cases (a)-(e) for the initial conditions provided. Verify your results are correct by numerically integrating systems (a)-(e) in MATLAB and providing plots of y t vs. t for both the exact solution and the numerically approximated solution. For each case, provide exactly ONE figure. Each figure should contain two curves, the exact solution as a solid line and the numerically approximated solution as a dashed line. Include a legend to identify both curves and label all axes.
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University of Texas - ASE 330M - 18510
ASE330MHomework#4Problem#1:1.22(Textbook)Problem#2:Consideradifferentialequationin y t characterizedbydifferentialoperatorsQ D D 2 D 3 ,P D 1.Supposethesystemisinitiallyatrest( y 0 0 , y 0 0 ).Findthecompletesolutioniftheforcinginputsignalisgiven x
University of Texas - ASE 330M - 18510
ASE330MHomework#6DueDecember5th,2008ReadingAssignment:Sections4.5,4.7,and4.8Problem#1,Fortheunityfeedbacksystembelow,identifythefollowingquantities:(a)Theplanttransferfunction, Y s / U s (b)Thecontrollertransferfunction, U s / E s (c)Theclosedloopt
University of Texas - ASE 330M - 18510
ASE 330M Homework #1 (Review of Vectors &amp; Dynamics)Due: Friday, September 14th.Reading Assignment: Read Chapters 1-3 of Torby (available as PDF from blackboard)Problem #1:During the encounter with the asteroid Gaspra, the Galileo spacecrafts position
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
ASE330MFall2008:Homework#2DueMonday,September29thThe diagram below illustrates a particle P of mass m that is constrained to move radially along arecessed channel on a spinning turntable. The motion of the mass is subject to some stiffness andfriction
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
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University of Texas - ASE 330M - 18510
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University of Texas - ASE 330M - 18510
~\i\ ~ ca M~\s ~ 0 oh. A.r, e=:5(tF BD: l+- e~&quot;bl' - v'-~e -op'PA13r~&quot; 'e3&quot;'-tl-0H--0M =~'D-0M. a&quot;'AA:-=-)v\b~-~-~-\JX:it 13-t A\'L b&quot;z +.&quot;' +~f\b~ + ~1-b~--~-~-At=JJ\'J,00twJ,z'e :~-.t\-lfoM.\1&amp;-2~-f/
University of Texas - ASE 330M - 18510
-LA01cfw_\ ~Cc:~l)c/c.l.A1- 00D0:=.bii&quot;,1tz,US! 1tu&quot;A.lIJA-xISlkoWv--=To0,;:c:= C./ 0Thl'2--.B,,, C&gt; IIl:)tJ~0olC&gt;D\&quot;3~'2M0=--_0+tIe.~cw-C/oetC;e~cw00eo- 0_0t\-2.1 n ,3t\~ee-1)H-,
University of Texas - ASE 330M - 18510
l et-iu~ e- =tt= lR.9/ tol~oJLoAQ.(2i(~ [N+eJ'(a-h'~ = 7 A-PPR-at(.of- ~ '1Jw-llv\&amp;rl&quot; oldN/vv\l(! bdw~. t -.- -l ~ tLll\.tho.R &quot;I\cfw_)J(\J~ ~.Ie i. ~ t\M-tt f ex):=; ; = .;.~te I/t'Ll-ov- ~ ilt;)f~L- ~.of- 1:Xlt~ : I lUIW cY cDNd. i~' ~-=
University of Texas - ASE 330M - 18510
e.&quot;':'-OPrI .L:=C~)&lt;&quot;f:e.-oP~ Y-(re~-\-'S ~)~ t- lre +.~ So')l-~1e,.\- t(~40So -\- lv-B ~)4 1~z.: [-re'2.~- 5~&quot;-Y~- (&quot;e5E&gt;1~.&amp;&lt;.~oP'&lt;e =\-(&quot;.;Ce +-'~V~t\ -Y9~ - ~ - r9 Se.l ~+L-r9&quot;'~&amp;+recel~'Z-fl. 4. F.&gt;Ot.\~( j):~ C~.l&quot;~i.~1: ~s:e.
University of Texas - ASE 330M - 18510
LeJ:J-(.q o\4a-fe -fk\ V'\~Je.stj~Cl)&quot;) -=~~' tilbJM\;~ ~-Lv o.j.i'kb\e~Cl-t-@0+- ~j +~ ~ f~) =- /A it ,70 ~o)\llol.okfcfw_etlM-h'4 &quot;fer2o.:M&lt;.~~l1?~lt)~ 'tC0~UL+)Qcfw_t-'(S-C1)-=-D t~1)2-:1)~1) + ~. 1dt.~dtz( 1)'L +- ~1) + 7'M
University of Texas - ASE 330M - 18510
5 1\-'[,- l()-:- -~-:_b_uJ_ee~_lotel\~'~ .:! e i : Cos ()f i SiN eI e- 11\ 0fti~i=f-J-~-~-~-~-~-~-~-~-~ ~-\.-~-~&quot;Jr :=-A- : 1 CAs ~ -I L ~itJ 9:- Cd):; = -SiN'G- -I:- C Co s 9dEt-' = [ [tS '~i~&amp; + cose:]- -A14k.:- ct~-~ ~\ f)it.ed&amp;
University of Texas - ASE 330M - 18510
Le cAu e =#' n: 9J-l \ O'gCQ Cl)')~l-h)1 (t)~ ~ l-t-Lr = T&gt;Ll)tt(+)+ &quot;j- LtJ~~-~:f:(20- oS~-le.mputt~p&quot;,a:tTlU (c.,L7f-fA'-'V,. ~l'.OV ~ 'rW'I\I\C.AU ,-Las+ 1(Me;VcQ C~) = 0 ~?~~o It):= ~ C~- C:x. '.(J):J b ([AtIi.K:. (
University of Texas - ASE 330M - 18510
cqLD)~lt)= 'fCD)u.Lt-) lA-lt-):- Ums~t:-~(t)~ c CDYCo)C~lO)L&quot;/ ~ ~ &lt;Q()~O:. -t\.~ 0(1.,.r'1 l . t~ ~ Ck. ji!o,?-\- '&quot; t. ~ c (; .@tAU:'): C.~t&gt;L+);:-te.ptCyL1~ ~(Q l-f&gt;Ly\~ve ~\'V cQ(i) t:. + cfw_~-~0ec,\')1- ,f ~~ + 4 S+ 4J.:j to
University of Texas - ASE 330M - 18510
C .gi~lOt 1j + ~ T~: ~;:~CD):+-~ b +It:/M=1?(\)Q1)'2.:n \ ~lOJII 2 + c/tit~ + ly~J;-N0l+ 0-\&amp;0\-5&gt;:.lD~ et(i ei'\~ ~f~ 'J~=&quot; \:-1cfw_t+J 'A-\1\ J A&quot;LId.l~) ~ ~\~ J~ ~Ci)'-0,;&quot;2- (e\s-h&quot;o-d ') &quot; A,t~t : c ,e 1- cl-ecfw_ \
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
University of Texas - ASE 330M - 18510
UNSW - ACCT - 2542
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UNSW - ACCT - 2542
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UNSW - ACCT - 2542
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UNSW - ACCT - 2542
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UNSW - ACCT - 2542
7/11/2011Chapter 25Consolidation:non-controlling interestPrepared byEmma HolmesNature and calculation of NCI AASB 127 defines non-controlling interest as thatportion of equity of a subsidiary attributable to equityinterests that are not owned, di
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7/11/2011Chapter 26Consolidation: indirectConsolidation: indirectownership interestsPrepared byEmma HolmesDirect and indirectnon-controlling interestConsider the following group structure:P70%NCIS30%S60%NCIT40%T P controls S and S contr
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