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UCF - COT - 4210
COT 4210 Essay PromptAssigned: 3/13/2012Due: 3/27/2012 (before class over WebCourses)Maximum Word Limit: 1500Please site sources as necessary.Please turn in your response over WebCourses as a .doc, .docx, .rtf or OpenOffice document.Question:Inform
UCF - COT - 4210
COT 4210 (Discrete Structures II) Exam #1 SolutionFebruary 9, 20121) (15 pts) Let L, over the alphabet cfw_a,b,c, be described by the regular expression.Create a DFA that accepts the exact same set of strings described by this regular expression.(Not
UCF - COT - 4210
COT 4210: Discrete Structures IIExam #2 SolutionsMarch 22, 20121) (15 pts) Let L be a language that is Turing Recognizable but NOT Turing Decidable. Provethat it is impossible to create an enumerator E for L that enumerates L in lexicographical order.
UCF - PHY - 2049
Exam 2Name:Formula:Magnetic forces: F = qv ! B + qE , F = IL ! B!"0 I dl " rBiot-Savart Law: dB =4! r 2Faradays Law: ! = "Inductors: ! = " Ld# BdtdI, U = LI2dtMutual Inductance: !12 = " M 12Problem 1Problem 2Problem 3Problem 4dI 2dt
UCF - PHY - 2049
2049H Exam 2Spring 2010Name:#1#2#3#4#5Total:Problem 1:A battery with voltage V supplies current tothe circuit shown below. There are threeresistors: r is a constant resistor while R is avariable resistor.(a) Find R such that the power dissip
UCF - PHY - 2049
This is a mistake.These fields addrather than cancelbecause the sign ofelectric field is thesame
UCF - MAP - 3556
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UCF - MAP - 3556
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UCF - MAP - 3556
. U"eAre,"'A"'DI\S~' :. A ~wi~w,~A~c. c. ( 'P Ar+ 2 Ieontfotr#-ItOI\'T. ).LMA+r,xt~"eDcfw_rM)e xp(A\) iJ t \tf pril\e.'~' .(.uNl. M A'tt, of )(' =A>c(l"c) ~p( A-\) c iJ -+kf !) e N rA' Sb'Lt~il)l\"I.': A Yo. t ~ t~)~lt) ",s A CJ)ntil\~Ol4
UCF - MAP - 3556
. . l 'ne.( e,_~+ioftJwI c. c(par4- 3)e~p( A t) c , / t ht ~tftet"A) .tot",t"oW -tvIIj iMoJ. ) (': A~e" ~I ,I' e i"?(POT)Ln A w-~ cl,fH"et eijen'lal\A t J.\9- 1'I\l"'. n" n'1., ., ., n l'.wi"') . J ~, ~ , . ).cLt.+ (Aj.be +~e~tY\. e'~ff\J'
Purdue - MA - 266
Spring 2012, Math 266, Ordinary dierential equationsSection 62Instructor: Dr. Daniel SzpruchMid term 1, 2/15/2012This exam consists of 8 multiple choice questions. These questions are to befound in pages 2 and 3 of this exam. Please write your name a
Purdue - MA - 266
Spring 2012, Math 266, Ordinary dierential equationsSection 72Instructor: Dr. Daniel SzpruchMid term 1, 2/15/2012This exam consists of 8 multiple choice questions. These questions are to befound in pages 2 and 3 of this exam. Please write your name a
Purdue - MA - 266
Spring 2012, Math 266, Ordinary dierential equationsInstructor: Dr. Daniel SzpruchMid term 2, 3/30/2012This exam consists of 7 multiple choice questions. These questions are to befound in pages 2,3 and 4 of this exam. In the last page of this exam you
Purdue - MA - 266
Math 266Quiz 1Jan 201The radioactive isotope thorium-234 disintegrates at a rate proportional to the presentamount, that is, if m(t) denotes the amount of thorium-234 at a present time t, where m ismeasured in milligrams and t is measured in days th
Purdue - MA - 266
Math 266Quiz 2Feb 31Without solving the equation, nd the largest interval in which the solution of the initialvalue problem1(t + 3)y + y =, y (2) = 1(1.1)t+4is guaranteed to exist by the Existence and Uniqueness Theorem.Solution1Dene p(t) =
Purdue - MA - 266
Math 266, Section 62.Quiz 3Mar 2Name:Pid:Solve the problems systematically and show all your work.1Given that y1 =exxsolvesxy + 2y xy = 0,(1.1)xy + 2y xy = 0, y (1) = 3e e1 , y (1) = 2e1 .(1.2)solve the initial value problemSolutionLet p(
Purdue - MA - 266
Math 266, Section 72.Quiz 3Mar 2Name:Pid:Solve the problems systematically and show all your work.1Find the general solution ofy y = x + 1 + 2ex .(1.1)SolutionConsider rst the homogeneous equation corresponding to (1.1):y y = 2ex x + 1.(1.2)
Purdue - MA - 266
Math 266, Section 62.Quiz 4Mar 23Name:Pid:Solve the problems systematically and show all your work.1(4 pt) Find the general solution ofy (3) 4y + 13y = t + 1.(1.1)SolutionConsider rst the corresponding homogenous equation:y (3) 4y + 13y = 0.(
Purdue - MA - 266
Math 266, Section 72.Quiz 4Mar 23Name:Pid:Solve the problems systematically and show all your work.1(4 pt) Find the general solution ofy (3) 4y + 8y = t 1.(1.1)SolutionConsider rst the corresponding homogenous equation:y (3) 4y + 8y = 0.(1.2)
Purdue - MA - 266
Math 266.Quiz 5Apr 19Name:Pid:Solve the problems systematically and show all your work.1(4 pt) Find the solution ofy 5y + 6y = (t 4), y (0) = y (0) = 1.(1)SolutionDenote by (s) the laplace transform of the solution of (1). By the Laplace transf
Purdue - MA - 266
Quiz 1MA 266 Sections 21 & 31January 23, 2012Name1. Which of the following is a solution of y = 8y ?a) 8etb) t88c) etd) et 8e) e8t2. Which of the following equations is not linear?a) y = 4y sin(t)b) 2y = yyc) t2 y 3t3 y + 12t4 y = 2t 1d) ty
Purdue - MA - 266
Quiz 2MA 266 Section 21 & 31February 1, 2012Name1. Find an implicit solution of2x + 1dy=3.dxy 1a) y 3 = 2x + 2b) (y 3 1)y = 2x + 1c) y 4 4y = 4x2 + 4x 12d) 3y 2 = 2e) 3y 2 = x2 + x + 52. What method may be used to solvedyxy=+dxyx?a)
Purdue - MA - 266
Quiz 3MA 266 Sections 21 & 31February 27, 2012Name1. Which of the following is a fundamental set of solutions fory + 5y + 6 y = 0 ?a) e5t , e6tb) e2t , e3tc) sin(5t), cos(6t)d) e2t sin(t), e3t cos(t)e) 5e6t , 5te6t2. Find a solution ofy 4y = 0
Purdue - MA - 266
Quiz 4MA 266 Sections 21 & 31April 6, 2012Name1. Givenddtsinh(t) = cosh(t), sinh(0) = 0, cosh(0) = 1 and the propertiesLcfw_sinh(t)(s) =1,s2 1Lcfw_f (t)(s) = sLcfw_f (t)(s) f (0) ,of the Laplace transform, nd Lcfw_cosh(t).a)ss2 1s2 + s +
Purdue - MA - 266
Quiz 5MA 266 Sections 21 & 31April 20, 2012Name1. Solve the initial value problemy (t) = cos(t)y (t) ,y (0) = 1 .a) y (t) = tan(t)b) y (t) = ecos(t)c) y (t) = esin(t)d) y (t) = sin(t) + 1e) y (t) = ecos(t) + 1 e2. Find the general solution of
Purdue - MA - 266
Supplementary ProblemsA. For what value(s) of A, if any, will y = Ate2t be a solution of the dierential equation2y + 4y = 3e2t ? For what value(s) of B , if any, will y = Be2t be a solution?B. Using the substitution u(x) = y + x, solve the dierential e
Purdue - MA - 351
Revision Exercises for Chapter 3 and 4MA351December 101 4 33 4 .1. Find a basis for the kernel and the image of the matrix 12 1 12. If P is a polynomial with degree less than 2 we deneT (P )(x) = P (x) xP (x),(a) Show that P is a linear transform
Purdue - MA - 351
Chapter 2 Page 1Chapter 2 Page 2Chapter 2 Page 3
Purdue - MA - 351
Midterm exam Correction1Multiple choices, 20 points1. Any linear system with two equations and two unknows has one and only one solution.(a) No2. For the linear system2x + y + z = 3xy+z =0(a) There are innitely many solutions.3. The reduced row e
Purdue - MA - 351
Second Midterm examMA351November, 121Multiple choices, 20 points1. The dimension of the space of 2 2 matrices is 4.(a) Yes(b) No032. The vectors u1 =, u2 =01form a basis of R2 .(a) Yes.(b) No.1223. The vectors u1 = 0 , u2 = 0 , u2 = 0
Purdue - MA - 351
Revisions on Chapters 1-2MA3511Exercises1. What is the set of solutions for the following linear system ?x+y+z =1x + y + 2z = 22x + 2 y + 3 z = 32. What is the set of solutions for the following linear system ?x y + 2z = 1x + 2z = 25x y + 6z =
Purdue - MA - 351
Revision Exercises for Chapter 6 and 7MA351April 24, 20121. Compute the determinant of the following matrices andvertible or not21 4 311 43 4 ,, 10132 1 102. Let A =111 1. Compute the eigenvalues and corresponding eigenvectors of ADeduc