Advance Math question and answers for July 04, 2023
- Q Let E = Q(√a), where a is an integer that is not aperfect square. Show that E/Q is normal
- Q 30r+45d10r+15d≤180020r+25d≤25006r+15d≤1500s.t.a) Use the Graphical Solution Method to solve the linearprogramming problem (label all functions, corner point points, andaxis).r≥502d-1r ≥0r,d≥0 or all variables non-negative
- Q Let W be a subspace of Rn. Prove that W⊥ is also asubspace of Rn.
- Q find a linear combination for gcd(259,313). useextended euclidean algorithm.what is inverse of 259 in z subscript 313?what is inverse of 313 in z subscript 259?
- Q Here are five different functional models that might representthe growth of the number of Zika cases, where x representsthe week number, and y represents the number of cumulativecases.1. Linear y...
- Q The Fibonacci numbers are recursively dened by F1 = 1; F2 = 1and for n > 1; F_(n+1) = F_n + F_(n-1): So the rst few FibonacciNumbers are: 1; 1;...
- Q Show that  \"f(x) = x^3\" is continuous on all ofâ„
- Q 6.1.5. Problem. Let J be the open unit interval (0, 1). Foreach a let Ua = ?a, a + 1 ?, and letU = {Ua : 0 ≤ a ≤...
- Q Let T denotes the counterclockwise rotation through 60∘,followed by reflection in the line y=x.(i) Show that T is a linear transformation.(ii) Write it as a composition of two lineartransformations.(iii) Find...
- Q If we recreated the scene from Fast & Furious 7 and droppeda Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at5,280 ft, how much horsepower would it take to...
- Q let a be a non zero constant and consider: y''+(1/t)y'=aa. show that 1 and ln(t) are linear independent solutions of thecorresponding homogenous equationb. using variation of parameters find the particular...
- Q D22: When given any data set:A.) How do we determine the type of model to use? (Linear,quadratic, exponential, logarithmic)?B.) When fitting an exponential model to data, what is importantto know...
- Q A 10- kg mass is attached to a spring, stretching it 0.7 m fromits natural length. The mass is started in motion from theequilibrium position with an initial velocity of...
- Q 3. Let S3 act on the set A={(i,j) : 1≤i,j≤3} by σ((i, j)) =(σ(i), σ(j)).(a) Describe the orbits of this action.(b) Show this is a faithful action, i.e. that the...
- Q (a) Prove that Sn is generated by the elements in the set {(ii+1) : 1≤i≤n}.[Hint: Consider conjugates, for example (2 3) (1 2) (23)−1.](b) ProvethatSn isgeneratedbythetwoelements(12)and(123...n) forn ≥ 3.(c) Prove...
- Q 2. Use the Laplace transform to solve the initial valueproblem.?\"+4?=?(?), ?(0)=1, ?′(0)=−1  = { 1, ? < 1where ?(?) =   {0, ? > 1.
- Q Question:include the MATLAB output and commands used with eachproblemGenerate two random 10 × 10 matrices with numbers between -10and 10. This can be done with>> A = randi([-10,10],10,10)>> B =...
- Q The goal is to show that a nonempty subset C⊆R isclosed iff there is a continuous function g:R→R such thatC=g−1(0).1) Show the IF part. (Hint: explain why the inverse image...
- Q Please prove that: A nonempty compact set S of real numbers hasa largest element (called the maximum) and a smallest element(called the minimum).By the way, I think a minimum is...
- Q The Ostrowski method for finding a single root of ?(?)=0 isgiven byInitial guess ?0 ??=??−?(??)?′(??), ??+1=??−?(??)?′(??)?(??)?(??)−2?(??).a) Write MATLAB or OCTAVE coding to implement the Ostrowskimethod.(Hint: You may use the coding...
- Q Theorem 2.1. Cauchy’s Theorem: Abelian Case: Let G be a finiteabelian group and p be a prime such that p divides the order of Gthen G has an element of...
- Q QualSupport Corporation manufactures seats for automobiles, vans,trucks, and various recreational vehicles. The company has a numberof plants around the world, including the Denver Cover Plant, whichmakes seat covers.Ted Vosilo is...
- Q Solve by using eigen value of matrices. Provide a solutionfamily of real functions.x'=4x-10yy'=5x-6y
- Q please prove this problem step by step. thanksProve that in every simple graph there is a path from every vertexof odd degree to some other vertex of odddegree.
- Q Find a primitive root for: (a) n = 18, (b) n = 50 (c) n = 27,(d) n = 625.
- Q For the Fibonacci sequence, f0 = f1 = 1and fn+1 = fn + fn−1 for all n> 1. Prove using induction: fn+1fn−1 −f2n = (−1)n.
- Q MAT 204 Discrete Structures – Assignment #10Number theory is the branch of mathematics concerned with theintegers. Traditionally, number theory was a pure branch ofmathematics – known for its abstract nature...
- Q . Three Dice of a KindConsider the following game: You roll six 6-sided diced1,…,d6 and you win if some number appears 3 ormore times. For example, if you roll:(3,3,5,4,6,6)then you...
- Q (10pts) Consider the damped forced harmonic oscillator withmass 1 kg, damping coefficient 2, spring constant 3, and externalforce in the form of an instantaneous hammer strike (Section 6.4)at time t...
- Q Determine if the following subsets are subspaces:1. The set of grade 7 polynomials2. The set of polynomials of degree 5 such that P (0) = 03. The set of continuous...
- Q Solve the initial value problem:Y''-4y'+4y=f(t) y(0)=-2, y'(0)=1where f(t) { t if 0<=t<3 , t+2 if t>=3 }
- Q Hello I am trying to come up with some answer for a Data miningproject.And need some better detailed answers for the following.1. What is the issue with the usual linear...
- Q 2. Consider the plane curve r(t) = <2cos(t),3sin(t)>.Parameterize the osculating circle at t=0. Sketch both the curveand the osculating circle
- Q using theorem 11.10 (First Isomorphism Theorem), Show that theset of positive real numbers with multiplication is isomorphic tothe set of real numbers with addition.Theorem 11.10 First Isomorphism Theorem. If ψ...
- Q Let E/F be a field extension. Let a,b be elementselements of E and algebraic over F. Let m=[Q(a):Q] and n=[Q(b):Q].Assume that gcd(m,n)=1. Determine the basis of Q(a,b) over Q.
- Q Please give a response to below paragraph the one markedresponse not the question.The Question:Discuss the properties of some of the commonly usedfunctions on the set of Integers and on the...
- Q a. Show that for all values of ? there is an infinite sequenceof positive eigenvalues of the problem? ′′(?) + ??(?) = 0? ?(0) + ? ′ (0) = 0,...
- Q Prove that there are domains R containing a pair of elementshavig no gcd.(Hint: let R be a subring of F[x], for a field F,where R consistes of all polynomials with...
- Q Prove that the union of a finite collection of compact subsetsis compact
- Q Please provide an example of a Monte Carlo simulation model (andexplain).Your simulation example should be able to:Tackle a wide variety of problems using simulationUnderstand the seven steps of conducting a...
- Q 1.Describe all of the homomorphisms from Z20 to Z40.2.Describe all of the homomorphisms from Z to Z12.
- Q Let f(x) = x + 2/xa) Use quadratic Lagrange interpolation based on the nodesx0=1, x1=2, and x2=2.5 toapproximate f(1.5) and f(1.2)b) Use cubic Lagrange interpolation based on the nodesx0=0.5, x1=1,...
- Q explain the case Letendre v Deines Micro- Film Services Ltd , 2001ABQB 26 according to employment law on the basis oftermination
- Q Â Add in the indicated base56 base 8 + 75 base 8 =Subtract in the indicated base230 base 5 + 32 base 5Multiply in the indicated base:42 base 5 x 43...
- Q QUESTION 1In order to determine the average price of hotel rooms inAtlanta, a sample of 38 hotels were selected. It was determinedthat the average price of the rooms in the...
- Q Prove that any linear transformation ? : R? → R? maps a linepassing through the origin to either the zero vector or a linepassing through the origin. Generalize this for...
- Q Use Gauss’s Lemma to find the Legendre symbol values (8/11),(5/19), and (6/31).
- Q Almond Roca isconsidering three nut mixes for inclusion in a new productline, MixeyNuts!:Regular Mix, Deluxe Mix, and Holiday Mix. Each mix is made from 5nuts, in different combinations.Type ofNutShipmentAmount (pounds)Cost...
- Q Make a distinction between simple linear and multiple linearregression. Can you think of examples in your business world wherethese techniques are or should be applied? Share the details, wherepossible.
- Q Solve the following differential equations using method ofundetermined coefficients:a) y''-5y'+6y=2t-3e^(-4t)b)y''+4y=5cos(2x)c)y''''-y''=3x+yxe^(-x)d)y''-3y'-4y=3+e^(4t)
- Q A binary variable can be introduced to a mixed integer programto allow for a “threshold constraint.†A threshold constraint saysthat if any units are used, at least a specified minimum...
- Q 1. Neema bought appliances costing ​$3775 at a store charging6​% ​add-on interest. She made a $1000 down payment and agreed tomonthly payments over four years. What percent of the originalprice...
- Q Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t,0} piecewise function 0≤t<2 , t≥2 ;y(0)=1 ,y′(0)=0
- Q Q1. In a second-semester English class, 35% of the students aresophomores and the rest freshmen; 30% of the sophomores arerepeating the course and 20% of the freshmen gained admission tothe...
- Q sketch the fourier series of f(x) on the interval -L <= x<= L forA) f(x) = (x when x < L/2 and 0 when > L/2)B) f(x) = e^-x
- Q Let S = {a, b, c}. Draw a graph whose vertex set is P(S) and forwhich the subsets A and B of S are adjacent if and only if A...
- Q Part I: Numerical IntegrationEvaluate the following integrals:i. ∫4(1−?−4?3 +2?5)??0ii. ∫3(?2??)?? 0a) Analyticallyb) Multiple application of Trapezoidal rule n = 4. c)Simpson’s 1/3 rule for n = 4.d) Simpson’s 1/3 and...
- Q Solve the recurrence equations by Substitutiona) T(n) = 4T (n/2) + n, T (1) = 1b) T(n) = 4T (n/2) + n2 , T (1) = 1c) T(n) = 4T...
- Q 3. What are the necessary and sufficient conditions for abipartite graph to have a perfect matching? Justify youranswer.4. Illustrate Lemma 3.1.21 using the Peterson graph.
- Q Find the solution of y′′+15y′+54y=144e−3twith y(0)=3 and y′(0)=2.
- Q Make a code in matlab to know the determinant of a matrix n x n,using the sarrus rule.
- Q Let A and B be sets of real numbers such that A ⊂ B. Find arelation among inf A, inf B, sup A, and sup B.Let A and B be...
- Q Show that if there are 100 people of different heights standingin a line, then it is possible to find at least 10 people in theorder they stand in the line...
- Q True or FalseEvery proper subspace of R2 can be visualized asbeing either {(0,0)} or a line through the origin inR2.
- Q How many equations would you need to compute a series of cubicsplines of the form ax^3 + bx^2 + cx + d to fit through 4 datapoints and why?
- Q Prove that if a sequence is bounded, then limsup sn is a realnumber.
- Q in 2013 the estimated world population 7.1 billion usethe doubling of 70 years to predict the population 2027, 20153 and2103?
- Q Alternative-Fueled Vehicles The tableshows the numbers (in thousands) of alternative-fueledvehicles Ain use in the United States from 1995 to 2011. (Source: U.S.Energy Information Administration)YearNumber of vehicles,A19951996199719981999200020012002200320042005200620072008200920102011246.9265.0280.2295.0322.3394.7425.5471.1534.0565.5592.1634.6695.8775.7826.3938.61191.8(a) Use a graphingutility to...
- Q Suppose A^2= A , where A is an n by n matrix. Use Jordancanonical form to thaw that A is diagonalizable.
- Q For the wave equation, utt = c2uxx, with the following boundaryand initial conditions,u(x, 0) = 0ut(x, 0) = 0.1x(π − x)u(0,t) = u(π,t) = 0(a) Solve the problem using the...
- Q Let A be a m × n matrix with entries in R. Recall that the rowrank of A means the dimension of the subspace in RNspanned by the rows of...
- Q Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 65% chance of...
- Q acomplex number z is said to be algebraic if its root of apolynomial that has inteher coefficients. Let A be the collectionof algebraic numbers. Show that A is countable.
- Q You and a friend are using the C(7,4) Hamming code to sendsome 4-bit messages to each other.(a) You encode the message 1010 and send the encoded 7-bitsequence to your friend,...
- Q in the group R* find elements a and b such that |a|=inf, |b|=infand |ab|=2
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