Advance Math question and answers for August 24, 2023
- Q Solve the systemy'=xx'=-x+ry-y^3r is a real number. Solve for eigenvalues & stability ofsystem. Show bifurcation value.
- Q in the problem given (3 - x)y" + x2y' + (1 + x)y = 0, x0=0. find the recurrence relation and the seriessolution given y(0) = -6 and y'(0)= 2
- Q The question is correct.Let X be an n-element set of positive integers each of whoseelements is at most (2n - 2)/n. Use the pigeonholeprinciple to show that X has 2...
- Q Suppose that a graph G is such that each vertex of G has degreeat least 100. Show that G contains a cycle of length at least 101,i.e., a cycle passing...
- Q process of building the unit circle centered on the origin •special angles • rectangles • rectangles and Cartesian
- Q The Knight’s Tour Puzzle asks if it is possible to ?nd asequence of 64 knight’s moves so that a knight on a chessboardvisits all the di?erent squares and ends up...
- Q Ahrithmetic calculation about scientific notation.Mixed unit and multiplication, addition, subtraction, divisiontoo.this is my question above, please help me I needit to study.
- Q Please illustrate the difference between circumscription anddefault logic
- Q prove or disprove .if n is a non negative integer, then 5divides 2 ? 4^n + 3?9^n.
- Q Using the digits 0 through 8, find the number of different5-digit numbers such that:a. Digits can be used more than once.b. Digits cannot be repeated, but can come in any...
- Q If an SPL ( LINEAR EQUATION SYSTEM ) is known: Ax = b. A is amatrix sized m × n and b is a vector sized m × 1, with...
- Q S = Z (integers), R = {(a,b) : a = b mod 5}. Is this relation anequivalence relation on S?S = Z (integers), R = {(a,b) : a = b...
- Q Find the distance between the skew lines with parametricequations x = 1 + t, y = 3 +6t, z = 2t, and x = 1 + 2s, y = 6 +...
- Q The Chinese Remainder Theorem for Rings.Let R be a ring and I and J be ideals in R such that I + J = R.(a) Show that for any r...
- Q Write a short essay approximately 2 pages (for a first yearengineering class).Introduce the concept of eigenvalues andeigenvectors including a short history of their development.Outline in detail some of the real...
- Q Solve the following LP using revised simplex algorithm in tableformat.Min 6x1+10x2 -18x3 +25x4 +15x5subject to 0.2x1+ 0.2x2+0.4x3+ 0.5x4 + x5 ? 10002.5x1+ 1.5x2+ x3 + 0.5x4 + 0.5x5 ? 11000.8x3...
- Q Use your graphing calculator to find the solutions to thefollowing equation for0° ? ? < 360°by defining the left side and right side of the equation asfunctions and then finding...
- Q Consider the following relations:R1 = {(a, b) ?R2 ? a > b}, thegreater than relationR2 = {(a, b) ?R2 ? a ? b}, thegreater than or equal to relationR3 =...
- Q Derive Open Newton's Cotes Formula for n=6 ?
- Q Derive Closed Newton-Cotes Formulas for n=5 and n=4 ?
- Q Let A = 0 2 01 0 20 1 0 .(a) Find the eigenvalues of A and bases of the correspondingeigenspaces.(b) Which of the eigenspaces is a line through the...
- Q Calculate the half of the ratio of perimeter of regularapeirogon to the distance of the centre of gravity to the edges ofthis regular apeirogon, find the 1288. 1289. 1290. and...
- Q Question 2 (25 marks/Bond Valuation)David Palmer identified the following bonds forinvestment:1) Bond A: A $1 million par, 10% annual coupon bond, whichwill mature on July 1, 2025.2) Bond B: A...
- Q Compute the projection of y = (1, 2, 2, 2, 1) ontospan (x1, x2) wherex1 =(1, 1, 1, 1, 1) x2 =(4, 1, 0, 1, 4)The inner product to use is...
- Q Let A be a diagonalizable n × n matrix and let P be aninvertible n × n matrix such that B = P?1AP is the diagonal form ofA. Prove that...
- Q How many poker hands (of 5 total cards) are dealt such thatthe first three cards havethe same rank, but the total hand does not contain anotherpair and is not a...
- Q Calculate the SVD of matrix A =33-11by hand and find the rank 1 approximation of A
- Q Show that the normalizer of a 5-Sylow subgroup of A_5 has order10, and is a maximal subgroup of A_5.
- Q vTo illustrate how to conduct rate-of-change calculations, wewill use the following example. Note that this is just an example;the data in the table below do not match the data collected...
- Q Consider the missile allocation problem (MAP) with discretizedtime. (a) For MAP, an extreme case may be to maximize theprobability of shooting down only those ASMs targeting the highvalue ships, ignoring...
- Q Produce a 2/3 page explanation onApplications of PDEs in Engineering,Science and Economics.In your explanation you should give three detailed examples. Oneex-ample should involve a PDE from an area of Engineering,...
- Q This is a question about Ordinary DifferentialEquations.For solving linear differential equations, I have seenpeople use the method of integrating factors and the method ofvariation of parameters.Is it true that either...
- Q Let S be the set of all ordered pairs of real numbers. De?nescalar multiplication and addition on S by:?(x1,x2)=(?x1,?x2)(x1,x2)?(y1,y2)=(x1 +y1,0)We use the symbol?to denote the addition operation for thissystem in...
- Q explain what is math in detailsabout a 1000 word
- Q general solution :5?2???+23???+16,2=0Euler-Cauchy :?2???+3???+?=0 , ?(1)=3,6 , ??(1)=0,4
- Q An environmentalist wants to determine the relationship betweenthe number of fires, in thousands, and the number of acres burned,in hundreds of thousands. Based on this data, decide if thecorrelation is...
- Q Consider the function ?: (?1,1) × (?1,1) ? ? given by ?(?, ?) =sin(?? + ?? + ?2 ).1. Find a bound for the directional derivative of ? in anydirection,...
- Q Suppose K is a nonempty compact subset of a metric space X and x? X.(i) Give an example of an x ? X for which there exists distinctpoints p, r...
- Q 3. For each of the following relations on the set Z of integers,determine if it is reflexive, symmetric, antisymmetric, ortransitive. On the basis of these properties, state whether or notit...
- Q Consider the group homomorphism ? : S3 ×S5? S5 and ?((?, ? )) = ? .(a) Determine the kernel of ?. Prove your answer. Call K thekernel.(b) What are all...
- Q Problem 2. Consider a graph G =(V,E) where |V|=n.2(a) What is the total number of possible paths of lengthk ? 0 in G from a given starting vertexs and ending...
- Q Solve the following wave equation using Fourier Seriesa2uxx = utt, 0 < x < 1, t> 0, u(0,t) = 0 = u(1,t), u(x,0) = x2,ut(x,0) = 0
- Q ii. Let G = (V, E) be a tree. Prove G has |V | ? 1 edges usingstrong induction. Hint: In the inductive step, choose an edge (u,v) and partition...
- Q Venn Diagram - The Silversnake class, the Jellyfish class, and theRadical Dog-Star class (kindergartners and first- andsecond-graders) were talking about their favorite field tripsduring the school year. One of the...
- Q The buyer of a piece of real estate is often given the option ofbuying down the loan. This option gives the buyer a choice of loanterms in which various combinations...
- Q Use the Laplace transform to solve the given system ofdifferential equations.dx/dt + 2x +dy/dt= 1dx/dt? x+ dy/dt? y= e^t x(0) = 0, y(0) = 0
- Q Let A = {a1, a2, a3, . . . , an} be a nonempty set of n distinctnatural numbers. Prove that there exists a nonempty subset of A forwhich the...
- Q This problem is a complex financial problem that requiresseveral skills, perhaps some from previous sections. Clark and Lanatake a 30-year home mortgage of $124,000 at 7.4%, compoundedmonthly. They make their...
- Q A man has ?$380000 invested in three rental properties.Oneproperty earns7.5?% per year on the? investment, the second earns 8?% and thethird earns 9?%.The total annual earnings from the three properties...
- Q Consider the following second-order ODE,y"+1/4y=0with y(0) = 1 and y'(0)=0.Transform this unique equation into a system of two 1st-orderODEs.Solve the obtained system for t in [0,0.6] with h = 0.2...
- Q Use Laplace transforms to solve the initial value problemx??+4x?+3x=t,x(0)=0,x?(0)=3,where primes indicate derivatives with respect to t.
- Q Recall that a sequence an is Cauchy if, given ? > 0, there isan N such that whenever m, n > N, |am ? an| < ?.Prove that every Cauchy...
- Q 2. (a) Show that 341 is a composite number.(b) Show that 341 is a pseudoprime to base 15.(c) Show that 341 is not a strong pseudoprime to base 15.
- Q Find two integer pairs of the form (x,y) with |x|<1000 suchthat 22x+28y=gcd(22,28)(x1,y1)=((x2,y2)=(
- Q Find solutions to the following ODEs:• y¨ ? y? ? 2y = t, y(0) = 0, y?(0) = 1• y¨ ? 2 ?y + y = 4 sin(t), y(0) =...
- Q Find the first two iterations of the SOR method with ?= 1.1 for thelinear system below using x(0) = 0.3x1 ? x2 + x3 = 13x1 + 6x2 + 2x3...
- Q y''+ 3y'+2y=e^ty(0)=1y'(0)=-6Solve using Laplace transforms.Then, solve using undetermined coefficients.Then, solve using variation of parameters.
- Q Blair & Rosen, Inc. (B&R) is a brokerage firm thatspecializes in investment portfolios designed to meet the specificrisk tolerances of its clients. A client who contacted B&R thispast week has...
- Q A small dairy wants to make sure that their butter mill isproducing bricks of butter that do not differ from the labelledweight by too much. The machine produces 30 bricks...
- Q 4.- Show the solution:a.- Let G be a group, H a subgroup of G and a?G. Prove that thecoset aH has the same number of elements as H.b.- Prove that...
- Q A stock sells for $84 and pays a continuously compounded 3%dividend. The continuously compounded risk-free rate is 5%.a. What is the price of a pre-paid forward contract for oneshare to...
- Q solve using variation of parameters. y'' + 4y = 6 sint; y(0)=6,y'(0) = 0
- Q A country uses bronze coins with denominations of 1 peso, 2pesos, 3pesos, and 5 pesos, silver coins of denominations of 2 pesos and5pesos, and uses gold coins with denominations of...
- Q A company manufactures and sells x television sets per month.The monthly cost and? price-demand equations are ?C(x)equals72comma 000 plus 70 x and p left parenthesis x right parenthesisequals 300 minus...
- Q what is the value of ???? ?(t+2)e^(?2t)u(t)dt?
- Q 4. Let A be the 6*6 diagonal matrix below. For each eigenvalue,compute the multiplicity of ? as a root of the characteristicpolynomial and compare it to the dimension of the...
- Q NEW NUMBERSAndre Greipel is the owner of a small company that producesheart rate monitors. The annual demand is for 2,250 heart ratemonitors, and Andre produces these devices in batches. On...
- Q Describe two bounded and two unbounded models for hyperbolicgeometry. Draw pictures for each model to demonstrate points, linesand parallel lines.Explain how these four models are related.
- Q Let ? be a root of x^2 +1 ? Z3[x]. Show that Z3(?) = {a+b? : a,b ? Z3} is isomorphic to Z3[x]/(x^2 + 1).
- Q Let X be a non-empty set and R?X × X be an equivalence relation.Prove that X / R is a partition of X.
- Q Find all of the real and imaginary zeros for the polynomialfunction. f(x)= 69 x^4-2x^3+62x^2-2x-7
- Q Problem 10-03 (Algorithmic)The reorder point r = dm is defined as thelead-time demand for an item. In cases of long lead times, thelead-time demand and thus the reorder point may...
- Q Write a program to compute the root of the function f(x) =x3 + 2 x2 + 10 x - 20 by Newton method (x0 =2 ).Stop computation when the successive...
- Q find the stedy-periodic solution cap of the initialvalue problemx"+2x'+50x=6cos(4t),x(0)=0,x'(0)=0
- Q Let T: R^2 -> R^2 be an orthogonal transformation and let Ais an element of R^(2x2) be the standard matrix of T. In a) and b)below, by rotation we mean...
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