Advance Math question and answers for August 26, 2023
- Q 4. A local company restores cars and trucks for resale. Eachvehicle must be processed in the refinishing/paint shop and themachine/body shop. Each car (on average) contributes $3000 toprofit, and each...
- Q Let A be incidence matrix of graph G. prove if G has a cycle,then null space of transpose of A is not {0} (there existsnon-trivial solution of (A^T)y=0)
- Q 2 OptimizationUse fminsearch to solve the following unconstrained optimizationproblem. min x?R4 f(x) = (x1 + 10x2)^2 + 5(x3 ? x4)^2 + (x2 ?2x3)^4 + 10(x1 ? x4)^4Use the following as...
- Q Numerical Analysis: Apply Newton’s method to find the roots ofpolynomial P(x) = x^3 + 3x^2 ? 2x + 1. Find the convergencerate.
- Q Find pictures of the five Platonic solids. Imagine you are anant that likes to walk along the edges of solids. For which ofthese solids is it possible to walk along...
- Q solve the given system ofdifferential equation byelimination.x’-2x-y=1x+y’-4y=0
- Q A container with mass m kg is dropped by a helicopter fromheight h km at time t=0, with zero velocity. from the outset, itsfall is controlled by gravity and the...
- Q The following table represents a project with four activities.All times are in weeks.ActivityImmediatePredecessorOptimistic TimeMost Likely TimePessimistic TimeA-4816B-789CA61018DB51318A. According to the data in the table. What is the criticalpath?B. According to...
- Q Let a and b be positive integers, and let d be their greatestcommon divisor. Prove that there are infinitely many integers x andy such that ax+by = d. Next, given...
- Q We’ll say a polynomial f(x) ? R[x] is prime if the ideal (f(x))? R[x] is prime. If F is a field with finitely many elements (e.g.,Z/pZ), prove that f(x) ?F...
- Q Cost of Common EquityThe future earnings, dividends, and common stock price ofCarpetto Technologies Inc. are expected to grow 4% per year.Carpetto's common stock currently sells for $25.50 per share; itslast...
- Q summarize McCulloch v. Maryland (1819). Why was this an imporatantsupreme court case and how did it relate to federalism?
- Q Use a Laplace Transform technique to find the solution to thedifferential equation (ie. initial value problem).y'' + 4y' + 5y = 35e^(-4t)y(0) = -3y'(0) = 1
- Q PROVE THE FOLLOWING RESULT: Using a compass and a straightedge,construct a triangle ABC such that side BC is of length 2, thecircumradius is of length 3/2 and the median AA'...
- Q Problem 4-11 (Algorithmic)Edwards Manufacturing Company purchases two component parts fromthree different suppliers. The suppliers have limited capacity, andno one supplier can meet all the company’s needs. In addition, thesuppliers charge...
- Q Consider a 20-year mortgage for $282845 at an annual interestrate of 4.1%. After 6 years, the mortgage is refinanced to anannual interest rate of 2.5%. What are the monthly payments...
- Q Solve the following problems.a) What is the order of the differential equation ? ? = ? 2 ? 3?? 10? Is it linear ?b) Determine whether the differential equation ?...
- Q Simplex Method Consider the following linear programmingproblem:maxz = 6x1 + 3x2 - 9x2 - 9x3 + 15x4s.t. 2x1 + 4x2 +6x3 + 8x4 <= 80 6x1- 3x2 +3x3 + 6x4...
- Q Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2,f(1, 0) = 3, f(1, 1) = 5, f(2, 0) = 5, f(2, 1) =...
- Q Find the volume of the region that lies between theunit sphere and the sphere of radius 1 centered at (0,0,1) (ans is(5pi)/12 but I cant quite get it)
- Q 1.The monthly revenue of a mobile mechanic business is given byR = 1,200p - 9p2?, where p is the hourlycharge (in dollars) for the services the business provides. At whatcharge...
- Q Use the simplex method to answer the following problem. Includeall tableaus.Delvecchio's pizza shop makes three specialty pizzas, the MightyMeaty, the Very Veggie, and Super Cheesy. The Mighty Meaty istopped with...
- Q Part 3. Questions 3,4,5. [ Use Video-2 underScheduling heading. ][Note: The order of jobs in a schedule ABCDE is1st,2nd,3rd,4th,5th,respectively.]Five jobs arrived to be processed with the processing times anddue dates.Present...
- Q Determine all values of a for which the following set of vectorsis dependent or independent. You can select 'always', 'never', 'a =', or 'a ?', then specify a value or...
- Q Determine whether the relations described by the conditionsbelow are reflexive, symmetric, antisymmetric or transitive on aset A = {1, 2, 3, 4}All ordered pairs of (x, y) such thatx not...
- Q Verify the green theorem for:P (x, y) = 2xyQ (x, y) = x + yC is the curve formed by the line segments from (0,0) to (3,0),from (3,0) to (2,1)...
- Q Which of the following are trees and which are forests?
- Q 1. Zero Turbulence Airline provides air transportation servicesbetween Los Angeles, California; and Kona, Hawaii. A single LosAngeles to Kona round-trip flight has the following operatingstatistics: Fuel $14,062 Flight crew salaries...
- Q A bacterial population is found to increase 50% every 24 hours.We want to answer the question: whyhow much does the population multiply in a week? Establish andsolve an initial value...
- Q Discuss the roles that Green, Thomson, and Stokes played indiscovering these theorems and making them widely known.
- Q what is the code to solve and graph the following function inmatlabdv/dt=80.5(1-e^(.4t))
- Q USING MATLAB....a.) Create anonymous functions:fa(x)=sin(x^2)fb(x)=sin^2(x)b.) Evaluate them both at x=1/2 pic.)Evaluate them both at x=(0,1,2,...,10)^Td.) Calculate fa(fb(2)) and fb(fa(2))
- Q Prove that equation have a unique solution through the point(0,1). With the knowledge acquired can you exhibit explicitly thatunique solution for a and b?(a) y' = y - y^2(b) y'...
- Q Joni is considering job offers from two companies. Company Aoffered her a starting salary of $63,160 with a 3.4% raise at theend of each year. Company B offered her a...
- Q 1. Amazon Appliance Company has three installers. Larry earns$355 per week, Curly earns $460 per week, and Moe earns $585 perweek. The company's SUTA rate is 5.4%, and the FUTA...
- Q Solve Homogeneous differential equation. Please show work(4x - 2y)dx + (2x - 9y)dy = 0
- Q You find yourself in a maze walking and you reach a 3-wayintersection. The roads have signs as follows: -on the left: “badidea street” -in front of you: “don’t even try...
- Q 1. Southwest Clothing Company, produces denim jeans, is planningto introduce a new line of lime green jeans. Each pair of jeanscosts $5.50 for fabric and $3.00 for labor. Each pair...
- Q Let S be the set of all integers x > 6543 such that thedecimal representation of x has distinct digits, none of which isequal to 7, 8, or 9. (The...
- Q Let p be an odd prime (i.e., any prime other than 2). Form twovector spaces V1, V2 over Fp(prime field of order p) with bases corresponding to the edges andfaces...
- Q How much would you need to invest each year in an accountearning 8.5% in order to have $1,000,000 thirty-five years fromnow? Show your work.
- Q 7.What was Galois’ contribution to the theory of algebraicequations and what were some of the reasons why it was soremarkable?
- Q Minimum 320 words and unique content please. In your opinion,what is the most important aspect of starting a business? Whatpassion or interests led you to the decision to create yourbusiness?Thank...
- Q Discuss the followingterms giving their definitions and clarifying the definitions bygiving suitable examples.1-subset2-proper subset3-improper subset4-emtpy set5-power setcan you please writethe question using the keypoard to be able to copy and...
- Q 1) Let A be nxn matrix and Ax=b, if we need change A to Uppertriangular matrix using Gaussian Elimination, how manyadditions/subtraction operations are involved? how manymultiplication/division operations are involved?2) Once...
- Q Show that, for each natural number n, (x ? 1)(x ? 2)(x ? 3). ..(x ? n) ? 1 is irreducible over Q, the rationals.
- Q Use models to show that each of the following statements isindependent of the axioms of incidence geometry:(a) Given any line, there are at least two distinct points thatdo not lie...
- Q Describe in detail a Queueing Theory. Include in your discussiongeneral examples of particular industries that might employQueueing Theory and why? Finally, present a specific exampleshowing in detail where Queueing Theory...
- Q USE MATLABWrite a program in Matlab that would continuously ask the userfor an input between 1 and 6, which would represent the result ofrolling a die. The program would then...
- Q "Primal"MAXIMIZE Z = 12X1 + 18X2 +10X3S.T. 2X1 + 3X2 + 4X3 <= 50...
- Q Factor Values Find the numerical value of the following factorsusing (a) linear interpolation (b) the appropriate formula1. (F/P,18%,33)2. (A/G,12%,54)
- Q Henry borrows $1025 at 10.5% simple interest. He makes a partialpayment of $195 at the end of 9 month(s), and a partial payment of$390 at the end of 13 months....
- Q Please round to the nearest cent for allanswers.---------------------------------------------------------------------------------Compare the monthly payment and total payment for the followingpairs of loan options. Assume that both loans are fixed rate andhave the same...
- Q Theparametric straight line paths of two objects are given.a) do the objects crash (at the same location at the sametime)? If so, at what time?b) do the paths of the...
- Q Write a function called alternate that takes two positiveintegers, n and m, as input arguments (the function does not haveto check the format of the input) and returns one matrix...
- Q Using Euclidean algorithm, Find integers x and y with 65537x +3511y = 17.
- Q Prove the Makeham’s second lawµx = A + Hx + BCxQuestion 2Prove the Double geometric lawµx = A + BCx + MnxQuestion 3Prove the Perk’s lawµx =A + BCxKCCx +...
- Q Prove that if A is an enumerable set all of whose members arealso enumerable sets, then UA is also enumerable.
- Q Find expansion ofA) tan (x) about point x=0B) cos (x) about point x=0C) (1+x)^1/2 about point x=0
- Q Question 1A biconditional statement whose main components are consistentstatements is itself a:coherencycontingencyself-contradictionunable to determine from the information giventautology3 pointsQuestion 2A biconditional statement whose main components are equivalentstatements is itself a:self-contradictioncoherencyunable...
- Q 1. Prove that given n + 1 natural numbers, there are always twoof them such that their difference is a multiple of n.2. Prove that there is a natural number...
- Q Let F be an ordered field. We say that F has the CauchyCompleteness Property if every Cauchy sequence in F converges in F.Prove that the Cauchy Completeness Property and the...
- Q Why do youthink it is usually preferable to start with the side containingthe more complicated expression when establishing a trigonometricidentity?Find thevalues of a and b for which cos2? =(2ab)/(a2 +...
- Q Explain graphically how to determine the shadow price of abinding constraint in an LP with two variables. Show also theformulation of your LP.In the context of network models, briefly explain...
- Q Sec 7.31. A chain saw requires 8 hours of assembly and a wood chiiper 3hours. A max of 48 hours of assembly time is available. The profitis $190 on a...
- Q The ”Brusselator” is a mathematical model for a class ofoscillating chemical reactionsx'= 1?(b+ 1)x+a(x^2)yy?= bx?a(x^2)ywhere x,y ? 0 are the concentrations of the chemical and a and bare positive constants(a)...
- Q Prove that the function defined to be 1 on the Cantorset and 0 on the complement of the Cantor set is discontinuous ateach point of the Cantor set and continuous...
- Q Prove the Heine-Borel Theorem
- Q 5.How can you proof a proposition in the form of ?x P(x)is NOT true.6.a) Briefly explain what does it mean to say Bis a subset of A? What is the...
- Q find the dirichlet green function of laplace equationfor the interior of a colander with radius a
- Q Please find a solution to the following:?u=0, 1<r<4, 0??<2?u(1,?)=cos5*?, 0<?<2?u(4,?)=sin4*?, 0<?<2?
- Q Given the following functions, can you have the corresponding a)Fourier series, b) Fourier transform and c) Laplace transform? Ifyes, find them, if not, explain why you can not.A, x(t) =...
- Q Let G be a group. For each x ? G and a,b ? Z+a) prove that xa+b = xaxbb) prove that (xa)-1 = x-ac) establish part a) for arbitrary integers...
- Q 1313) Given the DEQ y'=1x-y^2*7/10. y(0)=8/2. Determine y(2) byEuler integration with a step size (delta_x) of 0.2. ans:1
- Q Explain why pointwise convergence do not preservedifferentiation and integrability. (Unlike uniform convergence)
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