Advance Math question and answers for August 07, 2023
- Q 4. Use the Euler Characteristic Theorem to prove that if G isdrawn in the plane with n connected components, then IVI - |E| +|F|= n +1
- Q Apply the Gram-Schmidt orthonormalization process totransform the given basis for Rn into anorthonormal basis. Use the vectors in the order in which they aregiven. On part D) Use the inner...
- Q The spread of a highly contagious virus in a high school can bedescribed by the logistic functiong(x)=43/1+6.40e^?0.36xwhere x is the number of days after the virus is identified inthe school...
- Q solve using undetermined coefficients. y''' + 2y'' -y'-2y= 24e^-3t+ 48t^2; y(0)=y'(0)=y''(0)=0
- Q Plot ?(x), Li(x),x/ln(x) in Mathematica for each of thefollowing ranges: 2?x?10,000; 10,000?x?20,000;and,100,000?x?110,000.
- Q Using induction: Show that player 1 can always win a Nim game inwhich the number of heaps with an odd number of coins is odd.
- Q For any Gaussian Integer z ? ?[i] with z = a+bi , define N(z)=a2 + b2. Using the division algorithm forthe Gaussian Integers, we have show that there is at...
- Q Find the break-even point for the revenue and cost. Draw yourown graph on a piece of paper.Fixed cost = $22,000Variables cost = $15 per itemPrice = $23The break-even point is...
- Q Find the series solution to the following differentialequation:y" + xy' - y = x^2 - 2x , about x = 1
- Q Let x, y ? R. Prove the following:(a) 0 < 1(b) For all n ? N, if 0 < x < y, then x^n < y^n.(c) |x · y| =...
- Q Agency – Practice Hypothetical’sBasic Facts: Professor Green hires Helen Brown to sell his usedlaw books for him because they are cluttering up his office. Hesays to her “you have authority...
- Q Find the first 6 nonzero terms of the Taylor series solutiontoy''=x+y^(3)-(y')^2 y(0)=2 y'(0)=-2
- Q Mary has a limited food budget, but still wants to make sure herfamily members meet their daily nutritional requirements. Mary canbuy two foods. Food 1 sells for $7 per pound,...
- Q Chapter 2 material:Which accounts on Target’s balance sheet are accrual-typeaccounts?Which accounts on Target’s balance sheet are deferral-typeaccounts?Compare Target’s 2015 net earnings (the year endedJanuary 30, 2016) to its 2015 cash...
- Q Find the eigenvalues of the problem:y'' + ?y = 0, 0 < x < 2?, y(0) = y(2?), y' (0) =y'(2?)and one eigenfunction for each eigenvalue.
- Q Let f : Rn ? R be a differentiable function. Suppose that apoint x? is a local minimum of f along every line passes throughx?; that is, the functiong(?) =...
- Q u''-2u'-8u=0 u(0)= ?? u'(0)=2?y''+9y'=cos?t, y(0)=0, y'(0)=1
- Q Part II: Choose the bestanswerWhich of the following is a fundamental product adjacent toxy'zwxyzw'xy'zw'x'y'z'wx'yzwNoneThe quantity of fundamental products when you have 3 Booleanvariables is:46158NoneWhich of the following is not a...
- Q Bezout’s Theorem and the Fundamental Theorem of Arithmetic1. Let a, b, c ? Z. Prove that c = ma + nb for some m, n ? Z ifand only if...
- Q prove that a translation is an isometry"i want the prove by using a parallelogram and proving that the twoside are congruent please"
- Q Multivariate analysisUsing the data provided, perform the following analysis:Determine the explanatory and response variables.Run a multivariate regression analysis on all threevariables.Interpret the results by answering the following questions:What is the...
- Q let E be a finite extension of a ?eld F of primecharacteristic p, and let K = F(Ep)be the sub?eld of E obtained from F by adjoining the pth powers...
- Q Find the general solution using REDUCTION OF ORDER. andthe Ansatz of the form y=uy1 = y=ue-x(2x+1)y'' -2y' - (2x+3)y = (2x+1)2 ; y1 =e-xThank you in advance
- Q need asap please - will rate right away!Find the transition matrix from the basis B ={(2,1,0),(1,0,0)(0,1,1)} to the basis B'={1,1,2),(1,1,1),(0,1,2)}
- Q Consider the IVPs: (A) y'+2y = 1, 0<t<1 , y(0)=2. (B) y' = y(1-y), 0<t<1 , y(0)=1/2.1. For each one,...
- Q Maximize p = 13x + 8y subject tox+y?25x?10?x+2y?0x ? 0, y ? 0.P = ? (X,Y)= ( ?,? )
- Q 1. Find the quotient and remainder when 74 is divided by 13.2. Use the Euclidean Algorithm to find the GCD of 201 and111.3. Express your answer to #2 as a...
- Q A firm faces the demand schedule as ? = 660 ? 3?and the total cost schedule as?? = 6?^3 ? 72?^2 + 240? + 25. Please answer the followings:a. Does...
- Q Given 2y' + 1.5y = 5x, y(0) = 3.3,What is the value of y(3) using Ralston's method and a step sizeof h=1.5Keep 4 decimal places
- Q A 128-lb weight is attached to a spring having a spring constantof 64 lb/ft. The weight is started in motion with no initialvelocity by displacing it 6 in below the...
- Q what are 5 college mathematics jeopardyquestionswhat are 5 college anatomy jeopardy questions
- Q 1. Use the Laplace transform to solve the initial valueproblem.?"+4??+3?=1??(??2)??(??4)+?(??6), ?(0)=0, ??(0)=02. Use the Laplace transform to solve the initial valueproblem.?"+4?=?(?), ?(0)=1, ??(0)=?1 = { 1, ? < 1where ?(?)...
- Q f(x) and g(x) are both functions with Domains and Codomains allpositive Reals.f(x) = 2x2 and g(x) = 4x - 1. If f(g(x) =8, what is x?a2b1/2c3/4dNone of the above____________________________If f(x)...
- Q y"+xy=0 center x=0find two linearly independent solutions centered at x=0
- Q Solve the system of linear equations using partial pivoting.144a1 + 12a2 + a3 = 279.264a1 + 8a2 + a3 = 177.225a1 + 5a2 + a3 = 106.8
- Q Give an example of a cubic polynomial with zero discriminant(other than x^3=0). Moreover, show that the discriminant is zerowhen two roots coincide.
- Q The crossing number of a simple graph is the minimum number ofcrossings that can occur when this graph is drawn in the plane,where no three curves representing edges are permitted...
- Q We consider the operation of the symmetric group S4 onthe set R[x,y,z,a] through permutation of an unknown integer.a) Calculate the length of the orbit of polynomial x2+y2+z+a. Howmany permutations leave...
- Q Let Z2 [x] be the ring of all polynomials with coefficients in Z2. List the elements of the field Z2 [x]/?x2+x+1?, and make an addition and multiplication table for the...
- Q Usemathematical induction to prove that for every integer n >=2, ifa set S has n elements, then the number of subsets of S with aneven number of elements equals the...
- Q Find the amount of the payment to me made into a sinking fund sothat enough will be present to accumulate the following amount.Payments are made at the end of $95,000;...
- Q Suppose you are on a game show and are shown three doors. Behindtwo are goats, and behind the third is a shiny new car. You areasked to pick a door,...
- Q can someone explain the stokes theorem using an example otherthan flux or work?
- Q Let a1 ? a2, . . . , an be a sequence of positive integers whosesum is 2n ? 2. Prove that there exists a tree T on n vertices...
- Q A is allowed to select any date of the year other than December31. B may then select any date later in the same month or the sameday of any later...
- Q Prove that 3^n + 7^(n?1) ? 4 (mod 12) for all n ? N+.
- Q Find the general solution of the linear systemx ?1 = x1, x ?2 = ax2Where a is a constant. Draw the phase planes for a = ?1, 0, 1. Comment...
- Q 2. Drinking Warm BeerWe put 10 bottles of Molson Export and 3 bottles of Labatt 50into the trunk of our black car on a hot summer day. We reach intothe...
- Q Let F be a finite field. Prove that the multiplicative groupF*,x) is cyclic.
- Q consider the autonomous diffeerential equation y'=(y-4)(y+2)1) what are the constant solutions of this differentialequation?2) Let g(y)=(y-4)(y+2) sketch this curve with y on thehorizontal axis3) for which of the following inital...
- Q Consider the undamped forced harmonic oscillator with mass 1kg, damping coefficient 0, spring constant 4, and external forceh(t) = 3cos(t). The mass is initially atrest in the equilibrium position. You...
- Q Expand in Fourier series:Expand in fourier sine and fourier cosine series of: f(x) =x(L-x), 0<x<LExpand in fourier cosine series: f(x) = sinx, 0<x<piExpand in fourier series f(x) = 2pi*x-x^2, 0<x<2pi,assuming...
- Q write the theory and formulas for solving the systems ofequations using the Laplace transform. Must containbibliography
- Q Logic. Identify the form of the following statements:~ (?x)((Gx ? Hx) ? (Jx ?(Hx ? Kx)))(x)((Gx ? Hx) ? (Jx ?Kx))(x)(~ Gx ? Hx) ?(x)(Jx)
- Q 2)A university finished the season ranked sixth out of 119 teamsin football and ninth out of 297 teams in baseball. Based onpercentile rank, which team had the better ranking?A)the baseball...
- Q Find all primes p for which ?5 is a quadratic residue.
- Q The payoff matrix for a game is 4 ?1 5 ?6 2 1 1 ?4 2 . (a) Findthe expected payoff to the row player if the row player R...
- Q Solve this differential equation usingMatlabyy' + xy2 =x , with y(0)=5 for x=0 to 2.5 with a stepsize 0.25(a) Analytical(b) Euler(c) Heund) 4th order R-K methodDisplay all results on the...
- Q 1. Write down the addition and multiplication table for Z/5Z.All classes should be written in terms of their canonicalrepresentative (unique representative between 0 and 4).2. Suppose a ? a' mod...
- Q Prove that none of the following is the orderof a simple group: 28 , 12.Thank you!
- Q 2. [6 marks] (Induction) Prove that 21 divides 4n+1 + 5 2n?1whenever n is a positive integer. HINT: 25 ? 4(mod 21)
- Q ?? (?) = ?100?(?), ?(0) = y01) Find the condition for the step size dt such that theexplicit Euler scheme converges to the exact solution to the givendifferential equation.2) Find...
- Q Verify Stokes theorem for F =(y^2 + x^2 - x^2)i + (z^2 + x^2 -y^2)j + (x^2 + y^2 - z^2)k over the portion of the surface x^2 +y^2 -2ax...
- Q Find the lagrange polynomials that approximate f(x) =x3a ) Find the linear interpolation polynomial P1(x)using the nodes x0= -1 and x1 = 0b) Find the quadratic interpolation polynomialP2(x) using the...
- Q Calculate integlar c F(r)dr when F =[xlny, ye^x] using Green'stheorem. R is a rectangle whose vertices are (0,1), (3,1), (3,2),(0,2).
- Q For some colleges, there are more applicants than there areopenings. This requires colleges to implement a method forselecting students that utilizes criteria believed to predict howwell a given student will...
- Q Let S1 and S2 be any two equivalence relations on some set A,where A ? ?. Recall that S1 and S2 are each a subset of A×A.Prove or disprove (all...
- Q Management is planning to promote a new service in two mediabuys: flyers and online advertisements. A media budget of $1,500 isavailable for this promotional campaign. Based on past experiencein promoting...
- Q Use the Laplace transform to solvey'' + 4y' + 5y = 1, y(0)= 1, y'(0) = 2
- Q We are told that economy is growing and that such growth benefits all of us. However, what you see is not what you always get. Most people are experiencing declining...
- Q how to prove the Existence of factorization in Euclideandomains
- Q A photoconductor film is manufactured at a nominal thickness of25 mils. The product engineer wishes to increase the mean speed ofthe film, and believes that this can be achieved by...
- Q A small business owner contributes $2,000 at the end of eachquarter to a retirement account that earns 10% compoundedquarterly. (a) How long will it be until the account is worth...
- Q Complete the proof for the claim that any open ballB(x0,r) in Euclidean space Rn is homeomorphicto Rn.proof is given below the theorem. Show that suggested map g isin fact homeomorphism.Theorem:...
- Q Find Taylor series expansion of log(1+z) and show radius ofconvergence
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