Advance Math question and answers for August 01, 2023
- Q If a population with harvesting rate h is modeled by dx/dt =9-x^2-h. Find the bifurcation point for the equation.
- Q Let G be a graph. For each of the following, determine if thestatement is true or false. If it's true, provide a proof and ifit's false, provide a counterexample.(a) G...
- Q show that if {X (t), t? 0} is a stochastic process with independentprocesses, then the process defined by Y (t) = X (t) - X (0), fort? 0, has independent...
- Q Prove f: Zmod p---> Z mod p is a ring homomorphism and findthe kernel of f.
- Q W? s?w in ?l?ss th?t in bip?rtit? gr?phs th? m?ximum m?t?hing?nd minimum v?rt?x ?ov?r h?v? th? s?m? siz?. (Th? numb?r of ?dg?sin th? m?t?hing ?qu?ls th? numb?r of v?rti??s in...
- Q If X is any topological space, a subset A ? X is compact (in thesubspace topology) if and only if every cover of A by open subsetsof X has a...
- Q foreach of the following statements, fill in the blanks with an easyto check criterion:a. M is a triangular number if and only if _______ is an oddnumber.b. N is an...
- Q Use the following statement in the subsequent parts of thequestion: “If Ann is Jan’s mother, thenJose is Jan’s cousin.”a)Write the converse, inverse, and contrapositive of thestatement.b)Show that the statement and...
- Q how many shareholders can a c corporation have
- Q In June 2001 the retail price of a 25-kilogram bag of cornmealwas $8 in Zambia; by December the price had risen to $11.† Theresult was that one retailer reported a...
- Q e Elixer Drug Company produces a drug from two ingredients. Eachingredient contains the same three antibiotics, in differentproportions. One gram of ingredient 1 contributes 3 units, and 1gram of ingredient...
- 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 Some hints: use the definition: f is a function iff a = bimplies f(a) = f(b) and recall that in informal proofs we show animplication by assuming the if part...
- Q Question:Prove the following:Claim: Consider a triangle ?ABC and a point Don the interior of segment BC. If ?(?ABC) = 180, then ?(?ABD) =?(?ACD) = 180.Hint: Use the Split Triangle Theorem...
- Q Given the following relation, { ( A, A ), ( A, B ), (A, D ), ( B, B ), ( B, C ), ( B, E ), ( C,...
- Q What straight line y=ax+b best fits the following data in theleast-squares sense?x1234y0112i. Formulate the problem in the form Ax=b for appropriate A andb (matrix form).We want to fit in the...
- Q Postal regulations specify that a parcel sent by parcel post mayhave a combined length and girth of no more than 130 in. Find thedimensions of a cylindrical package of greatest...
- Q 4. Let n ? 8 be an even integer and let k be an integer with 2 ?k ? n/2. Consider k-element subsets of the set S = {1, 2,...
- Q State the condition on the derivative f' that can be used to show that a function f is increasing. b Define the function arctan. c Explain how one, starting from the definition...
- Q Let N(n) be the number of all partitions of [n] with nosingleton blocks. And let A(n) be the number of all partitions of[n] with at least one singleton block. Prove...
- Q an LTIC system is specified by the equation (D2 +4D +4)y(t) = Dx(t) with initial condition y'(0) = -4... How do I findthe other initial condition?
- Q Write down the chromatic polynomials of(i)the complete graph K7;(ii)the complete bipartite graph K1,6.In how many ways can these graphs be coloured with ten colours?
- Q Find the solution of the systemx?=?4y, y?=3x,where primes indicate derivatives with respect to t, thatsatisfies the initial condition x(0)=1, y(0)=?1.
- Q 4. Prove that for any n?Z+, An ?Sn.
- Q Thapar theatre company needs to determine the lowest cost production budget for an upcoming theatre show. Specifically, they will have to determine the lowest which set pieces to construct and...
- Q Explain what truncating a Fourier series expansion and FourierIntegral does
- Q Show by induction that if a prime p divides a productof n numbers, then it divides at least one of thenumbers.Number theory course. Please, I want a clear and neat...
- Q A 1-kilogram mass is attached to a spring whose constant is 16N/m, and the entire system is then submerged in a liquid thatimparts a damping force numerically equal to 10...
- Q MATLABIn a traffic study of a street, the following information wasgathered.• Cars passed by at an average rate of 300 cars per hour.• The speed of the cars was normally...
- Q Unit 5 deals with two types of discrete random variables, theBinomial and the Poisson, and two types of continuous randomvariables, the Uniform and the Exponential. Depending on thecontext, these types...
- Q Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomialf (x) = (x ? h)(x ? a ? h)(x ? b ? h) + kpasses through the point (h,k),...
- Q Let U = {A ? Mat(2; ?) : AB = BA for all B ? Mat(2; ?)}.(i) Show that U is a subspace of Mat(2; ?).(ii) Show that E ? Mat(2;...
- Q Need the detailed calculation process about why at the same BERcondition, BPSK is 3dB more power efficient thatBFSK
- Q Regarding TVM:What are three solution techniques for solving lump sumcompounding problems?How does the future value of a lump sum change as the time isextended and as the interest rate changes?Why...
- Q Please answer question (b)9. (a) Show that the PDE Ux = 0 has no solution which is C1everywhere and satisfies the side condition u(x,x^3) = x , eventhough the side...
- Q Consider the ring homomorphism ? : Z[x] ?R defined by ?(x) =?5.Let I = {f ?Z[x]|?(f) = 0}.First prove that I is an ideal in Z[x]. Then find g ?...
- Q For each of the following matrices, find a minimal spanning setfor its Column space, Row space,and Nullspace. Use Octave Online toget matrix A into RREF.A = [4 6 10 7...
- Q redo Fundamental Theorem of Arithmetic for F[x], F=field,including whatever preliminary results.
- Q Prove that gcd(a,b) = gcd(a+b,lcm(a,b))
- Q 1. Solve the following system:2x1- 6x2- x3 = -38-3x1–x2 +7x3 = -34-8x1 +x2 – 2x3 = -20By:a. LU Factorizationb. Gauss-Siedel Method, error less that10-4Hint (pivoting is needed, switch rows).
- Q inhyperbolic/modern geometry. Let C be a circle and z any complexnumber. Prove that the point z* symmetric to z with respect to C isunique.
- Q Does there exist a partition of R that is an uncountablyinfinite partition that consists of uncountably infinite sets? Ifso, construct such a partition, otherwise prove that such apartition can not...
- Q a) Prove that n 3 ? 91n 2 ? 7n ? 14 = ?(n 3 ). Your answer mustclearly specify the constants c and n0.b) Let g(n) = 27n 2...
- Q The force of interest varies as a linear function from t = 0until t = 5 and as a quadratic function From t = 5 until t =10 (tin years)...
- Q An object of mass 2 kg is released from rest from a platform 30m above the water and allowed to fall under the influence ofgravity. After the object strikes the...
- Q Residents were surveyed in order to determine whichflowers to plant in the new Public Garden. A total of N peopleparticipated in the survey. Exactly 9/14 of those surveyed saidthat the...
- Q How to find the unit vectors for the following equation: r(t) =<e^t,2e^-t,2t>A) Compute the unit Tangent Vector, unit Normal Vector, and unitBinomial Vector.B) Find a formula for k, the curvature.C)...
- Q Inthe crowd funding case study what is ethical issues andrecognition
- Q Let M be the integer corresponding to the first letter of yourlast name. For example, if your last name begins with "A", M=1 andif your last name begins with "Z",...
- Q Indicate which of the following relations below areequivalence relations, strict partialorders, (weak) partial orders. If arelation is none of the above, indicate whether itis transitive, symmetric, or asymmetric. I won't...
- Q Use 4 steps of the Modi?ed Euler’s method to solve the followingdi?erential equation to t = 2.6, given that y(0) = 1.1. In yourworking section, you must provide full working...
- Q If the infimum of a bounded set E does not exist in E, then whymust E have a limit point. And if the infimum does exist in E, whyis it...
- Q The tank in the form of a right-circular cone of radius 7 feetand height 39 feet standing on its end, vertex down, is leakingthrough a circular hole of radius 4...
- Q Let x1 > 1 and xn+1 := 2?1/xn for n ? N. Show that xn isbounded and monotone. Find the limit. Prove by induction
- Q Let T? L(V), and let p ? P(F) be a polynomial. Show that if p(?)is an eigenvalue of p(T), then ? is an eigenvalue of T. Under theadditional assumption that...
- Q Calculate the Frenet framing, curvature and torsion of thehelix(a cos(t), a sin(t), bt)
- Q 2. Two hundred managers from various levels wererandomly selected and interviewed regarding their concern aboutenvironmental issues. The response of each person was tallied intoone of the three categories: No concern,...
- Q How to do a value stream map (VSM) of the customer orderingprocess for the X-opoly scenario?X-Opoly, Inc., was founded by two first-year college students toproduce a knockoff real estate board...
- Q Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomialf (x) = (x ? h)(x ? a ? h)(x ? b ? h) + kpasses through the point (h,k),...
- Q Are the following functions satisfiable?If the function is satisfiable, with a single line containing 4comma-separated values, each ofwhich is either True or False, for x, y, z, v in this...
- Q Use Matlab to solve the system x2+xy3=9 ,3x2y-y3 =4 using Newton's method fornonlinear system. use each of initial guesses(x0,y0)=(1.2,2.5), (-2,2.5), (-1.2,-2.5),(2,-2.5) observe which root to which the method converges, thenumber...
- Q 1)Solve the Laplace equation ?^2(u)=0 (two dimensions so ?^2/?a^2+ ?^2/?b^2) where the boundaries of the rectangle are 0 < a <m, 0 < b < n with the boundary conditions:u(a,0)...
- Q Find equations of the spheres with center(2, ?5, 5)that touch the following planes.(a) xy-plane (b) yz-plane (c) xz-plane
- Q Show that (?A)^† = ?*A^† and (A + B)^† = A^† + B^†for all ? ? C and all n × m matrices A and B.
- Q Suppose X1, X2, ..., Xn iid? Multinomial (p). a) What is the MLEfor the situation where p = (p1, p2, p3, p4), such that p1 = p2 andp3 = p4?...
- Q Let arcman(y) = arcsin(y) - arctan(y). Find range anddomain of arcman(y). Prove that y=man(z) exists when z=arcman(y).And find third order Taylor polynomial for arcman(y) andman(z).
- Q Puzzle #1 A kindergarten teacher knows that exactly one of fourstudents, Kathy, Andy, Jose, or Dana, took Amy’s cookie. When askedabout who did it, Kathy said: “Andy did it.”, Andy...
- Q Let G be a group and let N ? G be a normal subgroup.(i) Define the factor group G/N and show that G/N is agroup.(ii) Let G = S4, N...
- Q Producers' SurplusThe demand function for a certain brand of CD is given byp = ?0.01x2 ?0.2x + 11where p is the unit price in dollars and x isthe quantity demanded...
- Q What is the number of routes from (0, 0, 0) to (0, 20, ?10)such that you move by (2, 0, 0) or (0,1,1) or (?1,0,?1) but youdon’t make two (2,0,0)...
- Q Can someone make an example problem from these instructions?This is Linear Algebra and this pertains to matrices.Find the inverses and transposes of elementary andpermutation matrices and their products.Use your own...
- Q . Recall from the previous page that for each pair a, b with a ?R ? {0} and b ? R, we have a bijection fa,b : R ? R...
- Q A 10 10 kilogram object suspended from the end of a verticallyhanging spring stretches the spring 9.8 9.8 centimeters. At time?=0 t = 0 , the resulting mass-spring system is...
- Q In how many ways can the numbers 0 through (2n ? 1) be arrangedin 2 rows of length n in such a way such that each row and eachcolumn is...
- Q An employee is working 6 days a week fromMonday to Saturday. Assume the overtime forthe employee is double after 40 hours. Thefollowing table showshis working hours.Complete the table below (Show...
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