Advance Math question and answers for August 11, 2023
- Q Find all the complex numbers z for which the multiple-valuedfunction (1+i)^z provides complex numbers which all have the sameabsolute value.
- Q solvey' +(x+2/x)y =(e^x)/x^2 ; y(1)=0
- Q Is reflection across a line L through the origin an invertibletransformation of R 2 ? If so, find the matrix representation ofthe inverse; if not, explain why not.
- Q Take the smallest cellular structure forthe circle X =S1 consistingof a single 0-cell and a single 1-cell. Let Y be the same circlewith two 0-cells and two1-cells with the ends...
- Q Suppose that the rate of change of the price "x " of a goodincreases in thetime at a constant ratio "c" as a result of inflationconstant, at the same time...
- Q Find the power series solution of the differential equationusing the FROBENIUS METHOD xy"+y'+4xy=0 Show all of the steps.
- Q The temperature at some instant (t = 0) of a laterally insulatedsolid rod of 1 unit length is given by ?(?,?) = sin ?? for 0 ? x ?1, where...
- Q True or False? The data in the table below depict y as anexactly exponential function of x.x-2-1012345y93751875375751530.60.12
- Q Overbooking flightsEagle Air is a small commuter airline. Eachof their planes holds 15 people. Past records indicatethat only 80% of people with reservations (tickets) do showup. Therefore, Eagle Air decides to...
- Q Describe inequalities as presented in the assignedreading for this week. Why are some inequalities represented with asolid point and others represented with an open point? Proposeanother method for representing inequalities.First...
- Q 1)How many license plates are there if they start with threecapital letters followed by 4 digits from 0 to 9. (Note thatletters and digits can be repeated?2)In how many ways...
- Q Find a recurrence relation fot the power series solutions ofdifferential equation y''-2xy'+8y=0 about the ordinary pointx=0.
- Q Dixie Showtime Movie Theaters, Inc., owns and operates a chainof cinemas in several markets in the southern U.S. The owners wouldlike to estimate weekly gross revenue as a function of...
- Q In each case, determine a 3 × 3 matrix ? that fits thedescription. Justify that the conditions are met in each case.(a) Matrix ? has rank 1 and ? +...
- Q Let G be a Group. The center of, denoted by Z(G), is defined tobe the set of all elements of G that with every element of G.Symbolically, we haveZ(G) =...
- Q 4. Use a proof by contradiction to show that the square root of3 is irrational. You may use the following fact: For any integer k,if k2 is a multiple of...
- Q The cutting ratio in an orthogonal cutting model is given byTo/Tc = sin?/Cos(?-?)What is:? = ?? = ?
- Q PLEASE SOLVE IN EXCEL.Consider a cash flow profile in which $3000 is received at t=1,spent at t=2, and received at t=5, and $3000 is received at t=3.Suppose the interest rate...
- Q Find the (a) amplitude, (b) period, (c) phase shift (if any),(d) vertical translation(if any), and (e) range of each function.then graph the function over at least one period.1) y=-1/4 sin(3/4x+180degrees/8)2)y=-3+3sin1/2x3)y=2/3cos(x=180degrees/2)
- Q Linear Optimization (Math 423) Problem, prove an analog of thefollow theorem:Thm 2.4: Consider the constraints Ax = b and x ? 0 andassumethat the m X n matrix A has...
- Q How can bias change results in a study? How can bias influence aperson who wants to conduct a study? What key things can you lookfor when conducting a study to...
- Q 2. A study was conducted of 90 adult male patients following anew treatment for congestive heart failure. One of the variablesmeasured on the patients was the increase in exercise capacity...
- Q prove by epsilon-delta definition that f:R->R givenby f(x)=x^3 is continuous at x=2
- Q Differential equations-Cengel 2.98A spherical tank of radius R is initially filled with water. Now ahole of radius r is opened at the bottom of the tank and the wateris let...
- Q why do the scale factors h_1, h_2, and h_3 show up forcurvilinear coordinate systems?
- Q Give an example of a set A subset the real numbers for whichboth A and the complement of A are unbounded.
- Q Sketch the followingregions: | z + 3e?i/4| =3 2. { ez | Im z = 1}
- Q Consider P|rj, prec|Cmax. Show that thegreedy algorithm is a 2-approximation.(It pertains to Scheduling Theory, Algorithms, and Systems.)
- Q In Excel, create a 2x30 data table with the left columnrepresenting a population of prey and the right column representinga population of predators. Use the population model presentedbelow.Let the startingvalues...
- Q Foreach model (Euclidean, Taxicab, Max-Distance, Missing Strip, andPoincaré Half-Plane) find a ruler where f(P)=0 and f(Q)>0 for:a) P(3,4) Q(3,7)b) P(-1,3) Q(1,2)Just need help with part b
- Q ineed a very detailed proof(Showyour work!)Let n> 1. Prove: The sum of the positive integers less than or equalto n is a divisor of the product of the positive integers...
- Q Use the simplex method to solve the following problem. Find y1 ??0, y2 ? ?0, and y3 ? 0 such that2 y1 + 7 y2 + 3 y3 ? 11?,2...
- Q Project on Orthonormal Matrices.Need to write paper on Orthonormal Matrices with wordscitation.
- Q Q. Let A be a real n×n matrix.(a) Show that A =0 if AA^T =0.(b) Show that A is symmetric if and only if A^2= AA^T
- Q Let V be a finite-dimensional vector space over C and T in L(V).Prove that the set of zeros of the minimal polynomial of T isexactly the same as the set...
- Q Let f: X?Y and g: Y?Z be both onto. Prove that g?f is an ontofunctionLet f: X?Y and g: Y?Z be both onto. Prove that f?g is an ontofunctionLet f:...
- Q On a certain flight, from prior data, 70% of passengers will buya meal. A typical row in the economy section of this flight seats10 in "3-4-3" seating. Create an Excel...
- Q Are nursing salaries in Tampa, Florida, lower than those inDallas, Texas? As reported by the Tampa Tribune, salarydata show staff nurses in Tampa earn less than staff nurses inDallas. Suppose...
- Q Corporate valuation modelThe corporate valuation model, the price-to-earnings (P/E)multiple approach, and the economic value added (EVA) approach aresome examples of valuation techniques. The corporate valuationmodel is similar to the dividend-based...
- Q Find the equations for the tangent line and the normal line tothe curve x^2 + arcsin(x + y ? 1) = y^2sqrt(8x) at the point (2,?1)..
- Q The Centers for Disease Control and Prevention Office on Smokingand Health (OSH) is the lead federal agency responsible forcomprehensive tobacco prevention and control. OSH was establishedin 1965 to reduce the...
- Q A mass weighing 16 pounds stretches a spring 8 3 feet. The massis initially released from rest from a point 7 feet below theequilibrium position, and the subsequent motion takes...
- Q 1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1,y'(1)=-22.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=03. Given that y1(x)=x is a solution of xy''-xy'+y=0 on (0,inifinity, solve the IVP: xy''-xy'+y=2 on(0,infinity), y(3)=2,y'(3)=114....
- Q Create a Linear Program solver using Matlab or Python. Promptvariable and constraint entry.
- Q Find the total number of Nash equilibria of the “divide adollar” game.
- Q Evaluate the following integrals using trigonometricidentities(a) intergal sin6 x cos3 x dx(b) Z ?/2ocos5 x dx(c) Zsin3(?x)?xdx(d) Ztsin2t dt(e) Ztan2? sec4? d?(f) Zx sec x tan x dx
- Q Problem 3. Consider the unit interval [0, 1], and let ? be fixedreal number with ? ? (0, 1) (note that the case ? = 1/3 correspondsto the regular Cantor...
- Q Increased Efficiency, Inc. is looking for ways to shorten itscash conversion cycle. It has annual sales of $36,500,000, or$100,000 a day on a 365-day basis. The firm's cost of goods...
- Q Sales of roof material, by quarter, since 2005 for Carolina HomeConstruction Inc. are shown below (in $ thousands).QuarterYearIIIIIIIV20042101806024620052142168223020062462289128020072582501132982008279267116304200930229011431020103212911203201. Determine the typical seasonal patterns for sales using theratio-to-moving-average method. (PLEASE DONOT...
- Q What is an equation? How are they clasified according to the degreeof their terms? What is the procedure to solve equations?
- Q Derive the coordinate transformation changes form the sphericalto Cartesian
- Q C.W. Churchman once said that "mathematics tends to lull theunsuspecting into believing that he who thinks elaborately thinkswell." Do you think that the best QA models are the ones that...
- Q Solve the congruence: 1287x ? 447 (mod 516)
- Q 28. calculate the present value of the annuity.(Round your answer to the nearest cent.)$1300 monthly at 6.3% for 30 years.29. determine the payment to amortize the debt. (Round youranswer to the...
- Q Planning a festival. The Earth Day Committeehas begun planning for an Earth Day festival. We list the subtasksfor this project and the dependencies among them in the followingtable. Draw a...
- Q PharmaPlus operates a chain of 30 pharmacies. The pharmacies arestaffed by licensed pharmacists and pharmacy technicians. Thecompany currently employs 100 full-time-equivalent pharmacists(combination of full time and part time) and 175full-time-equivalent...
- Q Find most general solution tot2 y'' - 3ty' + 8y = 20t-2Please state any methods you apply.
- Q Numerical Analysis: Perform the steps of the secant method toapproximate the first three positive roots of the transcendentequation x = sin (?x).
- Q You have been hired as a consultant to advise Sandbaggers, Inc.,a company that purchases silica sand, cleans it, and then sells thesilicon dioxide to manufacturers of computer chips. Sandbaggers,Inc., operates...
- Q Create a table that computes the money in an account for threeyears under the following investment scheme: the account starts at$500, each month 0.75% is added in interest and then...
- Q Suppose that your air conditioner fails on Sunday at midnight(t0 = 0),and you cannot afford to have it repaired until payday at the endofthe month. Assume that the outside temperature...
- Q UCCimpact on supply chain management?
- Q Please show all steps and write neatly. Make sure the proving iswith letters and not with numbers. Please!!!! Thank youLet A, B, C be 3 x 3 matrices. Show (AB)C=A(BC)
- Q Given is a population of wolves (W) and rabbits (R). R[t+1] =R[t]+ g*R[t] * (1 – R[t]/K) - sR[t]W[t] W[t+1] = (1-u)W[t] +vR[t]W[t] Where the carrying capacity of rabbits is...
- Q Given the following utility matrix, representing the ratings, ona 1–5 star scale, of eight items, a through h, by three users A, B,and C:abcdefghA455132B343121C213453After we normalize the matrix by subtracting...
- Q Expressions and EquationsThink about a scenario when you would use an expression and anequation in a real life application. Discuss each scenario andexplain how to write the expression and equation....
- Q Assume you have been recently hired by the Department ofTransportation (DoT) to analyze motorized vehicle traffic flows.Your initial goal is to analyze the traffic and traffic delays in alarge metropolitan...
- Q a) Show that if A is a real, non-singular nxn matrix, thenA.(A^T) is positive definite.b) Let H be a real, symmetric nxn matrix. Show that H ispositive definite if and...
- Q Let R be a commutative ring with unity. If I is a primeideal of R, prove that I[x] is a prime ideal of R[x].
- Q 2- Ordinary Differential Equationsa) y'+y = sen(x)b)By what technique do you solve an ODE below: (x + yˆ2) dy +(y-xˆ2) dx = 0?c) Solve the following ODE by Exact Equation:...
- Q Identify at least three cash flow model inputs that aresignificantly stochastic in your opinion. Define appropriateprobability distribution to covert these input data to randomvariables. Estimate the host governments take (HGT)...
- Q The Department of Foreign Languages of a liberal arts collegeconducted a survey of its recent graduates to determine the foreignlanguage courses they had taken while undergraduates at thecollege. Of the...
- Q An Introduction of the Theory of Groups - Fourth Edition (JosephJ. Rotman)If H ? G, then show that G acts transitively on the set of allleft cosets of H (Theorem...
- Q 2^x=2-x
- Q Consider the following collections of subsets of R:B1 ={(a,?):a?R},B2 ={(??,a):a?R},B3 ={[a,?):a?R},B4 = {[a, b] : a, b ? R},B5 = {[a, b] : a, b ? Q},B6 ={[a,b]:a?R,b?Q}.(i) Show that...
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