Advance Math question and answers for July 09, 2023
- Q Draw the labeled tree with Prufer code 344567
- Q Use the Laplace transform to solve the given system ofdifferential equations.d2x/dt2 + x − y = 0d2y/dt2 + y − x = 0x(0) = 0, x'(0) = −4y(0) = 0,...
- Q Determine by hand calculation (show all steps) the clamped cubicspline that interpolates the data f(-3) = 2 ; f(-1) = -3 ; f(0) = 1; f(3) = 6 ; f(5)...
- Q In Section 1.8 of the text there are standard translationmatrices defined. Choose two and determine their product.Use the product matrix and determine the transformation of oneof the geometric shapes created...
- Q State and prove the Generalised Mean Value Theorem.
- Q use variation of parameters to solvey''+y'-2y=ln(x)
- Q Classify (if possible) each critical point of the given planeautonomous system as a stable node, a stable spiral point, anunstable spiral point, an unstable node, or a saddle point. (Orderyour...
- Q Use the power series method to solve the given initial-valueproblem. (Format your final answer as an elementary function.) (x −1)y'' − xy' + y = 0, y(0) = −7, y'(0)...
- Q Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2,· · · f(an+1) = bn+1 where a1, a2, · · · an+1 are n + 1...
- Q Let K be a field. Observe that the polynomials in K[x] that arenot zero and not units are precisely the polynomials of positivedegree.
- Q Was the Elements an exposition of the most advancedmathematics of its time? (Elements by Euclid)
- Q Find the solution of the initial value problem y′′−2y′−3y=15te2t, y(0)=2, y′(0)=0.
- Q Exercise (a)Use Euler's method with each of the following step sizes toestimate the value of y(1.6), where y is thesolution of the initial-value problem y' = y,y(0) = 6.(i)Â Â Â Â h =...
- Q could you explain the differences and the similarities betweenundetermined coefficients method and annihilator method? also,could you please solve an example step by step to explain how theannihilator method works?
- Q Subject is differential equations.Find the first four nonzero terms in a power series expansionabout x=0 for a general solution to the given differentialequations.a) y' + (x+5)y = 0b) y'' +...
- Q What conditions have to be checked to determine if a function is\"well defined\"? How would I show that a function is notwell defined?
- Q This question is about the sequential moves Stag Hunt game.There are two players. Player 1 moves first, player 2 observesplayer 1’s move, and then player 2 moves. Players get 10...
- Q Consider the differential equation2y^2+10y+12 = t+e^tFind the complementary function and particular integral. Hencewrite down the full general solution
- Q Exercise 1.13.5: Determine and prove whether an argument inEnglish is valid or invalid.Prove whether each argument is valid or invalid. First find theform of the argument by defining predicates and...
- Q Solve the given system of differential equations. ??/?? = ? + 4???/?? = ? + y
- Q Consider walks in the X-Y plane where each step is R: (x,y)→(x+1, y) or U: (x, y)→(x, y+a), with a a positive integer. Thereare five walks that contain a point...
- Q In 6 years Harry and Sally would like to have $28,000.00 for adown payment on a house. How much should they deposit each monthinto an account paying 5% compounded monthly?
- Q Course: Discrete MathShow/Prove that the principal of strong induction and regularinduction are equivalent.
- Q Let a_n denote the number of sequences of 0's and 1's that donot contain two consecutive 0's. Determine a_n.
- Q (Transient Current)An RLC series circuit has a voltage source given by E(t) = 20sin(t)V, an inductor of 3 H, a resistor 6 Ω, and a capacitor of 1/3 F.Find the...
- Q The Poisson probability distribution, associated with a waitingline, is characterized by a parameter known as arrival rate.Explain this concept and describe its connections with themanagement of a waiting line.
- Q Boundary-Value Problems in Other Coordinate SystemsSolve ∆u = 0 in a disk x^2 + y^2 ≤ 25, where u(5, θ) = 7 sin 3θ− 6 sin 8θ and u is...
- Q Jones Company provided the following information:Fair value of the reporting unit, including goodwill$1,400,000Book value of reporting unit, excluding goodwill $1,000,000Add: Carrying value of goodwill 600,000Carrying value of the reporting unit,...
- Q Research eigenvalues/eigenvectors. Identify an application wherethey are used and explain how they are used in the application indetail. Your post should be 2 - 3 paragraphs in length. Be sure...
- Q Two tanks contain a mixture of water and alcohol with tank Acontain- ing 500 L and tank B 1000L. Initially, the concentrationof alcohol in Tank A is 0% and that...
- Q For f(x) = x^3/(x+1) from x =1 to x=5Find the actual area under the curve. (hint, let u =(x+1)Estimate the area under the curve using the trapezoidal rulefor n=4 and...
- Q 3) Generate an invertable 3x3 matrix where the elementsconatain 1 through 9 inclusive. Determine the QR decomposition foryour matrixe.g. contains all the required elements but is not invertable.See example on...
- Q Suppose we restrict the domain of the Post correspondenceproblem to include only alphabets with exactly two symbols. Is theresulting correspondence problem decidable?
- Q Prove or disprove that the union of two subspaces is a subspace.If it is not true, what is the smallest subspace containing theunion of the two subspaces.
- Q 11.Give a 95% confidence interval, for μ1−μ2μ1-μ2 given thefollowing information.n1=25n1=25, ¯x1=2.65x¯1=2.65, s1=0.91s1=0.91n2=45n2=45, ¯x2=2.45x¯2=2.45, s2=0.83---------- ± -----------  Use Technology Rounded to 2decimal places.13.Two samples are taken with the following numbers of successesand...
- Q Compare the monthly payments and total loan costs for thefollowing pairs of loan options. Assume that both loans are fixedrate and have the same closing costs.You need a ​$110,000 loan.Option​...
- Q Please answer with a solution. Thank You!1) Given a differential equation(1−2x2−2y)dy−(4x3+4xy)dx = 0. Is it an exactequation? Justify your answer. Solve the equation.2) Given a differential equation (y3 − y2sinx...
- Q Describe what happens to the graph of ?(?) = ?(? − ℎ)2 + ? wheneach of the variables has the following changes:k: positive:k: negative:h: positive:h: negativea: negative|?|>1:|?|<1:The discriminant tells you...
- Q find arecurrence relation for the number of bit strings of length n thatcontain the string 10. What are the initial conditions? How manybit strings of length eight contain the string...
- Q Prove that the set of classifiers F={f : f(x)=sign(sin(ωx)),ω≥0} operating in one dimension with input space X=[0,2π] isinfinite.Please write as clear as possible, the picture is always blurry,so please make...
- Q A study of undergraduate computer science students examinedchanges in major after the first year. The study examined the fatesof 256 students who enrolled as first-year students in the samefall semester....
- Q Project Risk = Probability of event * Consequences ofeventLet’s investigate the quantitative risk identified for acompany, last year.Probability of Failure CategoryProbability of FailureConsequences of Failure CategoryProcess Maturity30%Performance = 55%Technical Complexity25%Schedule...
- Q Consider, in the xy-plane, the upper half disk of radius R, withtemperature u governed by Laplace's equation, and withzero-Dirichlet B.C. on the (bottom) flat part of the disk, andNeumann B.C....
- Q A.)what happens when the skewness and kurtosis increase or decreasewhen investing in real estate ( explain why)B.) what decisions do real estsate investors make based onskewness and kurtosis?C.) What will...
- Q 1. Sketch the graph of a function that has degree 3, and zerosat -2, +2, and +3. Is there only one possible graph? Explain.2. Find the equation of a 3rd...
- Q Problem 4. Assume F is of bounded variation andcontinuous. Prove that F = F1 − F2, whereboth F1 and F2 are monotonic andcontinuous.
- Q Use strong induction to show that every positive integer n canbe written as a sum of distinct powers of two, that is, as a sum ofa subset of the integers...
- Q Air Shangrila sells to both tourist and business travelers onits single route. Tourists always stay over on Saturday nights,while business travelers never do. The weekly demand function oftourists is        QdT=8,000−5P,and...
- Q howis kurtosis used in real estate investments ?
- Q please explain the solution and whatit is wrong with my conception. FOLLOW theCOMMENT PLEASEQuestion:Let A and B are nonempty set bounded subset of R, and let A+B bethe set of...
- Q In a game show, a wheel of fortune is rotated five times withthree sectors of the same size in the colors blue, red and white.What is the probability of the...
- Q Assignments1. Construct ONE inductive Argument byExample.2. Construct ONE inductive Argument byAnalogy.3. Construct ONE inductive Argument fromAuthority.Given what you know so far, evaluate the following instance ofthe basic form of the...
- Q a. Using the Euclidean Algorithm and Extended EuclideanAlgorithm, show that gcd(99; 5) = 1 and find integers s1 and t1such that 5s1 + 99t1 = 1.[Hint: You should find that...
- Q Infosys has to decide how many candidates are to be given OfferlettersafterCampus Interviews scheduled to be conducted in August/Sept2020.Thecurrent strength of IT Engineers is 45000.Targettedsrength by April 2021 is 50000Number...
- Q certain examples if derivatives in Economics andCommerce
- Q Give an example for each of the following. Justify youranswers.i) an infinite subset of E1 with no cluster points.(consider Z)ii) a complete metric space that is bounded but not compact(hint:...
- Q Solve the system of linear equations using the Gauss-Jordanelimination method.2x + 3y - 2z = 83x - 2y + 2z = 24x - y + 3z = 2(x, y, z)...
- Q Select one improvement program that you have observed in anorganization. The program of improvement may focus on quality,safety, absenteeism, costs, or other matters. With respect toimplementation the program:A) What where...
- Q Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Question TwoFaulu College has a total of 52students undertaking three courses namely; Business Mathematics,Economics and Law. During recently conducted examinations, 13students excelled in Business Mathematics and Law, 16 studentsexcelled in...
- Q The One-Way ANOVA applet lets you see how theF statistic and the P-value depend on thevariability of the data within groups, the sample size, and thedifferences among the means.(a)The black...
- Q We usually write numbers in decimal form (or base 10), meaningnumbers are composed using 10 different “digits†{0,1,...,9}.Sometimes though it is useful to write numbers in hexadecimal orbase 16. Now...
- Q a. Find the x-value of each point under the given translations :(-1,-6) with a horizontal translation of 5 unitsb. Find the y value of the image of the point under...
- Q Mathematical Analysis conceptional, You need to answerthe question clearly, such as say Yes, and the explain. Follow thecommentSet conceptional question1. Are all open sets are open?For  example(2,3), (5,9)2. Are all closed...
- Q Solve the scissors, paper, rock game. This game is well known inmany parts of the world. Two players simultaneously present a handin one of three positions: an open hand (paper),...
- Q A toy manufacturing uses 48000 rubber wheels per year for itspopular dump truck series. The firm makes its own wheels, which itcan can produce at a rate of 800 per...
- Q Hello!Please let me know, thank you!You have a credit card with a balance of $13,600 and an APR of18 percent compounded monthly. You have been making monthlypayments of $260 per...
- Q For a roll with two dice, the following events areconsidered:A: The sum of eyes is greater than 7.B: Exactly one of the two numbers is a 5.C: No 1 is...
- Q Compute the determinant of A, where A= a 4x4 matrix [1 -3 0 0; 21 0 0; 0 0 1 2; 0 0 2 1] a 4x4 matrix [2 5...
- Q Bridgton Golf Academy is evaluating new golf practice equipment.The \"Dimple-Max\" equipment costs $146,000, has a 4-year life, andcosts $10,300 per year to operate. The relevant discount rate is 12percent. Assume...
- Q When using the import wizard in MATLAB to import data fro, a.csv file the data appears in MATLAB in the following format\"35:53.2\" how do I convert this into more usable...
- Q Find 8 decimal place approximation for all three solutions ofthe functionx^3-4x+1Use -2, 0, and 2 as first guesses, organizing data values inside-by-side columns.
- Q A contractor builds two types of homes. The Carolina requiresone lot, $160,000 capital, and 160 worker-days of labor, whereasthe Savannah requires one lot, $240,000 capital, and 160worker-days of labor. The...
- Q y''−2xy' + λy = 0, −∞ < x < ∞ where λ is a constant, isknown as the Hermite equation, named after the famous mathematicianCharles Hermite. This equation is an...
- Q A wing-body model is tested in a wind tunnel with aflow of 100 m/s at standard sea-level conditions.The wing area is 1.5 m^2 and the mean aerodynamicchord length is 0.45...
- Q Show that the number of labelled simple graphs with n verticesis 2n(n-1)/2. (By induction way!)
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