Advance Math question and answers for July 14, 2023
- Q Gwen runs back and forth along a straight track. During the timeinterval 0≤t≤45 seconds, Gwen’s velocity, in feet per second, ismodeled by the function v given byv(t)=(250sin(t^2/120))/(t+6).(a) What is the...
- Q Kane Manufacturing has a division that produces two models ofhibachis, model A and model B. To produce each model A hibachi requires 3 lb of cast iron and 6 min...
- Q Monsanto sells genetically modified seed to farmers. It needs todecide how much seed to put into a warehouse to serve demand forthe next growing season. It will make one quantity...
- Q Explain why the general solution of the Nonhomogeneous Second OrderLinear Equation (NHSLE) y''+ p(x)y' + q(x)y = f(x) has the form y =y_h + y_p where y_p is a particular...
- Q 2.57.In a survey of college​ students, each of the following wasfound. Of these​ students,356356owned a​ tablet,294294owned a​ laptop,280280owned a gaming​ system,195195owned a tablet and a​ laptop,199199owned a tablet and a...
- Q An analogy: a child with blocks and constraints on physicalsystems. A certain child’s room ispartitioned into 100 squares. His toy box in the corner isexactly one square in size and...
- Q The indicated functiony1(x)is a solution of the associated homogeneous equation. Use themethod of reduction of order to find a second solutiony2(x)of the homogeneous equation and a particular solutionyp(x)of the given...
- Q You are valuing Soda City Inc. It has $110 million of debt, $90million of cash, and 140 million shares outstanding. You estimateits cost of capital is 12.4%. You forecast that...
- Q Problem: Each student must create and solve anapportionment problem using what you have learned in this chapter.The problem must have at least four \"states\" and 30 \"seats\". Youmust choose one...
- Q You are the building manager for a cylindrical skyscraper with aslanted roof. You must contract a window cleaner fwho works for $35an hour and can clean 1 square meter of...
- Q Show which of the following models can be estimated by the OLS,where X, y and Z are variables and α,β,γ are parameters to beestimated. The models can be rearranged if...
- Q Let X be a set containing infinitely many elements, and let d bea metrio on X. Prove that X contains an open set U such that U andits complement Uc...
- Q Suppose an electrical circuit contains a 1 H inductor, a 10 Ωresistor and a capacitor rated at 1/7 F. If the circuit is hookedup to an alternating voltage source described...
- Q Use the variation of parameters method to solve the differentialequation:y''' - 16y' = 2
- Q National Highways Authority (NHA) is considering apublic-private partnership with Friends construction as maincontractor using a DBOMF contract for a new 50-mile motorway on theoutskirts of Baluchistan Province. The design includes...
- Q can we have two limit cycles in a 2d state space? if possiblehow can we draw them?
- Q Derive a formula relating the angle sum of a quadrilateral on asphere of radius R to its area.
- Q please write a very detailed plan (not necessarily code) forcracking a Vigenere cipher that determines keyword length andapplies affine decrypter to the substrings and puts them backtogether.using two functions spilt(string,...
- Q PLEASE MAKE SURE IS A \"MINITAB\" ANSWER, OTHERWISE... DON'TBOTHER. THANK YOU.A company that stamps gaskets out of cork sheets and wants tocompare the mean number of gaskets produced per hour...
- Q Using the techniques described in this chapter carefully readthrough the case study and determine the most accurate ICD-10-CMcode(s) and external cause code(s) if appropriate. Remember, checkthe chapter specific, sub-chapter specific...
- Q Question 1a) Prove that if u and v are distinct vertices of a graph G,there exists a walk from u to v if and only if there exists a path(a...
- Q Write and submit at a Matlab function that sums up a specifiednumber of odd-power terms from the Maclaurin series ofsin(x)Â Â using following function formatfunction s = etaylor(x, n)% Sum of first...
- Q discuss why understanding the intersections and differences ofreligion and morality are important when studing ethics
- Q Consider the following. W(r, h) = 2.8r2(1.08h) + 59r(0.3h2 −3.3h + 72) when r = 13, h = 63, and Δr = −1.5 (a) Calculate theoutput associated with the given...
- Q Suppose we are given the unit square S in the plane with corners(0, 0), (1, 0), (1, 1) and (0, 1). Let T : R 2 → R2 be a...
- Q Prove that if A and B are enumerable, so is A x B.
- Q 1. You deposit $4000 in an account earning 5% interestcompounded monthly. How much will you have in the account in 5years?2. Find the time required for an investment of 5000...
- Q Find Eigenvalues and eigenvectors6 -2 22 Â Â 5 0-2 Â Â 0 7
- Q A projective plane is a plane (S,L ) satisfying the followingfour axioms. P1. For any two distinct points P and Q there is oneand only one line containing P and...
- Q In how many ways you can triangulate a simple polygon with nvertices. Give both qualitative and quantitative answer.
- Q Calculate the OC curve of the 2.5-sigma C-chart to control thenumber of defects per engine assembly at nine. Use c values of 3,5, 7, 9, 10, 15, and 20.
- Q Use the Function Design Recipe (FDR) to design, codeand test the definition of a new function named distance. Thisfunction returns the distance between two points, given by thecoordinates (x1, y1)...
- Q Let p be the prime number (2^20)*(3^7)5 + 1 = 11466178561. Solvefor x such that 2^x ≡ 2376886429 (mod p) Explain your methodcarefully.
- Q Describe a real-world prediction problem using urban data forwhich accuracy is paramount and interpretability may beless important, and for which it might be preferable to use randomforests rather than decision...
- Q 4. (a) Use the Euclidean algorithm to find the greatest commondivisor of 21 and 13, and the greatest common divisor of 34 and21.(b) It turns out that 21 and 13...
- Q 1.Is there evidence of multicollinearity? Perform Factoranalysis by extracting four factors and name for those factors.Problem needs to solved using RIDProdQualEcomTechSupCompResAdvertisingProdLineSalesFImageComPricingWartyClaimOrdBillingDelSpeedSatisfaction18.53.92.55.94.84.966.84.753.78.228.22.75.17.23.47.93.15.35.53.94.95.739.23.45.65.65.47.45.84.56.25.44.58.946.43.373.74.74.74.58.874.334.8593.45.24.62.264.56.86.14.53.57.166.52.83.14.144.33.78.55.13.63.34.776.93.752.62.12.35.48.94.82.125.786.23.33.94.84.63.65.16.95.44.33.76.395.83.65.16.73.75.95.89.35.94.44.67
- Q Solve using Laplace Transformty'' + 2(t-1)y'-2y = 0 y(0)=0, y'(0)=0, Y(s) = C/(s^2+2s)^2 (Cis arbitrary)
- Q The input-output (consumption) matrix for a closed economy isgiven below. Solve the associated input- output model. Use r if youneed a variable in your answer. [0.07 0.05 0.27] [0.17 0.48...
- Q Describe a real-world prediction problem using urban data forwhich interpretability of your models and results isessential, and for which it might be preferable to use decisiontrees rather than random forests....
- Q Use the Frobenius method to solve: 2xy\"-3y'+y=0. Findindex r and recurrence relation. Compute the first 5 terms(a0 – a4) using the recurrence relation foreach solution and index r.
- Q Prove by Induction.Prop: if the (greatest common factor) gcf(a,m) = f then there isk, l with ka + lm = fSteps that we have already established is,m = a(q1) +...
- Q (a) Show that the length of the broken line satisfies Length(L)≥ |AB|.(b) Show that L achieves the lower boundLength(L) = |AB|if and only if the vertices V1,...,Vk−1 all lie on...
- Q find all solutions of the congruence x^2=60(mod77)
- Q There are five distinct white and seven distinct blue shirts ina wardrobe. Find the number of ways of taking four shirts from thewardrobe such that a) they could be either...
- Q Is it true that every symmetric positive definite matrix isnecessarily nonsingular? (Need to show some form of proof, not justyes or no answer)Please add some commentary for better understanding.
- Q The Fellowship of the Ring traveling through the mountains ofMoria (which are described by the functionf(x,y)=12x2y2e(-x2-y2))and they find themselves at the point A=(1.5, -1, 1.05). They needto get to the...
- Q Given the vector function r(t)=〈√t , 1/(t-1) ,e^2t 〉 a) Find: ∫r(t)dt b) Calculate the definite integral of r(t) for 2 ≤ t ≤ 3can you please provide a Matlab...
- Q Let p be an integer other than 0, ±1.(a) Prove that p is prime if and only if it has the propertythat whenever r and s are integers such that...
- Q Determine whether it is true of false and justify youranswer.Every nonempty bounded set S of real numbers has asupremum and infimum, but those might not be elements of theset.
- Q Topic: Differential Equations; reductionorder.The indicated fuction y1(x) is a solution of thegiven differential equation. Use the reduction ordertechnique to find a second solution y2(x).xy'' + y' = 0;Â Â Â y1= ln(x)Please,...
- Q Some species of rodents live on average 6 years. In the firsttwo years of life they do not reproduce and only 20% of the femalesborn alive reach 2 years of...
- Q She uses e-commerce or she pays by credit card. She does not payby credit card. Using a truth table we get result ending T T F Fwith the T matching...
- Q If {v1, v2, v3, v4} is a linearly-independent subset of avector space V over the field Q, is theset {3v1 + 2v2 + v3 + v4, 2v1 + 5v2, 3v3...
- Q Use euler method to approiximate y(1)y' is given , solve for y. approiximate y(1)Create a table to show the approximate value of y(1) for eachchoice of h.y’ = -15y y(0)...
- Q 0.3 The Fibonacci numbers Fn are defined by F1 = 1, F2 = 1 andfor n >2, Fn = F sub (n-1) + F sub (n-2). Find a formula for...
- Q (e) Find the first 4 terms of the Taylor series forthe following functions(i) ln x centered at x0 = 1 . [8](ii) sin x centered at x0 =Ï€4
- Q Solve the following initial value problems:a) ut+xux= -tu, x is in R, t>0; u(x,0) =f(x), x is in R.c) ut+ux=-tu, x is in R, t>0; u(x,0)=f(x), x is in Rd)2ut+ux...
- Q Prove the following statements!1. There is a bijection from the positive odd numbers to theintegers divisible by 3.2. There is an injection f : Q→N.3. If f : N→R is...
- Q Prove the following statements!1. Let S = {0, 1, . . . , 23} and define f : Z→S by f(k) = rwhen 24|(k−r). If g : S→S is defined...
- Q Prove the following statements!1. If A and B are sets then(a) |A ∪ B| = |A| + |B| − |A ∩ B| and(b) |A × B| = |A||B|.2. If the...
- Q 4. Translate each of the following statements into a symboliclogic and tell if each of the following is true or false, with afull justification (you do not have to justify...
- Q Write each vector as a linear combination of the vectors inS. (Uses1 and s2,respectively, for the vectors in the set. If not possible, enterIMPOSSIBLE.)S = {(1, 2, −2), (2, −1,...
- Q 1)Â Â Recall, a truth table for a proposition involvingpropositional symbols p and q uses four rows for the cases p true,q true, p true, q false, p false, q true and...
- Q Let f: A ->B and g:B -> A be functions. Prove that if fogis one-to-one and gof is onto, then f is a bijection.
- Q Suppose there are two lakes located on a stream. Clean waterflows into the firstlake, then the water from the first lake flows into the secondlake, and then water from the...
- Q Using extended euclidean algorithm find f(x) and g(x) in:f(x)(x^5 + 4x^4 + 6x^3 + x^2 + 4x + 6) + g(x)(x^5 + 5x^4 + 10x^3 +x^2 + 5x + 10)...
- Q The campaign manager for a politician who is running forreelection to a political office is planning the campaign. Fourways to advertise have been selected: TV ads, radio ads,billboards, and social...
- Q A seqstringis a sequence of 18 letters(one of the 26 lowercase letters a-z).How many seq strings are there where the number of letters betweenany two occurences of the same letter...
- Q Find s shuffle of a deck of 13 cards that requires 42 repeats toreturn to the original order. How about one requiring 30repeats?
- Q In math class, a student has written down a sequence of 16numbers on the blackboard. Below each number, a second studentwrites down how many times that number occurs in the...
- Q Bunker makes two types of briefcase, fabric and leather. Thecompany is currently using a traditional costing system with laborhours as the cost driver but is considering switching to anactivity-based costing...
- Q Let a and b be rational numbers. As always, prove your answers.(a) For which choices of a, b is there a rational number x suchthat ax = b? (b) For...
- Q Bisection search1. In MATLAB, implement a function that performs a bisectionsearch. It should take the following parameters:• F: A function (assumed to be continuous) whose roots you wantto find,• a:...
- Q Topology question:Prove that a bijection f : X → Y is a homeomorphism if and onlyif f and f−1 map closed sets to closed sets.
- Q Use induction to prove that 8^n - 3^n is divisible by 5 for allintegers n>=1.
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