Advance Math question and answers for August 23, 2023
- Q Question 1Consider the following two Diophantine equations with integervariables X and Y(1) 99 X + 225 Y = 36(2) 225 X + 99 Y = 33(a) Determine which of these...
- Q Brady is a figure skater. He finds a few of the jumps he does tobe difficult, but the rest are easy for him. He must include fourjumps in his routine....
- Q Let X = {1, 2, 3, 4}, Y = {a, b, c}.(1) Give an example for f : X ? Y so that ?y ? Y, ?x ? X, f(x)...
- Q An amount of $200,000 is borrowed for 5 years at a rate of 12%.Make an amortization schedule showing the quarterly payment, thequarterly interest on the outstanding balance, the portion of...
- Q Find a particular solution to the differential equation: y'' -1y' - 20y = -400t^3
- Q The following has been received as a result of bids.17. An RFP was issued for business training in an officeenvironment. As a result, seven proposals were received. Thesubsequent rated and...
- Q Show that every cauchy sequence of reals is convergent
- Q Using only membership tables (i.e., without Venn diagrams or setidentities), prove or disprove that (? ? ?) ? (? ? ?) and ((? ? ??)? ?) ? (? ? ??)...
- Q 1. A wholesale company has nine storage depots which itproposes to rationalize. Four depots, Q, R, S, and T are to beexpanded and five depots, A, B, C, D, and...
- Q h Consider a solid T enclosed by the paraboloid z = x^2 +y^2 andthe plane z = 4 (the solid above the paraboloid and below theplane). Let M the (closed)...
- Q Given ( x + 2 )y" + xy' + y = 0 ; x0 = -1
- Q f(x) = (x^2 )0 < x < 1, (2?x), 1 < x < 2A) Solve this integral, writing An as an expression in terms ofn. Write down thevalues of A1,A2,A3,A4,A5...
- Q a) Verify that y1 and y2 are fundamental solutions of the givenhomogenous second-order linear differential equationb) find the general solution for the given differentialequationc) find a particular solution that satisfies...
- Q Expand in Fourier series:f(x) = x|x|, -L<x<L, L>0f(x) = cosx(sinx)^2 , -pi<x<pif(x) = (sinx)^3, -pi<x<pi
- Q NOTE- If it is true, you need to prove it and If it is false,give a counterexamplef : [a, b] ? R is continuous and in the open interval (a,b)differentiable.a)...
- Q Wewill say that function f(x) is Lipschitz continue on closerdintervsl [a,b] if exists constant K > 0 such yhst | f(x) - f(y)| < or equal to K|x-y|. prove that...
- Q A. Find all the solutions for the congruence ax ? d(mod b) a=123, b=456, d=3
- Q A=10-7701002-210-72-221Diagonalize the matrix above. That is, find matrix D and anonsingular matrix P such that A = PDP-1 . Use therepresentation to find the entries of An as a functionof...
- Q For each given integer n, determine if n is a sum of twosquares. (You do not have to ?nd the squares.)(a) n = 19 (b) n = 45 (c) n...
- Q Work out the distance of the point [1, 0, 0, 0] from thesubspace W = ker T, where T : R 4 ? R 2 is the linear map withmatrix...
- Q 7. Reduce the following expressions mod 10. No calculators!Efficiency matters. a)1212345670 ? 189000076548906789 ? 1234501 ?12345678917 b) 123456789 + 987654321 + 22222222222222 + 8679
- Q a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0b) Solve using variation of parameters: y" -9y = x/e^3x
- Q NUMBER THEORY QUESTION:Find the partition of {1, 2, . . . , 16} determined by thedynamics of(a) addition of 2, modulo 16.(b) addition of 4, modulo 16(c) multiplication by 2,...
- Q Takashi's family is a family of five of his parents, olderbrother, Takashi and younger brother. Currently, Takashi is halfthe age of his brother and his brother is half his age....
- Q UseLP Formulation to find the best alternative to the situation below.“Show & Sell” can advertise its products on local radio ortelevision (TV). The advertisement budget is limited to $10,000 amonth....
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