Advance Math question and answers for September 01, 2023
- Q If you prove by strong induction a statement ofthe form ? n ? 1P(n), the inductive step proves the followingimplications (multiple correct answers are possible):a) (P(1) ? P(2)) => P(3)b)...
- Q To make a phrase/words, solve the 18 application of derivativesbelow. Then replace each numbered blank with the lettercorresponding to the answer for that problem. Show allsolutions on the answers given below." __...
- Q Let F(x, y, z) = z tan^?1(y^2)i + z^3 ln(x^2 + 7)j + zk. Findthe flux of F across S, the part of the paraboloid x2 + y2 + z...
- Q 1. Let A be an inductive subset of R. Prove that {1} ? {x + 1 |x ? A} is inductive.2. (a) Let n ? N(Natural number) and suppose that...
- Q Sketch the graph, shade the region and set up the integral andDO NOT EVALUATE.8.Find the area A of the region bounded by the line y = x^2 andy= x is...
- Q Prove rigid motions are:a. continuousb. one-to-onec. closed under composition
- Q a. Use mathematical induction to prove that for any positiveinteger ?, 3 divide ?^3 + 2?(leaving no remainder).Hint: you may want to use the formula: (? + ?)^3= ?^3 +...
- Q Propose two of your own random number generation schemes. Pleasegenerate 100 random numbers ?? (? = 1,2, … ,100) for each schemeand show the results on the same plot for...
- Q MatLab code for Bisection and Newton Method to find root forf(k) = p(k)^3+2*(p(k)^2)-10 on interval [-1,2]. P(o)=1.5,P(1)=2.Answer=1.654249
- Q Consider the formulaA : ?x.[(?y.P(x, y) ? R(x)) ? ¬?z.Q(x, z)](a) Find a formula equivalent to A that only has negationsymbols in front of basic formulas.(b) Give an example of...
- Q fx to fx-k define wrt graph shift and show it for 1/xto 1/x-1 along with domain and range...
- Q For the differential equation dy/dx=sqrt(y^2?36) does theexistence/uniqueness theorem guarantee that there is a solution tothis equation through the point1. (1,6)2. (4,42)3. (?2,38)4. (7,?6)
- Q Construct the truth-table for the following propositionalformulas. In each case, explain whether the formula is a tautology,a contradiction, or neither. (Explain how you arrive at thisconclusion.) (a) ¬((p ? ¬p)...
- Q Prove using induction:If F is any field and f(x)=p1(x)p2(x)...pn(x) is a nonconstantpolynomaial of the field, f an element of F, and p1,...,pn areirreducible factors of the field.Then, there exists a...
- Q Find the Upper and Lower Darboux sums for thefollowing functions.(i) f(x) = ?x ? 1 on [0, 3], n = 3. [10](ii) f(x) = 1 + 2x 0n [0, 1]...
- Q Find the Upper and Lower Darboux sums for thefollowing functions.(i) f(x) = ?x ? 1 on [0, 3], n = 3. [10](ii) f(x) = 1 + 2x 0n [0, 1]...
- Q Use Newton-Raphson to find the real root to five significantfigures 64x^3+6x^2+12-1=0
- Q This problem is also a Monte Carlo simulation, but this time inthe continuous domain: must use the following fact: a circleinscribed in a unit squarehas as radius of 0.5 and...
- Q Prove that x^8 - 14x^4 + 25 is irreducible
- Q Define a function from N to Z that is both one to oneand onto. Explain why it is a bijection?Find a function from Q to Z that is one toone.Please...
- Q Howcan I create a matrix to show 3 economic trends of healthcarepayment system. Second identify ethics and compliance issuesassociated with those trends.
- Q Find the set of ALL optimal solutions to the following LP: minz= 3x1?2x2 subject to 3x1+x2?12 3x1?2x2?x3= 12 x1?2 x1, x2,x3?0
- Q Analysis Integral confused concept. Please clear writingand follow the comment1. upper sum with respect to P is U(f,P)= sum ofMk(xk-xk-1).Does that equal to U(f)=inf{u(f,P): p is a element of Q}...
- Q (a) Find a 3×3 matrix A such that 0 is the only eigenvalue of A,and the space of eigenvectors of 0 has dimension 1. (Hint: uppertriangular matrices are your friend!)(b)...
- Q Show that the Legendre polynomials P1 and P2 are orthogonal byexplicit integration. Also show that when (P2)^ 2 is integratedover the full range of integration, the result is 2 /(2l+1)...
- Q (a) Find all positive values of ? for which the followingboundary value problem has a nonzero solution. What are thecorresponding eigenfunctions? X?? + 4X? + (? + 4) X =...
- Q How could I mathematically prove these statements?1. The sum of the first n positive odd numbers is square.2. Two positive numbers have the same set of common divisors asdo the...
- Q a) Let ? = (1 2 3 4 5 6) ? S6, find the cycle decomposition of ?i for i = 1, 2, . . . , 6.(b) Let ?1,...
- Q Prove that for an nth order differential equation whoseauxiliary equation has a repeated complex root a+bi of multiplicityk then its conjugate is also a root of multiplicity k and that...
- Q A circuit consisting of a resistor, capacitor and power supplyis called an RC circuit. Physics and Kirchoff’s laws imply that ifQ is the charge on the capacitor, R is the...
- Q Suppose (X, dX) and (Y, dY ) are metric spaces. Define d : (X ×Y)×(X × Y ) ? R by d((x, y),(a, b)) = dX(x, a) + dY (y,...
- Q Determine if each of the following sets of vectors U is asubspace of the specified vector space, and if so, describe the setgeometrically:(a) U ? R2, where U = {?x1,x2?...
- Q ScenarioOffice Equipment, Inc. (OEI) leases automatic mailing machinesto business customers in Fort Wayne, Indiana. The company built itssuccess on a reputation of providing timely maintenance and repairservice. Each OEI service...
- Q Study these definitions and prove or disprove the claims. (Inall cases, n ? N.)Definition. f(n)??ifforanyC>0,thereisnCsuchthatforalln?nC,f(n)?C.Definition.f(n)?aifforany?>0,thereisn? suchthatforalln?n?,|f(n)?a|??.(a) f(n)=(2n2 +3)/(n+1). (i)f(n)??. (ii)f(n)?1. (iii)f(n)?2.(b) f(n)=(n+3)/(n+1). (i)f(n)??. (ii)f(n)?1. (iii)f(n)?2.(c) f(n) = nsin2(1n?). (i) f(n)...
- Q find the bessel function J-7/2(X) in term of sinx,cosx, and powers of x
- Q 1)Calculate the monthly payments on a home loan for $200,000 ar anAPR of 5.1% if the loan is for 30 years.Suppose you are able to refinance your loan after 10...
- Q Prove That For All Natural Numbers A > 1 And B > 1, If ADivides B Then A Does Not Divide B+1 (prove by contradiction)
- Q Consider the following linear program. Maximize z= 5x1+ 3x2subject to 3x1+ 5x2?155x1+ 2x2?10– x1+ x2?2x2?2.5x1?0, x2?0a. Show the equality form of the model.b. Sketch the graph of the feasible region...
- Q (a) Briefly describe what is meant by the wordcryptography.(b) Briefly describe the Vigenere cipher,including a discussion of the encryption and decryptionprocesses.(c) Describe what is meant by a ‘FeistelCipher’.(d) DES includes...
- Q this is Discrete mathematics problem.Translate the following English sentences intopropositional formulas. Remember todef ne your atomic propositions!(a) Either the suspect wore gloves, or he didn't touch thedoorknob.(b) I will eat...
- Q Thread 1: Why do you think that women arestill continued to be viewed as objects in most, if not all, media?Has this situation changed much from the past to present...
- Q 1. You are a salesperson for Bottoms Up Beverage Company and areintroducing a new bottled water product called Fresh-is-BestSweetwater, sourced from the natural springs of the Great Lakesnear Flint, Michigan....
- Q Let G = Z x Z and H = {(a, b) in Z x Z | 8 divides a+b}a. Prove directly that H is a normal subgroup in G (use...
- Q Prove A (bar on top of A)= collection of all adherence pts of Awhere A <=X and (X,d) is a metric space
- Q The Stone Company produces three sizesof window fans: small, medium and large. The operations manager hasformulated the following LP model for fan production:Maximize Profit ZZ = 6×1 + 8×2 +...
- Q Given two sets A,B prove A<---> B either using thedefinition of the schroeder-bernstein theorem
- Q will rate :-)A mass weighing 8 pounds stretches a spring 2 feet. At t=0 the massis released from a point 2 feet above the equilibrium position witha downward velocity of...
- Q Multiply out to get SOP of 3 terms each of 3 variables.?(B + C’ + D’) (A’ + B + C) (A’ + C’ + D) (A’ + C) (C...
- Q Consider a system with the input/output relationship y(t) =x(t)cos(15?t).(a) Is this system (i) linear, (ii) causal, (iii) stable, (iv)memoryless, (v) time-invariant, and (vi) invertible. Justify eachanswer with a clear mathematical...
- Q A fluid flow is defined by u = (0.4x2 + 2t) m/s and v = (0.8x +2y) m/s, where x and y are in meters and t is in seconds.Part...
- Q Set up a spreadsheet that implements the secant method and thensolves each of the problems. Use the graph of each function toselect an initial guess. Recall the iteration formula for...
- Q TAM and its value and should we expect the use of mathematicalmodels to hopefully provide more data/science-basedjustification?
- Q A bipartite graph is drawn on a channel if the vertices of onepartite set are placed on one line in the plane (in some order) andthe vertices of the other...
- Q CLIQUEINPUT: Graph G, positive integer lPROPERTY: G has a set of l manually adjacent nodes.CLIQUE COVERINPUT: graph G’, positive integer kPROPERTY: N’ is the union of k or fewer cliques.So,...
- Q Let y?=y(4?ty) and y(0)=0.85.Use Euler's method to find approximate values of the solution ofthe given initial value problem at t=0.5,1,1.5,2,2.5, and 3 withh=0.05.Carry out all calculations exactly and round the...
- Q Show that at least four of any 37 days must fall in the samemonth of the year
- Q prove that sign p=sign ^-p (if p is a permutation).
- Q A recent 10-year study conducted by a research team at theMedical School was conducted to assess how age, blood pressure, andsmoking relate to the risk of strokes. Assume that the...
- Q III. Use Table to generate a list of ordered pairs (x,sin x) forx=0, [Pi]/12, 2[Pi]/12, 3[Pi]/12, ..., 2[Pi]. You should end upwith a list of lists. Then do it again...
- Q A brine solution of salt flows at a constant rate of 4 ?L/mininto a large tank that initially held 100 L of pure water. Thesolution inside the tank is kept...
- Q Solve h(x) =l -2x lSolve y = 2 (x + 4)2 - 3Please explain for each of the above provide examples · writedown five (5) points on the graph of...
- Q Use a direct proof to prove that 6 divides(n^3)-n whenever n is a non-negative integer.
- Q P.0.2 Show that (a) the diagonal entries of a Hermitianmatrix are real; (b) the diagonal entries of a skew-Hermitianmatrix purely imaginary; c) the diagonal entries of askew-symmetric matrix are zero.P.0.5...
- Q Show that if S is bounded above and below, then there exists anumber N > 0 for which - N < or equal to x < or equal to Nif...
- Q Napoleon is contemplating four institutions of higher learningas options for a Master’s in Business Administration. Eachuniversity has strong and weak points and the demand for MBAgraduates is uncertain. The availability...
- Q 7.Prove that the folowing is a valid argument, explaining eachrule of inference used to arrive at the conclusion.“I take the bus or I walk. If I walk I get tired....
- Q 4(a). Find the equation y = ax + b of the line passing through(2,3) and (5,8). (Your answer should be an equation of the form y =ax + b, for...
- Q Plot the function without using a calculator, as you will nothave a calculator on the exams.a. ? = 34 sin ?, from t = 0 to the end of the...
- Q .1. a.) By inspection, find a particular solution of 2??? ? 5?= 13b.) By inspection, find a particular solution of2????5?= ?27?c.) Find a particular solution of2????5?= ?27?+13d.) Find a particular...
- Q Prove that for an integer k, k2 + 4k + 6 is odd ifand only if k is odd.
- Q A supplier of gasoline is considering whether to build a newstation. The annual returns will depend on both the size of thestation and marketing factors such as the oil industry...
- Q Prove that {??+?:?,???} is dense in ? if and onlyif r is an irrational number.
- Q Find the general form of all (integer) solutions for theequation 22x+48y+4z = 18.
- Q Molson currently sells 41 different brands of beer in Canada.Labatt currently sells 17 different brands.The manager at Mike's Place needs to choose 5 Molson brands and5 Labatt brands to sell....
- Q Let A be a subset of the integers. (a) Write a carefuldefinition (using quantifiers) for the term smallest element of A.(b) Let E be the set of even integers; that...
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