Advance Math question and answers for July 30, 2023
- Q Determine whether there is an integer n > 1 such that there is aprojective plane of order n (i.e. with n + 1 points on each line)such that n ?=...
- Q The “divide and average” method, an old time method forapproximating the square root of any positive number a, can beformulated asx = (x + a/x) / 2Write a well-structured M-file...
- Q Intro to statistical inference questions! (I got two exams thatI need to focus on, so I need help with my homework. Please providedetail if you can, thank you so much!)1)...
- Q 1: Let X be the set of all orderedtriples of 0’s and 1’s. Show that X consists of 8 elementsand that a metric d on X can be defined by?x,y...
- Q You are developing primers for a wildlife forensic case and wantto identify both species and distinguish between individuals. a)For which type of analysis would you want to develop/use degenerateprimers? Why?...
- Q Because of new federal regulations on pollution, a chemicalplant introduced a new, more expensive process to supplement orreplace an older process used in the production of a particularchemical. The older...
- Q Determine which subsets are subspaces of M 2x2 (R) and proveyour answer.a. W = {A ? M 2x2 (R) | a12 = -a21}b. W = {A ? M 2X2 (R)...
- Q y = c1 cos(5x) + c2 sin(5x) is a two-parameter family ofsolutions of the second-order DE y'' + 25y = 0. If possible, find asolution of the differential equation that...
- Q Differential Equations1. Create a direction field for y 0 = y ? y 2 .(a) You should find any equilibrium solutions by hand and atleast a few other solutions. Feel...
- Q Using an induction proof technique, prove that the sum from i=1to n of (2i-1) equals n*n
- Q 2) Mark True or False for the following:The representation of a point is space, “r”, is a scalar. True___ False ___Parameter “t” is a three-dimensional vector. True ___ False___When representing...
- Q 8. Show that the set of integer numbers is countable (hint: finda one to one mapping with the set of natural numbers which iscountable by definition).
- Q Determine whether each statement is true or false. If it istrue, prove it. If it is false, give a counterexample.a) For every function f : X ? Y and all...
- Q Let R be a ring and f : M ?? N a morphism of left R-modules. Show that:c) K := {m ? M | f(m) = 0} satisfies the Universal...
- Q (1 point) A massweighing 4 lb4 lb stretches a spring 6 in.6 in.The mass is displaced 8 in8 in in the downward direction from itsequilibrium position and released with no...
- Q 3. Find the Fourier integral representation of each of thefollowing functions.f(x) = sin(x)/x
- Q A) Find Eigen values and Eigen vectors for the matrix below.A = ( 2 3 ; 1 5 ) this is a 2x2 matrix with 2 3 on the first...
- Q Write one a MATLAB function that implements the Bisectionmethod, Newton’s method and Secant Method (all in one function).Your function must have the following signaturefunction output = solve(f,options)% your code hereendwherethe...
- Q explain interest rate risk or maturity price risk faced by shortterm and long term investors in bonds using an example
- Q 1)Prove the conjecturesa) The sum of the measures of the n interior angles of anyn-gon is 180 degrees(n-2).b) For any polygon, the sum of the measures of a set ofexterior...
- Q Let M be the integer corresponding to the first letter of yourlast name. For example, if your last name begins with "A", M=1 andif your last name begins with "Z",...
- Q 1) Use dimensional analysis to find a relationshipbetween the force of the wind, F, on a car. You will also need thevelocity, v, the surface area of the car, A...
- Q Given a matrix that defines a reflection about a line, find anequation for this line.Given a matrix that defines an orthogonal projection onto aline, find an equation for this line.Could...
- Q How many ways can you distribute 1 piece of chocolate, 2licorice sticks, and 7 pixie sticks to 5 children so that eachchild has exactly 2 pieces of candy?
- Q A state legislator wishes to survey residents of her district tosee what proportion of the electorate is aware of her position onusing state funds to pay for abortions. (Round your...
- Q Suppose f maps a closed and bounded set D to the reals iscontinuous. Then the Uniform Continuity Theorem says f is uniformlycontinuous on D. To prove this, we will suppose...
- Q For my math class I am required to write an essay onthe following topic:Write an essay about the existence and uniqueness of asolution to an ODE( ordinary differential equation) ?I...
- Q Let G be a group. Consider the set G with a new operation ?given by a ? b = ba. Show that (G, ?) is a group isomorphic to theoriginal...
- Q T is a tree graph on 10 vertices, each is labled with an integerfrom 1-10. There are four leaves: 1, 2, 3, and 4.1. What is the number of possible...
- Q Use Euler method (as explained on the white board) to solvenumerically the following ODE:dy/dt=y+t. y(0)=1You can select the step size. Choose n=3. solve this by hand ona paper and with...
- Q Let f(x) = x - R/x and g(x) = Rx - 1/xa) Derive a Newton iteration formula for finding a root of f(x)that does not involve 1/xn. To which value...
- Q Reflect on the concept of polynomial and rational functions.What concepts (only the names) did you need to accommodate theseconcepts in your mind? What are the simplest polynomial andrational function you...
- Q a real sequence xn is defined inductively byx1 =1 and xn+1 = sqrt(xn +6) forevery n belongs to Na) prove by induction that xn is increasing andxn <3 for every...
- Q Solve the heat equation (in one dimensional case) for c^2=9, thefollowing boundary and initial conditions:u(0,t)=u(2Pie,t)=0u(x,0)=5sinx = 2sin5x
- Q Where QdBG is quantity demanded of boardgames. PBG is theprice of boardgames. PP is the average price of puzzles. M isaverage annual household income. Pop is the population. Ad is...
- Q Solve by reduction of orderxy" - xy' + y = 0
- Q describe through mathematics how the central concepts ofconvergence and continuity transform from the usual Euclideandistance on the real line, to the more abstract notion of distanceas given by a metric...
- Q Give a proof or counterexample, whichever is appropriate.1. NOT (?x, (P(x) OR Q(x) OR R(x))) is logically equivalent to?x, ((NOT P(x)) AND (NOT Q(x)) AND (NOT R(x))).2. NOT (?x, (P(x)...
- Q Answer with clear explanation.Find the irreducible factors of x6 ? 1 over R.b. Find all monic irreducible polynomials of degree ? 3 overZ3.c. Find a polynomial q(x) such that (x2...
- Q Use the Simplex method to solve the following LPminimize ?2x1 ?3x2 + x3 +12x4subject to ?2x1 ?9x2 + x3+9x4 + x5 = 01/3x1 + x2 ?1/3x3?2x4 + x6 = 0x1,x2,x3,x4,x5,x6?...
- Q To find a root of a polynomial equation, we can use an iterativeprocess.We start with an initial guess for the value of the root, x 0 ,plug it in to...
- Q Write Matlab programs implementing the algorithms based onbisection,Newton, and secant method for numerical solution ofscalar nonlinear equa-tions. Use these programs to computeapproximations to real roots of thefollowing equations:exp(x)?3x^2=0, (1)x^3=x^2+x+1, (2)exp(x)...
- Q Quiz 4A manufacturer makes and sales four types ofproducts: Product X, Product Y, Product Z, and ProductW. The resources needed to produce one unit of each product and thesales prices are given...
- Q By constructing a suitable bijection, show that the number ofsubsets of an n-set of odd size is equal to the number of subsetsof an n-set of even size.
- Q How could a function be defined everywhere but continuous atonly one point?
- Q How to determine whether the following statements about big-Onotation are true or false?(a) Let f(n) = ? n log n ? 4, then f(n) = O(n^ 2)(b) Let f(n) =...
- Q Quiz 4A manufacturer makes and sales four types ofproducts: Product X, Product Y, Product Z, and ProductW. The resources needed to produce one unit of each product and thesales prices are given...
- Q The number of hours worked by 24 employees of acompany is given below:40 43 40 39 36 44 40 39 39 52 27 5041 47 40 48 38 36 25...
- Q Find the straight line distance from Glassboro, nj to New Delhi,India. Use the assumptions given in Problem 75 of Section 12.7 (p.684). You must use spherical coordinates. You will need...
- Q Suppose Alice is using a block cipher to send the messageTHE ORDER IS KARL, ANDY, FRED AND IAN. IAN AND ANDY HAVE LEFT.to Bob. Assume thatthe block cipher is used...
- Q Reduce the following argument into an argument form, and thenperform the truth table test for validity. Create and label theentire truth table.If your program contains a syntax error or a...
- Q Find a particular solution of the given differential equation.Use a CAS as an aid in carrying out differentiations,simplifications, and algebra.y(4) + 2y'' + y = 11 cos(x) ? 12x sin(x)
- Q describe group homomorphisms from Q8 into Z8.
- Q ?????????????The value of a European put option must satisfy the followingrestriction:??0 ?????????? ???0where ??0 is the current put price, ??0 isthe current price of the underlying stock, ?? is the...
- Q The tarot minor arcana deck has 56 cards in four suits (swords,batons, coins, and cups), each having 10 numbered cards and 4 courtcards (king, queen, knight, and page). A “spread”...
- Q Rudin Ch 4, p. 99 #7. If E ? X and if f is a function defined onX, the restriction of f to E is the function g whose domain...
- Q Solve it stepby step and please with clear handwritten. Be ready to follow thecommentIntegrabilityTopicQuestion1. Let g : [0,1] —> R be defined by if x=0, g(x)=1;if x=m/n (m and n...
- Q Give 2 different examples of an infinite dimensional vectorspace and provide an explanation in possible.This is a review question for linear algebra and I am trying tobetter understand the concept.Thank...
- Q Solve the given differential equation by undeterminedcoefficients.y''' ? 3y'' + 3y' ? y = x ? 9^x
- Q Forthe following exercise, write 10 sentences of your own to showcause and effect using the words so and therefore.Example:She didn't study, therefore she coudn't pass theexam.
- Q problem 10 :Explain why ?xP(x) ? ?xQ(x) ? ?x(P(x) ? Q(x)). You need notformally prove it, but you should give a convincing explanation forwhy it is true?Use the fact established...
- Q Dr. Poh-Shen Loh advanced an alternative approach to solvingquadratic equations.Do a YouTube search of the method and state what does hisapproach consist of. (Provide Links to the YouTube Videoused).Do you...
- Q I want to estimate the interpolation error in [a,b] where f isinterpolated by polynomials at x_j, h=(b-a)/n, x_j=a+jh,j=0,1,...,n.I want the answers in detail especially for n=2,3.
- Q Of the following intervals, which includes the mostprime numbers?A. 20 and 30B. 30 and 40C. 40 and 50D. 50 and 60Please explain clearly. How do we even find primenumbers between...
- Q The Polynomial f(x) = X^3 - X^2 - X -1 has one real root a,which happens to be positive. This real number a satisfies thefollowing properties:- for i = 1,2,3,4,5,6,7,8,9,10,...
- Q Discuss the situation of a linear program that has one or morecolumns of the A matrix equal to zero. Consider both the case wherethe corresponding variables are required to be...
- Q Using only the rules of SD, derive the following rules ofSD+:a) Disjunctive Syllogism (one case) :P v Q~Pb) Commutation: (wedge only) :P v Q <--> Q v Pc) Implication :P...
- Q Consider the problem maximize Z = 5 x1 +3 x2 + 2 x3 + 4 x4 subjectto 5 x1 + x2 + x3 + 8 x4 = 10 2 x1 + 4 x2...
- Q Find the first four nonzero terms in a power series expansionabout x=0(x^2+9)y''+y=0
- Q Q. EXPLAIN COLLEY METHOD AND GIVE EXAMPLE?
- Q Consider the following linear operator: L u = d^2u/dx^2+ 2 du/dx+ u.Consider the eigenvalue problem L u + ?u = 0, x ? (0, ?), u(0) =0, u(?) = 0.(a)...
- Q Construct a ring isomorphism Z2 ?Z3 ? End(Z2 ?Z3)
- Q The downtime per day for a computing facility has mean 4 hoursand standard deviation 0.9 hour. (a) Suppose that we want tocompute probabilities about the average daily downtime for a...
- Q For each of the following problems show the fully augmentedproblem and simplex table solution, Also, show which extreme pointsare feasible and identify the optimal solution.a) Maximize 12?$ + 18?' subject...
- Q Show that the sequence an = (?1)^n doesn’t converge to 1 nor ?1.Can it converge to anything other than 1 and ?1?
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