Advance Math question and answers for August 19, 2023
- Q Students in a gym class have a choice of swimming or playingbasketball each day. Thirty percent of the students who swim oneday will swim the next day. Sixty percent of...
- Q Use the following Venn diagram tools to construct diagrams thatrepresent the given syllogistic forms from the Boolean standpoint.Once you have constructed your diagrams, interpret them todetermine whether each syllogistic form...
- Q In Taylor and fourier series, ,point out the range where theexpansion provides a “good” approximation and please explainwhy.
- Q a) ? 2 ? ? = 49 b) ? 2 + ? ? ? 2 = 49 c) ? 2 + ? 2 ? ? 2 = 49 d)? 2...
- Q Solve the following initial value problem:y'''-4y''+20y'=-102e^3x, y(0)=3, y'(0)=-2, y''(0)=-2
- Q Find the first five nonzero terms in the solution of the giveninitial value problem.y??+xy?+2y=0, y(0)=8, y?(0)=9
- Q Show an example of a system which is a quasigroup butnot agroup.Please provide explanation.
- Q -for the transition matrix P= 0.8 0.2 0.0 , solve the equationSP=S to find the stationary matrix S and the limiting matrix P.0.5 0.1 0.40.0 0.6 0.4
- Q Provide an example of a proof by mathematical induction.Indicate whether the proof uses weak induction or strong induction.Clearly state the inductive hypothesis. Provide a justification ateach step of the proof...
- Q Consider the following statements,[ 0 , 1 ] × [ 0 , 1 ] with the dictionary order iscomplete.[ 0 , 1 ] × [ 0 , 1 ) with...
- Q Adrian invested $1,600 at the beginning of every 6 months in anRRSP for 11 years. For the first 7 years it earned interest at arate of 4.50% compounded semi-annually and...
- Q If an undamped spring-mass system with a mass that weighs 24 lband a spring constant 9 lbin is suddenly set in motion at t=0 by anexternal force of 180cos(8t) lb,...
- Q 1.Suppose n and k are two positive integers. Pick a uniformlyrandom lattice path from (0, 0) to (n, k). What is the probabilitythat the first step is ‘up’?
- Q Let x, y be integers, and n be a natural number. Prove that x^(2n) ? y ^(2n) is divisible by x + y
- Q 1. Explain/Define the classical experiment in terms of thefollowing (provide references): Independent and dependentvariables Pre-testing and Post-testing Experimental and Control groups
- Q Write a MATLAB code for the conjugate gradient method and apply itto solve the system Hx = b, where H is the n×n Hilbert matrix, andb is A times the...
- Q 1. Let G be a k-regular bipartite graph. Use Corollary3.1.13 to prove that G can be decomposed into r-factorsiff r divides k.
- Q y' = 2 + t^2 + y^2 0<t<1 y(0)=0use the euler method to determine step size (h) to keep globaltruncation error below .0001
- Q Solve: x2y’’ - 7xy’ + 15y = 4x6
- Q Prove that a projection Pe(x) is a linear operator on a Hilbertspace, ,H and the norm of projection Pe(x) =1 except for trivialcase when e = {0}.
- Q Describe various spaces associated with an m × n matrix A, suchas null space, row space. column space and eigenspace. What are therelationships among them? How does the concept of...
- Q Let 2a > -1, If the area of the region of the plane definedby {(x,y) : x ? 0, 2y-x ? 0, ax+y-3 ? 0} is equal to 3, then...
- Q 17. Integrate the function sin(x) from 0 to ? using Riemann andSimpson integration methods with N subintervals, where N increasesby factors of 2 from 2 to 256 (i.e. N =...
- Q A telephone sales force can model its contact with customers asa Markov chain. The six states of the chain are as follows:State 1 Sale completed during most recent callState 2...
- Q Prove by induction that it follows from Fundamental Theorem of Algebra that every f(x) ? C[x] can be written into a product of linear polynomials in C[x].
- Q Discrete math1) Using MatLab (any language is fine just saywhat language is used).function d=lemma_gcd(a,b)%This program will return the greatest common divisor for inputvariables a%and b where a and b are...
- Q list as many of the parts of fundamental theorem of linear algebraas you can. An nxn matrix A is invertible if and only if ....
- Q Find y as a function of x ify????11y??+30y?=0y(0)=7, y?(0)=9, y??(0)=4.
- Q Find all homomorphism(1) f : z -> z_5(2) f: z_5 -> z_5(3) f: z_3 -> S_3
- Q Can someone explain Bessel's Equations in Layman's terms
- Q If a function f(x) is odd about a point, say (a,0), on thex-axis what exactly does this mean? How would you relate f(x valuesto left of a) to f(x values...
- Q Find a Formula for the degree 2 Taylor polynomialT2(x,y) at (a,b)=(pi/2,0). Do not simplify your formula.Use a 3d graphing tool to verify T2(x,y) does a good job ofapproximating f(x,y) near...
- Q This problem is about the definition of periodic function. Weassume you already know intuitively what periodic means, and now wewant a formal definition. For simplicity, we will restrictourselves to functions...
- Q Will Rogers spun a lasso in a vertical circle. The diameter ofthe loop was 6 ft, and the loop spun 50 times each minutes. If thelowest point on the rope...
- Q For the following functions are they concave or convex and whatdoes that depend on? If the answer is possibly both, over whatranges are the functions convex or concave?(a) Y =...
- Q 1. For both systems below form the augmented matrix, reducethe augmented matrix to echelon form(zeros below the diagonal), and give the solution to thesystem.(a) x – 2y + z =...
- Q Question 3Briefly discuss the implications of the Capital Asset PricingModel for the relationship between the current spot price of anasset and the discount offered by the seller of a futures...
- Q What is the function and argument to calculate the sum of thevalues in the range D1:D50 for which in the adjacent value in therange A1:A50 equals “Senior” and the adjacent...
- Q Research one of the fields below. a description of what the fieldis, i.e. what topics it covers, some of the questions that it triesto answer and the ways in which...
- Q Exercise 3Part 1. Solving a system Ax = b **Create a function in MATLAB thatbegins with: function [C,N]=solvesys(A) [~,n]=size(A);b=fix(10*rand(n,1)) format long We are using format long to displaya number in...
- Q Prove that Kruskal’s algorithm finds a minimum weight spanningtree.
- Q 5. For each set below, say whether it is finite,countably infinite, or uncountable. Justify your answer in eachcase, giving a brief reason rather than an actualproof.a. The points along the...
- Q howdo you use the law of cosines to calculate the angles for like rooftrussesprovide an example
- Q The standard technique for determining cardiac output is theindicator dilution method developed by Hamilton. One end of a smallcatheter is inserted in the radial artery and the other end isconnected...
- Q Show that is [(n^2) + 2] and [(n^2) - 2] are both primes, then 3divides n
- Q a) Determine the correct form of the particular solution y" + y = sin xb) Solve IVP: y" + y = e^x + x^3; y(0) = 2, y'(0) = 0c) Solve...
- Q Assume tat the following permutations written in cycle notationare defined on 4 objects, Compute the following compositions:a. (123)(45)b. (2345)(12)c, (124)(253)d. (25)(23)(24)e. (35)(123)(125)f. (12)(23)(35)(145)
- Q A 12 cm by 25 cm by 36 cm box of cereal is lying on the floor onone of its 25 cm by 36 cm faces. An ant, located at...
- Q Kirchhoff’s voltage law states that the sum of the voltage dropsacross a resistor, R, an inductor, L, and a capacitor, C, in anelectrical circuit must be the same as the...
- Q Using the pigeonhole theorem prove that any set of 22010-character strings over the alphabet {a,b,c,d} contains a pair ofanagrams.
- Q (1 point) Use the method of undetermined coefficients to find asolution ofy???16y?+144y=48e8tcos(9t)+48e8tsin(9t)+5e0tUse a and b for the constants of integration associated with thehomogeneous solution. Use a as the constant in...
- Q Your Christmas ski vacation was great, but it unfortunately rana bit over budget. All is not lost, because you just received anoffer in the mail to transfer your $12,600 balance...
- Q (1)Prove that for every a, b ? R, |a + b| = |a| + |b| ?? ab ? 0.Hint: Write |a + b| 2 = (|a| + |b|) 2 and...
- Q Show that a point x is an accumulation point of a set E if andonly if for every ? > 0 there are at least two points belongingto the set...
- Q A binary string is a “word” in which each “letter” can only be 0or 1Prove that there are 2^n different binary strings of lengthn.Note:Your goal is to produce a properly...
- Q Helen purchased a house for $450,000. She made a downpayment of15% of the value of the house and received a mortgage for the restof the amount at 5.50% compounded semi-annually...
- Q Hampton Commission on the Arts (HCA) is planning on advertisingits upcoming events. A local newspaper claims that the ads on thepaper can reach 27,000 art lovers, and it costs the...
- Q (a) Luis Mahla purchases a Porsche Boxster for $49,700 andfinances the entire amount at an annual interest rate of 6.3% for 8years. Find the monthly payment. Assume the sales tax...
- Q At the beginning of each football season, the coaching staff atVista High School must vote to decide which players to select forthe team. They use the weighted voting system {7:...
- Q Let D(x, y) be the predicate defined on natural numbers x and yas follows: D(x, y) is true whenever y divides x, otherwise it isfalse. Additionally, D(x, 0) is false...
- Q B = {red,red,green,purple}C ={red,{green},red,{red,green},purple,{green,green,red,purple}}A.) What is the power set of C?B.) Is B ? P(C)?
- Q Draw bifurication diagram of:(x^2-a)(x^2-4)
- Q If v is an eigenvector for a matrix A, canv be associated with two differenteigenvalues? Prove your answer.
- Q A square matrix A is said to be symmetric if its transposeAT satisfies AT= A, and acomplex-valued square matrix A is said to be Hermitian if itsconjugate transpose AH =(A)T...
- Q Prove that the Jacobi method converges for strictlycolumn-diagonally dominant matrices.
- Q Let p= 11 and 13. (a) Determine all the squares modulo p in(Z/pZ)?. (b) Using this determine the value of the Legendresymbol(a/p)for all a?(Z/pZ)?. (c) For all a?(Z/pZ)?, computea^((p?1)/2) and...
- Q 4. Show that the set A = {fm,b : R ? R | m does notequal 0 and fm,b(x) = mx + b, m, b ? R} forms a groupunder...
- Q 1) Who were the key stakeholders involved in, or affected by,the collapse of Enron?2) Identify the principles and recommendations of ASX ListingRules that relates to the independence requirements of the...
- Q Define the groupings of related products. (The columns in yourgrid)Again your company name is hello winter and is about sellinggloves. It should follow last question that was ask.
- Q We saw in class that each LP can be transformed into anequivalent LP in any of the following two forms below: (1) maxcTx:Ax=b, x?0 (2) maxcTx: Ax?b. Can we always...
- Q Two chemicals A and B are combined to form a chemical C. Therate of the reaction is proportional to the product of theinstantaneous amounts of A and B not converted...
- Q Let x, y, z be (non-zero) vectors and suppose w = 12x + 18y +4zIf z = ? 2x ? 3y, then w = 4x + 6yUsing the calculation above,...
- Q Given x = [0, 0.05, 0.1, 0.15, 0.20, ... , 0.95, 1] and f(x) =[1, 1.0053, 1.0212, 1.0475, 1.0841, 1.1308, 1.1873, 1.2532, 1.3282,1.4117, 1.5033, 1.6023, 1.7083, 1.8205, 1.9382, 2.0607, 2.1873,2.3172,...
- Q Determine the edge-connectivity of the petersen graph
- Q Compute the first partial derivatives ofh(x,y,z)=(1+9x+4y)^z
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