Advance Math question and answers for July 11, 2023
- Q Work out the products of the matrices E, R, R^2,R^3, A, B, C,D,and verify that these products reproduce the multiplication tablefor thesymmetries of the square, as expected. (Instead of computing...
- Q Taking a seminar in applied mathematics means doing amathematical model. now its time to reflect on the work. Need helpwriting a:Self-Assessment of Progress: Outline the workyou still have to complete...
- Q Real Analysis Conception Question1. Lemma: if P is a subset of Q, then L(f,p)<=L(f,Q) andU(f,P)>=U(f,Q)why??? for P is a subset of Q, however, why the upper sum ofU(f,P) is even...
- Q What is the number of ways to distribute 12 identical balls in 8different urns, so that two of the urns will contain together atleast 10 balls?
- Q Problem 2. Suppose that R is a commutative ring, and thatR[X] := { (a_0, a_1, a_2, ...)^T | a_i is in R, a_i not equal to0 for only finitely many...
- Q Problem 1. Suppose that R is a commutative ring with addition“+†andmultiplication “·â€, and that I a subset of R is an ideal in R. Inother words, supposethat I is...
- Q . An automobile company is ready to introduce a new line ofhybrid cars through a national sales campaign. After test marketingthe line in a carefully selected city, the marketing researchdepartment...
- Q What is the order and type of the ff PDE's.1.(1+X^2)Uxxyy-2xy^3Uxyyy+(1+u^2)UYY=02.(1+U^2)Uxx-2U^2Uxy+(1+u^2)UYY=03.(1+X^2Y)Uxx-2UXUyUxy+(1+u^2X)UYY=0
- Q The least common multiple of nonzero integers a and b is thesmallest positive integer m such that a|m and b|m. It is denoted[a, b], or sometimes [a, b] for short....
- Q Discuss modern mathematical theories such as dynamicalsystems theory, chaos theory, hyperbolic geometry, fractalgeometry, spherical geometry.
- Q let R be a ring; X a non-empty set and (F(X, R), +, *) the ringof the functions from X to R. Show directly the associativity ofthe multiplication of F(X,...
- Q Discuss the ideas of any three of the following:GaloisBolzanoWeierstrassLeibnizLambertBoyleHilbertBrouwerFeynmanGödelTouring
- Q 6. For many applications of matchings, it makes sense to usebipartite graphs. You might wonder, however, whether there is a wayto find matchings in graphs in general.For which n does...
- Q Frank, Sofia, Eldridge, and Jake are the four qualifiers for acharity raffle with two $500 prizes. One of their names will bedrawn for the first prize then replaced, at which...
- Q Solve the following differential equation, using laplacetransforms:y''+ty-y=0wherey(0)=0andy'(0)=3
- Q Prove using the principle of mathematical induction:(i) The number of diagonals of a convex polygon with n verticesis n(n − 3)/2, for n ≥ 4,(ii) 2n < n! for all...
- Q This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestockproducts, (2) other agricultural products, (3) forestry and fisheryproducts, and (4) agricultural, forestry, and...
- Q In a (2, 5) Shamir secret sharing scheme with modulus 19, two ofthe shares are (0, 11) and (1, 8). Another share is (5, k), but thevalue of k is...
- Q Solve the LP problem. If no optimal solution exists becausethere is no Solution Set, enter EMPTY. If no optimal solutionexists because the region is unbounded, enter UNBOUNDED.Note that an unbounded...
- Q Distribute 13 indistinguishable balls in 6 distinguishable urns.What is the number of distributions in which the first three cellscontain together AT LEAST 10 balls?What would be the answer if the...
- Q Prove the following: theorem: every topological group iscompletely regular. Proof. Let V0 be a neighborhood of the identityelemetn e, in the topological group G. In general, coose Vn to be...
- Q Prove or disprove each of the following statements.(a) There exists a prime number x such that x + 16 and x + 32are also prime numbers.(b) ∀a, b, c, m...
- Q Let A ⊆ C be infinite and denote by A' the set of all the limitpoints of A.Prove that if z ∈ A' then there is a non-trivial sequence ofelements...
- Q Let A be an m × n matrix and B be an m × p matrix. Let C =[A |B] be an m×(n + p) matrix.(a) Show that R(C) =...
- Q Consider the following linear program:   MAX Z = 25A + 30B   s.t. 12A + 15B ≤ 300   8A + 7B ≤ 168  10A + 14B ≤ 280   Solve this linear program graphically anddetermine the optimal...
- Q Hello,In your own words, please if you were to these topicsCounted systems and integersFractions, decimals and percentagesPowers and laws of indicesCounting using the product rulewhat kind of difficulties you might...
- Q Contradiction proof conceptionProve: If A is true, then B is trueContradiction: If A is true, then B is false.so we suppose B is false and follow the step to prove....
- Q How can I do a chi square hypothesis test whether theprovided data follows f-distribution?I need to know how to set up the hypothesis test and how to checkif the data...
- Q Ordinary Differential Equations, Tenenbaum & Pollard,Exercise 15A, Problem 12:The CO2 content of the air in a 7200-cu-ft room is 0.2 percent.What volume of fresh air containing 0.05 percent CO2 must...
- Q A spherical storage tank contains oil. The tank has a diameterof 6 feet. You are asked to calculate the height at which an8-foot-long dipstick would be wet with oil when...
- Q the following differential equation determine using the methodof undetermined coefficients y''-4y'=8x^4+x^2e^-4x+sin3x
- Q Discuss the basic questions that must be addressed in a samplingstudy. [6 Marks]
- Q Let x(t) ∈ [0, 1] be the fraction of maximum capacity of alive-music venue at time t (in hours) after the door opens. Therate at which people go into the...
- Q Your niece is visiting you, and you are serving herice cream in a conical glass (conical shape whose bottom is the tipof the cone). The diameter of the opening is...
- Q Describe a personal scenario in which matrices can be usedeffectively, then explain the benefits as well as the drawbacks tothis type of application.
- Q Let A be a 2 x 2 matric with Schur decomposition UTUHand suppose that t12≠0. Show that(a) the eigenvalues of A are λ1 = t11 andλ2 = t22.(b) u1...
- Q Prove the following theorem. If n is a positive integer suchthat n ≡ 2 (mod 4) or n ≡ 3 (mod 4), then n is not a perfectsquare.
- Q Conception of the Integral and convergence of the function1. We know that if fn—->f is (point-wise or uniformly)andevery fn in the interval is Riemann integral, then will fbe Riemann integrableon...
- Q Problem 4. Suppose that A ⊂R satisfies m1(A) = 0, wherem1 denotes the one-dimensional Lebesquemeasure. Suppose f : R →R2 satisfies|f(x) − f(y)| ≤ (|x − y|)1/2, forevery x, y...
- Q Problem 16-03Grear Tire Company has produced a new tire with an estimatedmean lifetime mileage of 36,500 miles. Management also believesthat the standard deviation is 5000 miles and that tire mileage...
- Q Determine where each of the following function from R to R isdifferentiable and find the derivative function: a) f(x) =| x | b)g(x) = x | x | c) h(x)...
- Q Problem 16-09The Iowa Energy are scheduled to play against the Maine RedClaws in an upcoming game in the National Basketball AssociationDevelopmental League (NBA-DL). Because a player in the NBA-DL isstill...
- Q Problem 16-13 (Algorithmic)The wedding date for a couple is quickly approaching, and thewedding planner must provide the caterer an estimate of how manypeople will attend the reception so that the...
- Q Let a and b be non-parallel vectors (algebraically a1b2 −a2b1 /=0). For a vector c there are unique λ, µ real numbers such that c =λ· a+µ·b. proof?
- Q A SIS disease spreads through a population of size K = 30, 000individuals. The average time of recovery is 10 days and theinfectious contact rate is 0.2 × 10^(−4) individuals^(−1)...
- Q solve step by step using power series solution, aboutx = -1, 4 (x+1)^2 y'' - 2(x+1)(x+3)y' + (x+4) y =0
- Q Offer one example of an IT or computer application that can bemodeled as the TSP problem. This must be at least one paragraph.(something other than scheduling a bunch of jobs...
- Q Let Ω be any set and let F be the collection of all subsets of Ωthat are either countable or have a countable complement. (Recallthat a set is countable if...
- Q DOESIX SIGMAFactorial Design (DOE)An engineer is interested in the effects of cutting speed (A),tool geometry (B), and cutting angle (C) on the life (in hours) ofa machine tool. Two levels...
- Q The equation (sqrt(x^2+y^2) - R)^2 +z^2=r^2 represents a torus.(a) Find a suitable parametrization of torus. (b) Compute surfacearea of torus.
- Q Identify historical uses of statistics and probability for greatgood and for great harm. How can ethics and values be applied inthis field? Discuss A Modest Proposal, by Jonathan Swift as...
- Q Consider the system of linearequations:3? − 5? + 2? = 22? − ? + 3? = 3? + 4? + 7? = 4(a) Write the augmented matrix for the abovesystem.(b)...
- Q uselaplace transforms to solve ivpx\" + 4x' + 3x = 1, x'(0) = 2, x(0) = 1
- Q In the UK sales of music CDs per year have declined from 60million in 2013 to 48 million in 2016 and further to 32 million in2018.(a) What was the average...
- Q Write matlab program to compute ∫f(x)dx lower bound a upperbound b using simpson method and n points. Then, by recomputingwith n/2 points and using richardson method, display the exacterror and...
- Q Consider the following linear program:  MAX Z = 25A + 30B  s.t. 12A + 15B ≤ 300  8A + 7B ≤ 16810A + 14B ≤ 280  Solve this linear program...
- Q Problem from Hamilton Cycle Chapter: \"Fourmarried couples met at a restaurant for dinner every Friday nightfor three weeks. Sometimes a large table was available toaccommodate all 8 people, but other...
- Q Now that you have conducted a series of inferential statisticsto validate your claim. Discuss any three (3) possible concerns inbusiness or statistical aspects regarding the approach used here.Such that in...
- Q Prove that any continuous function on a standard n-dimensionalcube In can be uniformly approximated by polynomials in n variablesx1, . . . , xn.
- Q Suppose that there are n people in a group, each aware of adifferent secret no one else in the group knows about. These peoplecommunicate by phone; when two people in...
- Q 23. Consider the 5 x 6 matrix A whose (i,j)h element is aiji+j;(a) What is A(10:20)?(b) What is k such that A(k) = A(3,4)?(c) Show how A is stored in...
- Q I'm using 2005 NFL stats to come up with a multiple linearregression analysis models with the winning percentage being thedependent variable. My question would be, what are the mostsignificant variables...
- Q Let u(x, y) = x^3 + kxy^2 + y. (a) Determine the value of k suchthat u is an harmonic function. (b) Find the harmonic conjugate vof u. (c) Obtain...
- Q Q3(a) Briefly describe the extended Euclidean plane, and explainhow it satisfies the axioms of projective geometry.(b) Describe the Real Projective Plane RP2, explaining whatpoints and lines in RP2 correspond to...
- Q Problem 4. Let P be the orthogonalprojection associated with a closed subspace S in aHilbert space H, that is P is a linear operatorsuch thatP(f) = f if f ∈...
- Q (D^(2)+2D+5)^(2)(D-3)^(3)y=xe^(3x)-5e^(x)sin(2x)Find the homogeneous solution.Find a particular solution.Finding of coefficients is not necessary.
- Q We see data displayed in graphs and charts on a regular basis.Because we live in a world dominated by visual information, it isnot surprising that writers, advertisers, and journalists use...
- Q Brian is selling balloons in 8 different colours: red, pink,yellow, blue, green, purple, black and silver.How many different selections of 16 helium balloons can bepurchased if the shop has at...
- Q Assume that human body temperatures are normally distributed with amean of 98.2°F and a standard deviation of 0.63°F a hospital usesit 100.6°F as the lowest temperature considered to be a...
- Q Determine whether each of the following statements is True orFalse. If True, write a proof. If False, exhibit acounterexample.1) If m, n are arbitrary positive integers, then any system offormx...
- Q Prove or disprove the following statements:a) If both x2 and x3 are rational, then sois x.b) If both x2 and x3 are irrational, thenso is x.c) If both x+y and...
- Q using series to solvedifferential equationsusing series to solvedifferential equations1.) y’’-(e^5x)y’+xy=0,y(0)=2,y’(0)=1
- Q What would be a good business case to use one-way table? Whatabout two-way table?
- Q Determine whether each of the following statements isTrue or False. If True, write a proof. If False, exhibit acounterexample.1) If m, n are arbitrary positive integers, then anysystem of formx...
- Q Solve with Laplace transform1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0) = −72. (1− t) y''+ t y' − y = 0, y(0) = 3, y'(0)...
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