Advance Math question and answers for July 02, 2023
- Q a)The demand function for a product is modeled byp = 12,0001 −77 +e−0.001x.Find the price p (in dollars) of the product when thequantity demanded is x = 1000 units and...
- Q Thank YouDefine the gcd of three integers a, b, c as the largest commondivisor of a, b, c, and denote it by (a, b, c). Show that (a, b, c)=...
- Q Find a p-Sylow subgroup for each of the given groups, and primep:a. In Z24 a 2-sylow subgroupb. In S4 a 2-sylow subgroupc. In A4 a 3-sylow subgroup
- Q 1.29 Prove or disprove that this is a vector space: thereal-valued functions f of one real variable such that f(7) =0.
- Q Consider the Tragedy of the Commons game from thechapter with two shepherds, Aand B,wheresAandsBdenote the number of sheep each grazes on the commonpasture. Assume that the benefit per sheep (in...
- Q What info does the Linest array function give you with respect tothe linear regression line?
- Q Explain the difference between the actual definition of aRiemann Integral of function f on the interval [a,b] and theconclusion of the FTOC Part 2.(Fundamental Theorem of Calculus Part2)
- Q The following matrix is the augmented matrix for a system oflinear equations. A =11011001330001122055(a) Write down the linear system of equations whose augmentedmatrix is A.(b) Find the reduced echelon form...
- Q Prove the following for undirected graphs:(a) A 3-regular graph must have an even number of vertices.(b) The average degree of a tree is strictly less than 2.
- Q 1. Prove ├(∀x)A ∨ (∀x)B → (∀x)(A ∨ B).2. Use the ∃ elimination technique —and ping-pong if/whereneeded— to show ├(∃x)A → (∃x)(B → A).Appreciate you.
- Q Consider the Newton-Raphson method for finding root of anonlinear function??+1=??−?(??)?′(??), ?≥0.a) Prove that if ? is simple zero of ?(?), then the N-R iterationhas quadratic convergence.b) Prove that if ?...
- Q Key information:Box dimension: 12†x 10†x 6†O.D.Pallet dimensions: 48†x 42†x 6â€Constraints: (1) No pallet overhang                    (2) Pallet unit load <= 48†high, including the pallet, for storage...
- Q Use the Runge-Kutta method with step sizes h = 0.1, to findapproximate values of the solution ofy' + (1/x)y = (7/x^2) + 3 , y(1) = 3/2 at x =...
- Q Let G be a group. (consider the following parts that gotogether):(1) Prove that (a-1ba)n =a-1bna for any a,b in G, and any integern.(2) Prove that |xax-1| = |a| for any...
- Q A 1 kg mammal uses about 5 kcal of energy per hour (metabolicrate). It eats hay, which contain about 2000 kcal per kg.a. Write out the equation to calculate how...
- Q Suppose we want to use Twitter activity to predict box officereceipts on the opening weekend for movies. Assuming a linearrelationship, the Excel output for this regression model is givenbelow.                                  Excel output:SUMMARY...
- Q using / for integralEvaluate the double integral //R cos( (y-x)/(y+x) )dA where R isthe trapezoidal region with vertices (1,0), (2,0), (0,2), and(0,1)
- Q explain how a backwards bending labor supply curve affects theincidence of a tax on wages
- Q Q: (LU decomposition) Find the LU decomposition of A = [-3 2 51; 12 -4 -20 -2; -6 0 15 1; -9 6 35 4]. You can use the compactmethod...
- Q A SEIRS model with stochastic transmission :projectproposal
- Q \"We want to verify that IP(·) and IP^-1(·) are truely inverseoperations. We consider a vector x = (x1, x2, . . . ,x64) of 64bit. Show that IPï¬ve bits of...
- Q 1) Show that if A is an open set in R and k ∈ R \ {0}, then theset kA = {ka | a ∈ A} is open.
- Q An ?-pyramid is created with ? blocks at the base, ? − 1 blockson the next level, until the peak which has 1 block.Pyramids are colored according to the following...
- Q [Jordan Measure] Could you prove the following ?Prove that the sets Q ∩ [0, 1] and [0, 1] \ Q are not Jordanmeasurable.
- Q Nuclear Fuel Cycle:Assuming that the price per SWU is $80 and the cost ofconversion is $4/kgU, what is theprice of the U3O8 ($/lb U3O8) beyond which it will cost less...
- Q Write a Matlab function for a matrix that takesin a matrix in echelon form and will return the rowcanonical form. The function cannot userref, or any other matlab built in...
- Q When we roll one die, we have a 1 in 6 probability ofgetting any particular number on the die.  When we rollboth dice, there are 36 different permutations of total...
- Q Juan is a salesman for L. L. Bowers Corp. He has a choice ofthree compensation plans. Plan 1 pays $2500 per month. Plan 2 pays$2000 per month plus 15% commission....
- Q Given X′=AX with X(t)=[x(t)y(t)], A=[23−4012−21] and X(0)=[3−4]. (a) Write the eigenvalues and eigenvectors of A λ1= , V1= ⎡⎣⎢⎢ ⎤⎦⎥⎥ , and λ2= , V2= ⎡⎣⎢⎢ ⎤⎦⎥⎥ (b) Write the...
- Q Let f : V mapped to W be a continuous function between twotopological spaces V and W, so that (by definition) the preimageunder f of every open set in W...
- Q Let X = [1, 0, 2, 0]tand Y = [1, −1, 0, 2]t.(a) Find a system of two equations in four unknowns whosesolution set is spanned by X and Y.(b)...
- Q Sec 5.4-find the payment necessary to amortize a 12% loan of $2100compounded quarterly with 15 quarterly payments-find the monthly house payments necessary to amortize a 10.8%loan of 162,200 over 25...
- Q Let f be a one-to-one function from A into b with B countable.Prove that A is countable.Section on Cardinality
- Q The table to the right gives size and distance data for theplanets at a certain point in time. Calculate the scaled size anddistance for each planet using a 1 to...
- Q One-Way ANOVA and Multiple ComparisonsThe purpose of one-way analysis of variance is to determine ifany experimental treatment, or population, means, are significantlydifferent. Multiple comparisons are used to determine which of...
- Q Examine the propagation of roundoff through division.
- Q Using traditional methods it takes 8.2 hours to receive a basicflying license. A new license training method using Computer AidedInstruction (CAI) has been proposed. A researcher used thetechnique on 26...
- Q (a) Find the limit of {(1/(n^(3/2)))-(3/n)+2} and use anepsilon, N argument to show that this is indeed the correctlimit.(b) Use an epsilon, N argument to show that {1/(n^(1/2))}converges to 0.(c)...
- Q Let C be a plane curve parameterized by arc length by α(s), T(s)its unit tangent vector and N(s) be its unit normal vector. Show ddsN(s) = −κ(s)T(s).
- Q For the following LP problem, determine the optimal solution bythe graphical solution method.Min Z= 3x1+2x2Subject to 2x1+x2 >10Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â -3x1+2x2< 6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X1+x2> 6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â X1,x1> 0Graph and shade the feasible region
- Q Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not,...
- Q An urn always contains two balls, where each ball is either red or blue.At each stage a ball is randomly chosen from the urn. A drawn redball is always replaced...
- Q Find the following Taylor Series with given centers. Use thealgebraic methods rather than the derivatives.1. f(x) = x^3 + x^2 -2x +3 centered at a= -12. sin(x) centered at a=...
- Q Answer the following questions.(a) What is the implication of a correlation matric not beingpositive-semidefinite?(b) Why are the diagonal elements of a correlation matrix always1?(c) Making small changes to a positive-semidefinite...
- Q Cycloid is the curve traced by a point P on the circumference of a circle of radius a rolling along a straight line in a plane. See the figure. The...
- Q Let l:ax1+bx2 =c be a line where a^2+b^2 =1.Find the map f: R^2→R^2 that represents the reflection about l.Verify that the transformation f found in Problem 1 is anisometry.
- Q In each case below either show that the statement is True orgive an example showing that it is False.(V) If {x1, x2, . . . xk, xk+1, . . ....
- Q Suppose your vehicle’s speedometer is geared toaccurately give your speed only using a certain tire size: 17â€diameter wheels (the metal part) and a 6.5†tires (thickness ofrubber part).a. If your...
- Q Suppose that X is a non-empty, complete, and countable metricspace. Use Baire Category Theorem only to prove directly that X hasan isolated point. Include a precise statement of the theorem...
- Q rotate around the z -axis the region :T ={(x,z)'∈ R^2:sinz<x<π -z,0<z<π} to obtain the solid Ω.find its volumeand center of mass.
- Q Let R be the real line with the Euclidean topology.(a) Prove that R has a countable base for its topology.(b) Prove that every open cover of R has a countablesubcover.
- Q What is the remainder of 23451638 divided by 5? What is the remainder of 23451638 divided by 4? [Hint: This is easy, use 4 and 5 divide 100.]
- Q Several years agoBrant, Inc., sold $960,000 in bonds to the public. Annual cashinterest of 9 percent ($86,400) was to be paid on this debt. Thebonds were issued at a discount...
- Q Let (Xn) be a monotone sequence. Suppose that (Xn) has a Cauchysubsequence. Prove that (Xn) converges.
- Q Solve the given differential equation by undeterminedcoefficients. y'' − y' + (1/4) y = 6 + e^(x/2)
- Q Make a list of examples of Markov chains with differentproperties : irreducible, regular, has a limiting distribution,does not have a limiting distribution, does not have a limitingmatrix, has infinitely many...
- Q 8. Which FPU register number (R0 through R7) is identified asST(0)?9. Which FPU register determines the precision and roundingmethods for calculations?10. If the divide by zero exception flag in the...
- Q Interpret what this Truth table tells you. What’s your claimregarding Elmo and Big Bird’s colors using the truth table youconstructed? Does the information (T and F) from your Truth Tablealign...
- Q A dorm at a college houses 1900 students. One​ day, 20 of thestudents become ill with the ​flu, which spreads quickly. Assumethat the total number of students who have been...
- Q Let p be an odd prime and a be any integer which is notcongruent to 0 modulo p.Prove that the congruence x 2 ≡ −a 2 (mod p) has solutions...
- Q Find two power series solutions of the given differentialequation about the point x=0(x^2+2) y″+3xy'-y=0
- Q Compute all possible cycles, length of the cycle, and number ofcycles in the following cases:(a) mult by 3 mod 17(b) mult by 13 mod 17(c) mult by 9 mod 17(d)...
- Q Let f be a differentiable function on the interval [0, 2π] withderivative f' . Show that there exists a point c ∈ (0, 2π) suchthat cos(c)f(c) + sin(c)f'(c) = 2...
- Q Instructions:1. Get 4 coins, any country, any value, as long as it is2-sided with heads on one side and tails on the other.2. Without actually flipping the coins, write down...
- Q Devonna and Jerry aremaking cookies for a bake sale at their daughters’ school. Theydecide to make chocolate chip cookies and iced sugar cookies.Respond to the following questions (make sure the...
- Q which of the following describes a study in which the researchersdo not attempt to change the characteristics of those beingstudied?A) Single-blind experimentB) case-conteol studyC) Double-blind experimentD) observational study
- Q 1. Calculating inflation using a simple priceindexConsider a fictional price index, the College Student PriceIndex (CSPI), based on a typical college student’s annualpurchases. Suppose the following table shows information on...
- Q Use the shell method to find the volume of the solid generatedby revolving the region bounded by the line y equals 2x plus 3 andthe parabola y equals x squared...
- Q A probability density function on R is a function f :R -> Rsatisfying (i) f(x)≥0 or all x e R and (ii) \int_(-\infty )^(\infty) f(x)dx = 1. For which value(s)...
- Q Suppose that you pick a bit stringfrom the set of all bit strings of length ten. Find the probabilitythatthe bit string has exactly two 1s;the bit string begins and ends...
- Q Use ten iterations of the appropriate MATLAB function, withx^(0)=[0,...,0]', to solve Ax=b (approximately).A)use Jacobi iteration.B) use Gauss-siedel iteration.1) make sure to use SOR with w=1.25, w=1.5, w=1.75,w=1.9, andoptimal value if...
- Q Problem 2: You have applied to two universities X and Y forgraduate admission. There is a .25 chance that you are going to getinto X and .20 chance that you...
- Q 6. Suppose K1 and K2 are compact. Why is K1 ∪ K2 necessarilyalso compact?(a) Write a proof of this using the sequential definition.(b) Write a proof of this using the...
- Q The next three questions are based on the followinginformation.To study the weight accuracy of a 50lb fertilizer bag, 12 samplesof 12 bags of fertilizer in each sample were taken and...
- Q Please review all of the course materials regardingFinancial Markets: Savings and Investment Vehicles before you beginthis assignment.  You will also need to reference the TaxCuts and Jobs Act of 2017.The questions...
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