Advance Math question and answers for July 06, 2023
- Q Compute the Shapley-Shubik power indices of the weighted votingsystem [8: 6, 4, 1], expressing your answers as fractions.
- Q a) Suppose f:R → R is differentiable on R. Prove that if f ' isbounded on R then f is uniformly continuous on R.b) Show that g(x) = (sin(x4))/(1 +...
- Q How do you use strong induction to show that the coefficient ofx^2 in the expansion of (1+x+x^2+...x^n)^n is (1+2+...n)?
- Q In linear regression , why can we see the lack of fit test asthe comparison between the model we choose and the saturatedmodel?
- Q 9. Let S = {[ x y]; in R2 : xy ≥ 0} . Determine whether S is asubspace of R2.(A) S is a subspace of R2.(B) S is not...
- Q Develop a function DNF that takes as input a proposition andreturns as output a logically equivalent proposition in DNF. Hint:Adapt the CNF function.
- Q y\"+y=-1,y(0)=0,y(Pi/2)=0I want to solve this equation by details(by properties of the green function only)
- Q Goldberg's sleigh currently runs at 203mph, but he needs it toreach 400mph with all the packages he has to deliver.If Goldberg is delivering presents at an altitude of5,813.6ft, with the...
- Q Prove that for any integer n the expressionn7/7 + n5/5 + 23n/35is whole integer.(Hint: Note that the problem can be state in a following equivalentform: 35 | (5n7 +7n5 +23n);even...
- Q Let sn be a Cauchy sequence such that ∀n > 1, n ∈ N, ∃m >1, m ∈ N such that |sn − m| = 1/3 (this says that every...
- Q Find a conformal mapping which maps the upper half-plane ontothe exterior of the semi-inï¬nite strip |Re w|< 1, Im w >0
- Q let l be the linear transformation from a vector space V whereker(L)=0 if { v1,v2,v3} are linearly independent vectors on V prove{Lv1,Lv2,Lv3} are linearly independent vectors in V
- Q 16. Which of the following statements is false?(a) Let S = {v1, v2, . . . , vm} be a subset of a vector space Vwith dim(V) = n. If...
- Q Sketch the graph of y = x3 − 3x + 3.
- Q A := {{1, 0}, {0.21, 0.79}}B := {{1, 0, 0}, {0.21, 0.79, 0}, {0.17, 0.35, 0.48}}are the matrices regular? ergodic? find a limiting value ifapplicable
- Q What a Workbook!You will create a math demonstration that teaches how to solveapplication problems related to systems of equations and factoringpolynomials.  Requirements:Three different application problems involving setting up andsolving a system...
- Q The table below shows the quantity measured for 12 samples (inkg). Create an xbar-chart and an R-chart and plot the values forthe 12 samples. Comment on whether or not the...
- Q Determine the general solution of the differential equations.Write out the solution ? explicitly as a function of ?.(a) 3?^2?^2 ??/?? = 2?−1(b) 2 ??/?? + 3? = ?^−2? − 5
- Q Use the Sylow theorems to show(a) there are no simple groups of order 55(b) there are no simple groups of order 56
- Q Solve 3xy'' + y' - y = 0 by the Method of Frobenius.
- Q How might the history of mathematics be important to the way wepractice mathematics?
- Q Define1). homogeneous function2). Euler's theorem3). le chatelier's principle4). young's theory
- Q You are responsible for conducting a reliability sequentialqualification test for a new keyboard design. The system MTBFrequirement goal is 6,000 hours and the minimum acceptable MTBF is4,000 hours. Both producer...
- Q -List the models (of different manufactures) that produce freeelectron- beam CT scanner. -Speak about the mechanism of moving thebeam safely.
- Q 3) What payment is required at the end of each month for 3years to repay a loan of $8000.00 at 6.4% compounded monthly?
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