Advance Math question and answers for August 26, 2023
- Q Let “ ·n” be multiplication modulo n, and consider the set Un ={ [a] ? Zn | there is a [b] ? Zn with [a] ·n [b] = [1]}(a) Show...
- Q Prove that any amount of postage greater than or equal to 14cents can be built using only 3-cent and 8-cent stamps
- Q Suppose that W1 and W2 are subspaces of V and dimW1<dimW2.Prove that there is a nonzero vector in W2 which is orthogonal toall vectors in W1.
- Q Please show all work and calculationsneatly!no code allowed!---------------Using Simpson's Rule, verify that the weight w1 equals 4h/3 byintegrating the appropriate Lagrange basis function
- Q Solve the equation below for y(t):y''+2y'-3y=8u(t-3): y(0) = 0; y'(0)=0
- Q Find the number of passwords that use each of the digits3,4,5,6,7,8,9 exactly once. IN how many of the passwords:1. are the four odd digits consecutive?2. are no two odd digits...
- Q Take the Laplace transform the following initial value problemand solve for Y(s)=L{y(t)}y”-6y’-27y={1, 0<=t<1 ; 0, 1<=ty(0)=0, y’(0)=0Y(s)=?Now find the inverse transform to find y(t)=?Note:1/[s(s-9)(s+3)]=(-1/27)/s+(1/36)/(s+3)+(1/108)/(s-9)
- Q The following table shows the rate R of vehicularinvolvement in traffic accidents (per 100,000,000 vehicle-miles) asa function of vehicular speed s, in miles per hour, forcommercial vehicles driving at night...
- Q Image:bit.ly/2RvpGag
- Q Find a particular solution toy''+6y'+9y=(-18.5e^(-3t))/(t^2+1)
- Q dx dt =ax+by dy dt =?x ? y,2. As the values of a and b are changed so that the point (a,b)moves from one region to another, the type of...
- Q Let t be a positive integer. Prove that, if there exists aSteiner triple system of index 1 having v varieties, then thereexists a Steiner triple system having v^t varieties
- Q Recall that (a,b)?R means an open interval on the real numberline:(a,b)={x?R|a<x<b}.Let ? be the usual “less than or equal to” total order on thesetA=(?2,0)?(0,2)Consider the subsetB={?1/n | n?N, n?1}?A.Determine an...
- Q Classify all the groups of order 175 up to isomorphism.
- Q convert differential equation to a matrix differential equation? can put anexample and solve it.
- Q Solve using laplace transformy" + 3y = -48t^2e^3t ; y(0) = 2 , y(0) = 1y" + 6y' + 5y = t - tu(t-2); y(0) = 1 , y'(0) =...
- Q Formulate the following problem. DO NOTSOLVE.The Lifang Wu Corporation manufactures two models of industrialrobots, the Alpha 1 and the Beta 2. The firm employs 5 technicians,working 160 hours each per...
- Q Suppose a lady bug is flying about 3-space and now isat the point (0,2,3). Say the temperature at each point is given byT(x,y,z) = x^3 + z^2 - 2ye^x.a) What...
- Q If G has no nontrivial subgroups, prove that G must be finite ofprime order.
- Q Please explain all the steps!Let f : R2 ? R2 be the affinetransformation which reflects about the line x = 1, then rotates 90degrees clockwise about the origin. Write f...
- Q For each of the properties reflexive, symmetric, antisymmetric,and transitive, carry out the following.Assume that R and S are nonempty relations on a set A that bothhave the property. For each...
- Q y"-8y'+20y = (13x^2+x)e^x
- Q Tommy Choi is the quality assurance director at Bimbo BakeryCorporate R&D Facility. They are investigating a moistureissue, where excessive moisture would create microbial growthnegatively affecting the shelf life of their...
- Q Solve the following differential equation by the method ofundetermined coefficients:y?? ?2y? +y=(2x)e^x +e^x(sin2x)
- Q You're cleaning up your little nephew's toy room. There are Ttoys on the floor and n empty toy storage boxes. You randomly throwtoys into boxes, and when you're done the...
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