Advance Math question and answers for July 31, 2023
- Q Suppose that your air conditioner fails on Sunday at midnight(t0 = 0), and you cannot afford to have it repaired until payday atthe end of the month. Assume that the...
- Q factor all integers between 2 and 200 using the canonicalorder
- Q #MATLABThe following table of values gives experimentally-determined values of the angles of incidence and refraction of light through water. The known index of refraction of water is sin?i/ sin?r =...
- Q Let p be an odd prime.(a) (*) Prove that there is a primitive rootmodulo p2 . (Hint: Use that if a, b have orders n, m,with gcd(n, m) = 1,...
- Q Show that the following two problems are equivalent: P1 :Minimize cx subject to b1 < Ax < b2 where x > =0. and P2 :Minimize cx subject to Ax +...
- Q Solve each of these congruences after finding their modular inversesa) 19x ? 4 (mod 141)b) 55x ? 34 (mod 89)c) 89x ? 2 (mod 232)
- Q Let u and v be two integers and let us assume u^2 + uv +v^2 isdivisible by 9. Show that then u and v are divisible by 3. (pleasedo this...
- Q Describe Menaechmus’s method of duplication of the cube, usingparabolas
- Q Solve y'=1-xy, y(0)=1
- Q Use Laplace transform method to solve the following initialvalue problems(a) d2y/dt2 + y = e^ ?t ; y(0) = 0, y? (0) = 0.(b) d2y/dt2+ y = t subject to...
- Q In a population of 200,000 people, 40,000 are infected with avirus. After a person becomes infected and then recovers, theperson is immune (cannot become infected again). Of the people whoare...
- Q In parts a-d evaluate the following determinants. show allsteps.a. 2x2 matrix the first row being 1 and 2 the second row being-3 and 4.b. 3x3 matrix, the first row being...
- Q for square matrices A and B show that [A,B]=0 then [A^2,B]=0
- Q Deduce from the Completeness Axiom that there exists a squareroot of a real number a if and only if a ? 0
- Q Please drive Spherical cap equation use diameter ofsphere D and height of cap h
- Q 1.Set-up the appropriate differential equation(s) and solve toderive the general equation of motion for a human sized “dummy”moving vertically (up/down) under the following assumptions:(a)The initial elevation is h0 ft.(b)The initial...
- Q Write a program (fortran 90) that calls a subroutine toapproximate the derivative of y=sin(x)+2x^2 using a one-sideddifference approach fx = (fi-fi-1)/deltaX and a centered differenceapproach fx = (fi+1-fi-1)/deltaX. The value...
- Q Problem 1: For the following linear programming problem:???????? ? = 40?1 + 50?2Subject to constraints:3?1 ? 6?2 ? 30?1 – 15 ? 3?2 2?1 + 3 ?2 = 24?1, ?2...
- Q Use the method of variation of parameters to find a particularsolution of the differential equation4 y???4 y?+y=32et2Y(t)=
- Q Let (X, dX) and (Y, dY) be metricspaces.Define the functiond : (X × Y ) × (X × Y ) ? Rbyd ((x1, y1),(x2,y2)) =dx(x1,x2)+dy(y1,y2)Prove that d is a metric...
- Q The table below gives the list price and the number of bidsreceived for five randomly selected items sold through onlineauctions. Using this data, consider the equation of the regressionline, yˆ=b0+b1x,...
- Q Exercise 1.8Your long distance phone service has a base monthly charge anda per-minute charge. When you used 350 minutes in a month the totalcost was $32.50. When you used 400...
- Q a 600gal tank initially containing 75lb of salt. Brinecontaining 1lb of salt per gallon enters the tank at a rate of5gal/s, and the well mixed brine in the tank flows...
- Q 1. Let v1, . . . , vn be nonzero vectors such that each vi+1 hasmore leading 0s than vi . Show that vectors v1, . . . , vn...
- Q A tank initially contains 80gal of pure water. Brine containing2lb of salt per gallon enters the tank at 2gal/min, and the(perfectly mixed) solution leaves the tank at 3 gal/min. Thus...
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