Advance Math question and answers for July 25, 2023
- Q For the following exercises, use the given information about the polynomial graph to write the equation.Degree 5. Double zero at x = 1, and triple zero at x = 3....
- Q Explain the process, in general terms, that the ancient Chinesemathematician Liu Hui used to approximate pi, and how was this thesame or different from what Archimedes had done?
- Q Suppose A = {(a, b)| a, b ? Z} = Z × Z. Let R be the relationdefine on A where (a, b)R(c, d) means that 2 a + d...
- Q Question Set 2: Two Independent MeansAnswer the following questions using the NYC2br.MTWfile. You can find this dataset in this assignment in Canvas (i.e.,where you downloaded this document and where you’ll...
- Q Solve by variation of parameters.y''+4y =sin(2x)y'''-16y' = 2
- Q In order to apply Green’s theorem, the line integral of theboundary should be evaluated such that the integration regioninside the boundary lies always on the left as one advances in...
- Q Prove that (ZxZ, *) where (a,b)*(a',b') = (a+a',b+b') is agroup
- Q Expand the function, f(x) = x, defined over the interval 0 <x<2, in terms of:A Fourier sine series, using an odd extension of f(x)and A Fourier cosine series, using an...
- Q . (a) Let a and b be two non-zero vectors with a commoninitial point 0 and whose directions are inclined at an angle O.Define the vector product of a and...
- Q . (a) ABCD is a parallelogram. If the position vectors of A,Band C are 4i + 8j, 3i + 6j and-5i - 2j respectively, find i. the direction vector of...
- Q find two power series solutions of 2x^2 y''-xy'+(x+1)y=0 aboutthe center at the point x=0
- Q Find the first four nonzero terms in a power series expansionabout x0 for a general solution to the givendifferential equation with the given value for x0??y'-2xy=0 , x0=-4
- Q you are a member in a project team and the project managerasked you to purchase 4 laptops with certain specifications (lenovothinkpad T series,core i7,2 tera storage ,32 GB Ram ,15.6...
- Q At what point do the curves r1(t) = t, 3 ? t, 35 + t2 and r2(s)= 7 ? s, s ? 4, s2 intersect? (x, y, z) = Find...
- Q *PLEASE SHOW ALL WORK*Consider a damped, forced mass/spring system. Let t denote time(in seconds) and let x(t) denote the position (in meters) of themass at time t, with x =...
- Q Consider these 2 functions (all with domain and codomain (Z/pZ)for some big prime p): h(x) = 1492831*x and h(x) = x3 .Why are these bad cryptographic hash functions? Give differentreasons...
- Q To appreciate how viscous drag are being computed if we have thevelocity field, let us consider the following velocity field for aflow of Newtonian viscous fluid u = x +...
- Q Given a quadric surface in the xyz-space with equationax2 + by2 + cz2 = d, where a, b, c, d are real constants, thatpasses through the points (1,1,?1), (1,3,3) and...
- Q 1. Show that the set of all polynomials of deg=2 is not a vectorspace over reals.can this be fixed, can we have a set of polynomials that is avector space...
- Q Montreal Manufacturing Inc. has the following cost andproduction data for the month of April.Beginning WIP17,900unitsStarted in production104,000Completed production91,600Ending WIP30,300The beginning inventory was 60% complete for conversion costs.The ending inventory was...
- Q ******* Calculus**************+=~.~Let P1 be the plane defined by the equation 2x?8y+5z = 2 andlet P2 be the plane defined by the equation 3x + 2y ? z = 7. Findthe...
- Q Solve the given initial value problem by undeterminedcoefficients (annihilator approach).y'' ? 4y' + 4y = e^4x + xe^?2xy(0) = 1y'(0) = ?1
- Q Question 1:There are 180 primary schools in a country area having anaverage of 30 or more people under the age of 21 per class. Asample of 30 schools drawn using...
- Q Prove the integers mod 7 is a commutative ring under addition andmultiplication. Clearly state the form of the multiplicativeinverse.
- Q Consider the following nonlinear differential equation, whichmodels the unforced, undamped motion of a "soft" spring that doesnot obey Hooke's Law. (Here x denotes the position of a blockattached to the...
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