• Q : Find the number of possible outcomes....
    Mathematics :

    How can you find the number of possible outcomes of a playoff between two teams where the first team to win four games wins the playoff?

  • Q : Method of variation of parameters....
    Mathematics :

    Use the method of variation of parameters to determine a general solution to differential equation: ty''+(1-2t)y'+(t-1)y=te^t given that y1=e^t and y2=e^t (ln t) are two linearly independent soluti

  • Q : Validity of the limit....
    Mathematics :

    Prove the validity of the limit lim x->x_0 (ax+b)=ax_0+b by converting to a statement about sequences.

  • Q : Determine a general formula for the derivative....
    Mathematics :

    Suggest: f : R----> R is continuous, a, b are functions from R to R and are differentiable on R. g(x) = integral of f(t)dt with upper limit = b(x) and lower limit = a(x) the problem is to determ

  • Q : Find a linear differential operator....
    Mathematics :

    Find a linear differential operator that annihilates the given function. (Use D for the differential operator.)

  • Q : Differential equation by using the substitution....
    Mathematics :

    Solve the given differential equation by using the substitution u=y' (Use C1 and C2as arbitrary constants. Use x as the independent variable.)

  • Q : Simple straightforward problem....
    Mathematics :

    Make up an example of a problem which features the terms below, and solve them. It can be a extremely simple straightforward problem.

  • Q : Final velocity and time of fall....
    Mathematics :

    The football of the preceeding exercise is released( from rest) at an altitude of 16.3m. Find its final velocity and time of fall.

  • Q : Determine the growth rate in earnings per share....
    Mathematics :

    Five years ago a company earned $1.50 for each share (EPS = $1.50). Its earnings this year were $3.20. Determine the growth rate in earnings per share (EPS) over the 5-year period.

  • Q : Shadows and the tangent functions....
    Mathematics :

    Describe the connection between shadows and the tangent functions?

  • Q : Computation of the inverse matrix....
    Mathematics :

    Let A= [a b] denote the general ( 2X2 )- matrix for which a isn't equal 0 and ad-bc isn't equal 0 show, by using row reduction, the [c d] computation of the inverse matrix of A.

  • Q : Discpver the geometrical concept....
    Mathematics :

    Discpver the geometrical concept or pi that in a non-Western civilization. Was it appropriated by Europe without appropriate credit? Did it arise 2in several places simultaneously? If so, why? Or, i

  • Q : Geocentric view of the universe....
    Mathematics :

    Why did the geocentric view of the universe initially beat out heliocentric one throughout the times of Aristotle, Ptolemy, and Aristarchus?

  • Q : Compute the general solution....
    Mathematics :

    Compute the general solution of the given differential equation

  • Q : Differential equation by variation of parameters....
    Mathematics :

    Solve the differential equation by variation of parameters

  • Q : Part of number of soldiers....
    Mathematics :

    There is the certain army composed of dukes, earls, and soldiers. Each duke has under him twice as many earls as there're dukes. Each earl has under him four times as many soldiers as there are duk

  • Q : Find out a region....
    Mathematics :

    Find out a region of the xy-plane for which the given differential equation would have the unique solution whose graph passes through the point (x0, y0) in the region.

  • Q : Time needed by the first pipe....
    Mathematics :

    A tank is filled by three pipes with the uniform flow. The first two pipes operating simultaneously fill tank in the same time throughout which the tank is filled by third pipe alone. The second pip

  • Q : Compute the initial-value problem....
    Mathematics :

    A large tank with capacity of 100 gallons haves 50 gallons of pure water. A salt solution with oncentration of 0.1 lb/gal flows in the tank at a rate of 4 gal/min. The mixture is kept well stirred

  • Q : Recursive definition of the set of positive integers....
    Mathematics :

    Provide a recursive definition of the set of positive integers that are not divisible by 5. Need it broken down into basis step and recursive set.

  • Q : Vistied the same webpage....
    Mathematics :

    Let S be the set of all people in the world. For a,b elements of S define a binary relation R as follows: (a, b) elements of R if and only if a and b have vistied the same webpage. Is this an examp

  • Q : Large mixing tank....
    Mathematics :

    Assume that the large mixing tank intially holds 300 gallons of water in which 50 pounds of salt has been dissolved. pure water is pumped into the tank at a rate of 3gal/min, and when the solution i

  • Q : Derive the laplace transform....
    Mathematics :

    Given that Laplace Transform of xe^-kx is F(s) = 1/(s+k)^2, derive the Laplace transform of x^2e^3x without using the intergral definition.

  • Q : Differential equations by using separation of varables....
    Mathematics :

    Solve the differential equations by using separation of varables

  • Q : Determine the wavelength....
    Mathematics :

    Determine the wavelength of X-rays falling at glancing angle of 30 degreee on a crystal with atomic spacing 2x10^-10 m for the first order diffraction? Solve please.

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