• Q : Find the outward flux of the vector field....
    Mathematics :

    Use Divergence Theorem to find the outward flux of the vector field F= xi + yj +zk, where E is the solid region bounded by the sphere (x^2) + (y^2) + (z^2) = 4 and the cone z = sqrt((x^2) + (y^2)).

  • Q : Two years of an amortization table....
    Mathematics :

    Heathrow issues $2,500,000 of 6%, 15-year bonds dated January 1, 2011, that pay interest semiannually upon June 30 and December 31. The bonds are issued at the price of $2,160,279. Make the first t

  • Q : Square feet of acoustical ceiling....
    Mathematics :

    A commercial project needs the installation of 1.856 square feet of acoustical ceiling. Using the productivity rate of 0.013 labor hours for each square foot and the productivity factor of 0.95, fi

  • Q : Determine the total number of edges....
    Mathematics :

    If the graph is a tree and has 15 verticies, then determine the total number of edges found in this tree?

  • Q : Satisfying the functional equation....
    Mathematics :

    Find all functions f:R->R satisfying the functional equation f((x-y)^2)=f(x)^2-2xf(y)+y^2.

  • Q : Find out the number of points....
    Mathematics :

    Pet Shop A pet shop is selling a calico cat, a Siamese cat, a Persian cat, and Himalayan cat. The Chens are going to choose two cats to bring home as pets. Find out the number of points in the sampl

  • Q : Period of high unemployment....
    Mathematics :

    Part 1: Suppose that country is in period of high unemployment, interest rates are at almost zero, inflation is regarding 2% per year, and GDP growth is less than 2% for each year.

  • Q : Equation for a cubic bezier curve....
    Mathematics :

    Provide the equation for a cubic Bezier curve (determining any notation that is introduced) and discuss why the domain of this polynomial function leads to greater numerical stability then if the d

  • Q : Determine the market price....
    Mathematics :

    Guggenheim, Inc. provides a 7% coupon bond with the annual payments. The yield to maturity is 5.85% and maturity date is 9 years. Determine the market price of a $1,000 face value bond?

  • Q : Determine the capacitance....
    Mathematics :

    A parallel plate capacitor has the plate area of 0.525 m^2 and plate separation of 2.15mm. Determine the capacitance?

  • Q : Determine the average value of a variable....
    Mathematics :

    An experimenter working in the urban area wants to determine the average value of a variable highly correlated with race. She is considering the use cluster sampling , with city blocks as clusters a

  • Q : Determine the simple statements....
    Mathematics :

    Suggest the statement: If you break the law and change the law, then you've not broken the law. Determine the simple statements in the given statement and label them with variables.

  • Q : Determine the laplace transform of the function....
    Mathematics :

    Determine the Laplace transform of the function f(t)=(e^3t)(cos6t)-t^3+e^-4t.

  • Q : Find out the nitrogen dioxide levels....
    Mathematics :

    A scientist determines that the mean nitrogen dioxide level in Calgary is greater than 32 parts per billion. You're asked to test this estimate, so ou find out the nitrogen dioxide levels for 34 ran

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

    Describe that (2xy +y^2 +1) dx+( x^2 +2xy +1) dy = 0 is exact, and find the general solution.

  • Q : Impact on profits....
    Mathematics :

    The annual fixed cost of $2,000,000 would be unaffected by special order. What would be the impact on profits if Costa were to accept this special order?

  • Q : Distributions of students....
    Mathematics :

    In the mass class of 350 students, there're 14 recitation sections, 25 students each. How many distributions of students are possible into those recitation sections?

  • Q : Distance between two vertices....
    Mathematics :

    The distance between two vertices x and y of a graph, denoted d(x,y), is the length of the shortest path joining x and y.

  • Q : Non-trivial finite-dimensional vector space....
    Mathematics :

    Let V be a non-trivial finite-dimensional vector space and let T: V --> V be a linear transformation with T^2 = 0. Is it possible that a T is one-to-one? If yes, give an example and if no, then

  • Q : Initial value problem....
    Mathematics :

    Solve the initial value problem y'=y^3 y(1)=0. Find the general solution to the ordinary differential equation: y'-y=e^(2t)

  • Q : Find the critical points for the system....
    Mathematics :

    Find the critical points for the system dx/dt = 3x - x^2 - xy and dy/dt = y + y^2 -3xy.

  • Q : Number of non negative solutions....
    Mathematics :

    Find out the number of non negative solutions that obey both of the following two equalities:

  • Q : Simple program on matlab....
    Mathematics :

    Write down a simple program on MATLAB to find the root of f(x) = x^3 + 2x^2 +10x -20 by using secant method with starting value x0 = 2 and x1 = 1. Run 20 steps, and include a stopping test as well.

  • Q : Mechanic to rebuild transmission....
    Mathematics :

    A study of the amount of time it takes the mechanic to rebuild transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics a

  • Q : Average sound pressure levels....
    Mathematics :

    You found the average sound pressure levels for each octave band given in table below. Also shown are the transmission losses for the proposed barrier. Determine the sound pressure level loss you ma

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