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Questions -
Q1. Solve the diffusion equation with constant dissipation:
ut - kuxx + bu = 0 for -∞ < x < ∞ with u(x, 0) = φ(x),
where b > 0 is a constant. (Hint: Make the change of variable u(x, t) = e-btv(x, t).)
Q2. Solve the diffusion equation with variable dissipation:
ut - kuxx + bt2u = 0 for -∞ < x < ∞ with u(x, 0) = φ(x), where b > 0 is a constant.
Q3. Solve the heat equation with convection:
ut - kuxx + Vux = 0 for -∞ < x < ∞ with u(x, 0) = φ(x), where V is a constant.
If the number of rabbits is 5 less than one-half the number of cats, and there are 20 more cats than dogs, how many of each animal are at the shelter?
Assume Emerson Electrics managers expect an earnings downturn and a resulting decreases in growth of 3 percent. How does this affect your answers to parts 1 and 2?
Does your Coefficient of Correlation seem consistent with your answer to #2 above? Why or why not? What proportion of the variation in listing price is determined by variation in the square footage? What proportion of the variation in listing pri..
margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
What is the first step?
An orientation of an undirected simple graph is an assignment of directions to its edges such that the resulting directed graph is strongly connected.
Verify the divergence theorem on the field D=2xy ax + x^2 ay in the rectangular parallelepiped formed by the six planes x=0 and x=1, y=0 and y=2, z=0 and z=3.
A stone is thrown straight up from the roof of an 80-ft building. The height (in feet) of the stone at any time t (in seconds), measured from the ground.
We note that a function can be written as a polynomial in sin x (or cos x) if it is of the form p(sin x) (or p(cos x)) for some polynomial p(x).
Determine the number of triangles ABC possible with the given parts.
Each new lawyer the firm hires is expected to handle 150 hours per month of casework and to work all year. All casework must be completed by the end of the year. the firm wants to know how many new lawyers it should hire for the year.
BOX-OFFICE RECEIPTS The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function.
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