Using Hamilton’s equations, show that for any solution ρ(t) of
Liouville’s equation that asymptotically approaches the...
Using Hamilton’s equations, show that for any solution ρ(t) of
Liouville’s equation that asymptotically approaches the equilibrium
solution ρ(eq), there is a time-reversed solution that diverges
from it. What does this mean?
Using the elastic collision equations show the detailed steps in
deriving equation (1)
Using the plastic collision equations show the detailed steps in
deriving equation (2)
(1) v'B = (mA / mA + mB + m) * vA
(2) v' = (mA / mA + mB +m) * vA
m is mass attached to mB
use elastic collision equations to algebraically derive equation
1, and use plastic collision equations to algebraically derive
equation 2
m is a mass attached to...
Using Θ-notation, provide asymptotically tight bounds in terms
of n for the solution to each of
the following recurrences. Assume each recurrence has a non-trivial
base case of T(1) = Θ(1).
For example, if asked to solve T(n) = 2T(n/2) + n, then your answer
should be Θ(n log n).
Give a brief explanation for each solution.
(a) T(n) = 5T(n/2) + n
(b) T(n) = 4T(n/2) + n2
(c) T(n) = T(n/4) + T(n/2) + n
Using the SSL values of T, p and ρ,calculate the
standard atmosphere values at an altitude of 22km using the
equations and graphs. How do these values compare to the values
found from the tables?
Find a vector equation and parametric equations for the line.
(Use the parameter t.)
The line through the point
(2, 2.9, 3.6)
and parallel to the vector
3i + 4j − k
r(t)
=
(x(t), y(t), z(t))
=
Let y(t) = (1 + t)^2 solution of the
differential equation y´´ (t) + p (t) y´ (t) + q (t) y (t) = 0
(*)
If the Wronskian of two solutions of (*) equals three.
(a) ffind p(t) and q(t)
(b) Solve y´´ (t) + p (t) y´ (t) + q (t) y (t) = 1 + t