Determine the stability region using the Jury criterion for a
system whose characteristic equation P(z). Plot...
Determine the stability region using the Jury criterion for a
system whose characteristic equation P(z). Plot the stability
region on a plane determined by a-k.
P(z)=z^4+kz^3+2z^2+az+3=0
Please provide as much details as possible.
Define stability of a system and state the criterion (or
criteria) for a system to be stable. What happens to an unstable
system in terms of transient response? Can real physical systems be
unstable?
For each region of the lac operon on the F' plasmid, I+ P+ Oc Z− Y+ , determine whether the region is wild type (that is, it produces a functional protein or it's a correct protein binding sequence) or whether the region is mutated. Select all that apply. Select all that apply. The promoter sequence is correct/functional. The repressor protein is produced. The operator sequence is correct/functional. Beta-galactosidase is produced from the lacZ gene. Permease is produced from the lacY...
Let p= 11 and 13. (a) Determine all the squares modulo p in
(Z/pZ)∗. (b) Using this determine the value of the Legendre
symbol(a/p)for all a∈(Z/pZ)∗. (c) For all a∈(Z/pZ)∗, compute
a^((p−1)/2) and confirm that a^((p−1)/2)=(a/p).
find the probabilities for each using the standard normal
distribution. p(0<z<0.95), p(0<z<1.96),
p(-1.38<z<0), p(z>2.33), p(z<-1.51),
p(1.56<z<2.13), p(z<1.42)
Explain the procedure
for testing a hypothesis using the P-value approach? What is the
criterion for judging whether to reject the null hypothesis?
6. What does the level
of significance represent in a test of hypothesis? Give an
example.
7. Explain the
difference between "accepting" and "not rejecting" a null
hypothesis.
Suppose you are climbing a hill whose shape is given by the
equation
z = 1400 −
0.005x2 −
0.01y2,
where x, y, and z are measured in
meters, and you are standing at a point with coordinates (60, 40,
1366). The positive x-axis points east and the positive
y-axis points north.
(a) If you walk due south, will you start to ascend or
descend?
At what rate?
vertical meters per horizontal meter
(b) If you walk northwest, will...
Find the general solution of the given system using the
characteristic equation
dxdt=6x-y
dydt=5x+2y
Find the general solution of the given system using the
characteristic equation
dxdt=6x-y
dydt=5x+2y
Most scientists use the p<.05 criterion to determine if their
findings are significant. Describe cases where you would prefer
them to be more lenient (e.g., p<.10) or cases where you prefer
them to be more cautious (e.g., p<.01).