Find all distinct roots (real or complex) of
z2+(−6+i)z+(25+15i). Enter the roots as a comma-separated list...
Find all distinct roots (real or complex) of
z2+(−6+i)z+(25+15i). Enter the roots as a comma-separated list of
values of the form a+bi. Use the square root symbol '√' where
needed to give an exact value for your answer. z = ???
Find all distinct (real or complex) eigenvalues of A.
Then find the basic eigenvectors of A corresponding to
each eigenvalue.
For each eigenvalue, specify the number of basic eigenvectors
corresponding to that eigenvalue, then enter the eigenvalue
followed by the basic eigenvectors corresponding to that
eigenvalue.
A = 11 −10
17 −15
Number of distinct eigenvalues: ?
Number of Vectors: ?
? : {???}
2-Find the critical numbers of the function. (Enter your answers
as a comma-separated list. Use n to denote any arbitrary
integer values. If an answer does not exist, enter DNE.)
f(θ) = 6 cos(θ) + 3 sin2(θ)
3- Consider the following.
f(x) = x5 − x3 +
9, −1 ≤ x ≤ 1
(a) Use a graph to find the absolute maximum and minimum values
of the function to two decimal places.
maximum
minimum
(b) Use calculus to find the exact...
Solve the given equation. (Enter your answers as a
comma-separated list. Let k be any integer. Round terms to
three decimal places where appropriate. If there is no solution,
enter NO SOLUTION.)
cos2(θ) − cos(θ) − 12 = 0
Solve the given equation. (Enter your answers as a
comma-separated list. Let k be any integer. Round terms to
three decimal places where appropriate. If there is no solution,
enter NO SOLUTION.)
cos(θ) − sin(θ) = 1
Q1-Find all possible time domain signals corresponding
to the following z-transform:
X(z) = (z3 + z2 + 3/2 z + 1/2 ) /
(z3 + 3/2 z2 + 1/2 z)
Q2-A digital linear time invariant filter has the
following transfer function:
H(z) = (5 + 5z-1) / (1 - 3/8 z-1 + 1/16
z-2)
a) Find the impulse response if the filter is causal.
(a) Solve the complex equation (1+i)z^3 - 1+e^i(p=3) = 0 and
list all
possible solutions in Euler’s form with principal arguments.
(b) Express the complex number z =(1-sinq +icosq)^20 in Euler’s
form.