"What do the ""real"" and ""imaginary"" parts of the Laplace and Z transform represent? I understand that the Fourier transform brings you from the time domain into frequency domain, and that the Fourier transform is just the Laplace transform but where sigma, the real valued portion of s = sigma + j omega, is set to 0. So if the imaginary portion, omega, is the frequency, what does the real sigma represent?

Find the volume V of the described solid S
A cap of a sphere with radius r and height h.
V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) ${\displaystyle f\left(x\right)=-3x^2+7}$

c) $f(x)=\frac{x+1}{x+2}$
${\displaystyle d)f\left(x\right)=x^5+1}$

In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?
a. $f(x)=3$
b. $g(x)=5-2x$
c. ${\displaystyle h\left(x\right)=\frac{2}{x}+3}$
d. $t(x)=5(x-2)$

Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a
A)Rhombus;
B)Parallelogram;
C)Kite;
D)none of these

What is the order of the numbers from least to greatest.
${\displaystyle A=1.5\times {10}^3}$,
${\displaystyle B=1.4\times {10}^{-1}}$,
${\displaystyle C=2\times {10}^3}$,
${\displaystyle D=1.4\times {10}^{-2}}$

Write the numerical value of ${\displaystyle 1.75\times {10}^{-3}}$

Solve for y. 2y - 3 = 9
A)5;
B)4;
C)6;
D)3

How to graph ${\displaystyle y=\frac{1}{2}x-1}$?

How to graph ${\displaystyle y=2x+1}$ using a table?

simplify ${\displaystyle \sqrt{257}}$

How to find the vertex of the parabola by completing the square ${\displaystyle x^2-6x+8=y}$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.