6

Question 1

If our Laplace doesn’t factor what should we do?

Answer 1

-Complete the square

Question 2

Whats the inverse Laplace?

Answer 2

-Linear

Question 3

The Laplace ROC: What does the y axis equate to?

Answer 3

-Fourier tranform(omega)

Question 4

If a signal goes on forever and ever (Exponentially growing)?

Answer 4

-Its going to have infinite energy, thus it doesn’t have a Fourier transform.
Hence, we can’t represent it by summations of cosine and sine waves. This is where we use the Laplace transform

Question 5

How can we describe the Laplace transform?

Answer 5

-Its basically a formation which causes a weighted Fourier transform (involves the Fourier transform)

Question 6

What does u(-t) mean for Laplace transform graph?

Answer 6

The Laplace transform is lefted

Question 7

Fins the transfer function?

Answer 7

H(s) = Y(s)/X(s)

Question 8

For partial fractions what do we do when we have a squared bracket on the bottom?

Answer 8

B(s+1)^2 A(s+1)

Question 9

What do the poles have to be in order to be stable?

Answer 9

For a system to be stable, all poles have to be negative

Question 10

If we have an unknown on the numerator, how can we find this value?

Answer 10

Look at the input function and what the s is equal to in that function and whether we can substitute the value for s into there