Question 1:
Sketch the function given below.
f(t) = e -20tu(t).
Question 2:
Using the definition of the Laplace transform (not tables), go through all the calculus and algebra to calculate the transform of the above equation.
Question 3:
In class it was stated that
sin (θ) = e jθ - e -jθ/2j.
Using the odd and even properties of the cos and the sin function, and Euler equation, prove this statement.