I need help with the following problems:

Question 1:

a) Find the Fourier Transform of

http://i82.photobucket.com/albums/j256/atwinix/Q1.jpg

b) Determine the limit of this transform as http://i82.photobucket.com/albums/j256/atwinix/e.jpg and discuss the result

Question 2:

Solve for Y(x) the integral equation

http://i82.photobucket.com/albums/j256/atwinix/Q2.jpg

and verify the solution by direct substitution

Question 3:

Use the time-shift property to calculate the Fourier transform of the double pulse defined by

http://i82.photobucket.com/albums/j256/atwinix/Q3.jpg

Question 4:

Given that

http://i82.photobucket.com/albums/j256/atwinix/Q4.jpg

a) Draw the graph off(t)

b) Expressf(t)in terms of the Heaviside unit step function

c) Find the Fourier transform off(t)

Thanks in advance for all the valuable help. It is most appreciated.