Question

please complete all parts

Problem F.7: These are independent problems (a) (5 points) Solve the following integral. (Hint: Think Fourier series.) (cos(nt) - 2sin(5rt)e-Jr dt XCj) (b) (5 points) Find the Fourier transform io of the following signal: 2(t) = sin(4t)sin(30) (c) (5 points) Solve the integral: sin(2t) 4t dt (d) (5 points) Use Parseval's theorem and your Fourier transform table to compute this integral:

Answer 1

Solvtion, Giue) e t e 2- 2- 巳 巳 1-1

b) Gile n FT c onvo ation to urt ㄒ

2 sea usies sinzt d1 sin 2 2t 2

20dH 25 +h d) t2(s) -sit l0Sht ID 2TT 25 th Isllo) 25tt lo 25 th2 米半