3) (21 pts) n:1 Z4) = 200 cos (377 t) Pawer in Rzasr, PRzg=49W Find n...
21. Indicate whether each of the statements is T or F. Explain the reason. (12 pts) c) Vm E Z*,n E Z4 [n |m ^ gcd(m,n) 1] _
21. Indicate whether each of the statements is T or F. Explain the reason. (12 pts) c) Vm E Z*,n E Z4 [n |m ^ gcd(m,n) 1] _
Q8d 2 v120 cos (377 t - 25°) V i-7 cos (377 t+ 25°) A a) Find the power factor of this circuit. pf b) Is this a lagging or leading power factor? ms
A particle's velocity is given by v(t) = 21 + cos(5t). Find the following. (3 pts. each) A) The position function for the particle if its position is 5 when t = 0. B) The acceleration of the particle at I =*
Problem 3 (5 pts). Find solution to = 4uxx -00 <1 00 - <t<oo, cos(x), [17 ut-o = 19191919 Remark. Solution should be represented in the form of the appropriate Fourier integral
(3) An insect crawls along the curve (t) = (sin 21, -cos 21, 48) that has the reference point (0,1,21). (a) Find the unit tangent vector to the curve at t. (b) Find the arc length parametrization of the curve. (c) If the insect starts at the reference point(0, 1, 2n) and walks up the curve a dis- tance of 4V 2x units, what are the insect's final coordinates?
Find the derivative 1.) X(+) = cos(+²) 2.) X(t) = cos(( exp (-+)7²) 3.) × (t) = cos(-exp (+²) 4.) X(t) = cos (exp(+²)) sin(t) s.) X(t) = cos (cos(+)) exp(-t)
?3: (a). Find the Z-Transform of h(t)-1 (?[n] + fin-1] + ?[n-21 + fin-31) (b). Find the unit impulse response corresponding to the following system (c)Plot the region of convergence and the Z transform for ln"un], where uin- 0 elscwhere and a is
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
(24%) Find the Fourier transform of the signals given below: 1) x() 4e U() x(t) = e-3,Cos(12m)U(t) 2) x(t) = 36(1 + 4) + 26(1) + 43(1-5) 3) x[n]=(0.7)"U(n) 4)
3) [10 pts.] Find the Fourier transform of x(t) = cos(4t)[u(t +4) – ut - 4)] Using only the Fourier the transform table and properties
Question 1 10 pts 1. Find the value of vo(t) and io(t) Vg(t) = 400 cos(5000t +30°) v 60 mH 2uF HE 5012 + 100 120 150i6