Number 6 and 7 피 - [ n ] -2uIn 3 ] uln 5 ] in of δ1n . Problem 5. Express the signal nu-+ -terms Problem 6. Express the signal y[n] = 이n + ll-δ[n] + δ[n-1] + 히n-2] in terms of uln) Problem 7. A signal x(t) is given as follows: r(t) = 2 cos(2mt) + V2 cos(2nt + π/4) + V2 cos(2mt + 3r/4) + 4 cos(2nt + 3r/2), (4) Page 1 of 2 (a) Simplify z(t)...
Part G The phasor method for analyzing oscillations is useful in many areas of physics. A phasor is a rotating vector with constant angular speed w, which can also be defined as a complex number that represents the amplitude and phase of a sinusoid. The standard convention is to use the real part of the phasor to represent the sinusoid. For the circuit in (Figure 1), vg = 2.9 cos( 4 t + 1.08 )V, R= 92, C = 5...
7 8 4 5 6 23 -3 -2-1 12-11-10-0 -8-7-6 -5-4 -2 -3 + function that matches the given graph. If needed, you can enter 3.1416... as pi' in your answer, otherwise use at least 3 decimal digits. The curve above is the graph of a sinusoidal function. It goes through the points (-8,0) and (2, 0). Find a sinusoidal Preview f(z)= Get help: Video License 7 8 4 5 6 23 -3 -2-1 12-11-10-0 -8-7-6 -5-4 -2 -3 +...
Problem 5. Prove that parametric equations: x a-cosh(s) (a > 0) or back half(a < 0) of hyperboloid of one sheet: Χ t), y b-sinh(s) cos (t) zc-sinh(s) sin( t), (x,y,z) lies on the front half L" a2 b2 c2 Problem 6 What graph of this Compute the arc length : rit)- < sin t, cos t, 2Vt', when 0<t < function: a) Compute the arc length : re)-3cos(9) and 0 < θ < π/2 b) Problem 7. Find parametric...
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)
Problem 5: Noisy Signal A signal generator generates a random sinusoid, X cos (2nt + Θ) whose amplitude is given by a random variable X uniformly distributed between-1 and 1, and phase Θ is an independent random variable which takes each of the following values π 0, π with equal prob- ability. This signal's amplitude is additively corrupted by independent noise YN(0, 0.01) The output amplitude is denoted by Z, where Z-X +Y. Assuming that an estimator of X has...
Number 4 Please 3. In example 4.7, the graph (a traced out with 0<8< . with 7 27 would produce the same full circle. Explain why graphing r s coordinate sy a new 4. Two possible advantages of introducing making previous problems easier to solve and allowin problems which the polar equation is simpler than the rectangular equa tion. Give two examples of polar graphs for which you have tem are examples of graphs fo to be solved. Give two...
Supposez1 =4 cos 3 +isin 3 andz2 =2 cos 6 +isin 6 . Computez1z2. (a) 8(cos?π?+isin?π?) 22 (b) 4(cos?4π?+isin?4π?) 66 (c) 2(cos?π?+isin?π?) 66 (d) cos(π)+isin(π) (e) 8(cos?π?+isin?π?) 66 17. Suppose z1 = 4 (cos (1) + i sin (5)) and z2 = 2 (cos () + i sin (7)). Compute z122. (a) 8(cos (7) + i sin (7)) (b) 4(cos (4) + i sin (*)) (c) 2(cos (7) + i sin ()) (d) cos(T) + i sin(TT) (e) 8(cos (7)...
Consider T:R4 → R3 with 1 [T) 3 2 -4-1 0 0 5 7 8 10 4 3 -20 -6 1 0 0 5 om Find a basis for image(T). What is dim(image(T))? Convert image(T) to relation form.
and a2.4 b1 2 b3 4 bs are all zero. Find the (1 point) a) suppose you're given the following Fourier coemcients ror a function on the interval π παο al as a 5 tollowing Fourier approximations to the Fourier series a> (an cos(n)bn sin(nx)). (z) = Fs(r) (z) and then select the letter of the graph which most closely resembles your graph. (b) Using a calculator graph the Fourier approximation (Click on a graph to enlarge it.) (c) Which...