Answer both problems
please.
Answer both problems please. Problem 3: Accurately sketch the following function. Label all axes. 15 Points t - to...
Answer both problems
please.
Problem 5 Accurately sketch the following function and evaluate the integral 15 Points - (s(6-(4) W 3W x(t) A tri 3W W A tri dt Xo= Problem 6: Accurately sketch the double-sided Amplitude and Phase Spectrum of the following signal. Consider f > f 15 Points A cos(2t ft - <p)cos(2t f,t - <p,) x(t)
DIFFERENTIATION: For the signals x(t) in Problems (1-2), (a) Compute the fomula for and (b) sketch the signal's derivative x'(t) = x(t). If necessary, use the Differentiation Product Rule: (f.g)' = fg + fig', or "RUD", e. g u (t) = 8(t). In your plots, label both axes, and indicate key values of time and amplitude. (1) X(t) = 4 rect ). (Hint: express rect(t/10) in terms of the difference of Two unit step functions.) ( 10 points) (2) X(t)...
7. Graph one complete cycle of the following function. Label the axes and all points you graph. Identify the amplitude, period, increment, vertical translation, and phase shift for the function. 2x A= P= VT = PS = Stunt@hose shit+ x 31 22 Give me the max and min points (label them) and the points of inflection (label them) in ordered pair format: Free Response Perform the indicated operation and write the answer in the form a + bi, where a...
Question #1 [15 points) Consider the following signal, x(t)=rect(t/50) (i) Find X(w) by definition (ii) Sketch the magnitude and phase response of X(w) (iii) Energy of x(t)= Page 1 of 2
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...
Answer all parts and show all detail please.
Problem 4: For the following system uses an Ideal Band Pass Filter with a Gain of 1 () X 2(t) h(t) X Cos (2π 3t) 3 (t) BPF fe 30 Hz BW 12 Hz cos (2π 18 t) cos (2π 12 t) A. Write the equation for D1f) and draw an accurate sketch. 10 Points B. Write the equation for D2(f) and draw an accurate sketch 10 Points B. Write the equation...
Problem 2 (40 points) Suppose that the modulating (message) signal is m(t)-500si ne(4000πt) and the carrier frequency is o20000x rad/s (see the definition of the sinc function at the bottom of the next page). a) Write the mathematical expression of M(o) and sketch it (label the axes carefully). Let qDSB-Sc (t)-2m(t)cos.. Write the mathematical expression of φ)DSB-SC(w) and sketch it (label the axes carefully). b) c) Suppress the USB in the DSB-SC spectrum you sketched in (b) to find the...
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following: (a) Write the formulas for its Z Transform, X(e), and Region of Convergence, RoCr (b) List the values of all poles and all zeros. (c) Sketch the pole zero diagram. Label both axes. Give key values along both axes. sin ( (-n))u-n]. (Hints: cos(π/3) (5) x1n] , 1/2, sin(π/3)-V3/2) ,"
For each signal x(n) in Problems #(1)-(5), use Z Transform Tables to do the following:...
Show all of your work. Label the axes and scale on your graph. The sketch should include at least three . to five points including the points of intersection and at least one point in between The integration techniques used should be clear and easy to follow step by step with all techniques shown in detail, including the substitution method. . . All steps must be shown in your own writing to receive any credit. Circle or box your final...
Problems 27-28. Sketch the graph of the quadratic function. Label the vertex and two additional points. 27) f(x) +4x-3 28) gx) 20+4)-3 10 10 10 x 10 510x -10 -5 10 1of -10 29) Standing atop a 64-foot platform, Susan throws a softball into the air at an initial speed of 48 feet por second. The distance above the ground h at t seconds is given by h-16t2 +48t 64. a) Find the height of the softball after 2 seconds....