2) Let ?(?) be a unit step function defined as: ?(?) = 1, −1 ≤ ? ≤ 1
0, ??h??????
a) Sketch?(?−??),where?=0.5 for?=0,?=1,?=2onthesamez-axisversus?(?−??) graph. What do you observe as t increases? How this can be related to the wave motion?
b) Sketch?(?+??),where?=0.5 for?=0,?=1,?=2onthesamez-axisversus?(?+??) graph. Comment on the differences with part (a).
c) Sketch?(?−??)where?=1 for?=0,?=1,?=2onthesamez-axisversus?(?−??) graph. What do you observe for different v values? How this can be related to the speed of the propagation?
Let ?(?) be a unit step function defined as: ?(?)=1, −1≤?≤1 0, ??ℎ?????? a) Sketch ?(?−??), where ?=0.5 for ?=0 , ?=1, ?=2 on the same z-axis versus ?(?−??) graph. What do you observe as t increases? How this can be related to the wave motion? b) Sketch ?(?+??), where ?=0.5 for ?=0 , ?=1, ?=2 on the same z-axis versus ?(?+??) graph. Comment on the differences with part (a). c) Sketch ?(?−??) where ?=1 for ?=0 , ?=1, ?=2...
Also, find Cmn.
Haar wavelets) Let 6 be a function defined by 0(x) = 1 for x € (0,1), and əla) = 0 otherwise. Let y(x) = º(2x) - (2x - 1). Then the Haar wavelets are the functions Umn(x) = 2m/2v(2" x - n), for m, n = 0, #1, #2, .... Sketch a graph of y(x), and then sketch a graph of Umn(x) for m, n = 0, +1, +2. Generally, what is the graph of Umn(x)? If...
- Let X, 1.2.4. U(-1,1) for i € {1, 2, 3). (a) Write down the expected value and variance of X]. Sketch the pdf fxı. [3] (b) Let Y = X1 + X2. Compute the pdf fy of Y and sketch it. Using fy, or otherwise, compute the expected value and variance of Y. (7) (c) Let Z = X1 + X2 + X3 = Y + X3. Using exactly the same technique that you used in part (b), it...
3. Let X.. U(-1,1) for i € {1, 2, 3). (a) Write down the expected value and variance of X,. Sketch the pdf fx. [3] (b) Let Y = X1 + X2. Compute the pdf fy of Y and sketch it. Using fy, or otherwise, compute the expected value and variance of Y. (7) (c) Let Z = X1 + X2 + X3 = Y + X3. Using exactly the same technique that you used in part (b), it can...
Hello, I am struggling to draw
this graph of function defined by integrals, can someone please
explain how using a step by step method and clear hand writing?
3. Let Si(a) j sinfol dt (a) Show that the function Si(x) is increasing at x =-π/2. (b) IsT a stationary point of Si(x)? Justify your claim (c) Given that Si(0) 0, sketch Si() in the region 0 s z 3 3m (a sketch ofican be found in the sin (x can...
**I need a step by step (line by line) solution; each
step of the work must be shown and not just the final answer for me
to receive credit.
(13) The fallout V (in kg per square km) from a volcanic explosion depends on the distance d from the volcano and the time t since the explosion: V = f(d,t) = Ee-d (a) Graph the cross-sections of f when t = 1 and when t = 2 on the same...
rt) dt, where f is the function whose graph is shown. /, 0 Let g(x)- f(t) 2 (a) At what values of x do the local maximum and minimum values of g occur? Xmin xmin = xmax = Xmax (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? (c) On what interval is g concave downward? (Enter your answer using interval notation.) (d) Sketch the graph of g. 0.5 -0.5 2 46...
5. (30) Find the unit step response of the system where its transfer function is defined as s + 10 G(s) = 20 (s2 + 165 + 100)(s + 1)(s + 2) Sketch the time response of this system roughly.
Let X take on values −2, −1, 1, 2 each with probability 0.25. Let Y = X^2 , so that Y takes on values 1, 4 each with probability 0.5. Clearly, since Y is defined in terms of X, then Y is dependent on X. You can show quickly that Cov(X, Y ) = 0, and as a consequence, that ρ = 0. These random variables are uncorrelated, yet dependent.
Let
f be the function defined by F(x)=(1/2)(x+2)^2 for [-2,0) and
2-2sin(sqrtx) for [0, (x^3)/4]. the graph of f is shown in the
figure above. Let R be the regiok bounded by the graph of f and the
x-axis.
for -25=co for osca Let I be the function defined by 1 (2) - {}(2+2) (2-2n The graph of fis shown in the figure above. Let R be the region bounded by the graph off and the ads (a) Find the...