It is a discrete mathematic problem
It is a discrete mathematic problem 3. Find the number of solutions of ab+c 10 for each of the following cases 2 a&g...
2.49 For each variable, decide if it is discrete or continuous: a. The number of cases of flu diagnosed at a college in a given semester b. The weight, in grams, of a rat's hypothalamus c. The number of teachers, including substitutes, in a school district who are certified to teach high school math d. The number of times that a rat pushes a lever in a Skinner box during a 15-minute period e. How long, in seconds, it takes...
Problem 3. (15 points) Topic: Power and Energy of discrete signals. Find the power of the periodic discrete signal presented below. Answer: P= -10-9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 1
Problem 7.3 (10 points) P-11.3 For each of the following cases, use the table of known Fourier transform pairs to find x(t) when jo (a) X (0) = 0,1 + jw -100.2 (b) X(jw) = 2 + 2 cos(w) (c) X (0) = 1 + 0 2 + jw (d) X(jw) = j8 (6) – 1007) - j8(w + 1007)
a) In each of the following pmfs, find the value of C. i) p(x) Cx, x 1, 2, 3, 4, 5 ii) p(x) C/x, 2,4,8, 16 b) Assume that the pmf of a discrete random variable X is given by px (x) = 20x-, x = 1, 2, 3, Calculate the following probabilities: i) P(X <3) ii) E[X]
3. For each of the following discrete-time sequences: (i) Find the Z-transform (ZT), if it exists, and plot the region of convergence (ROC) in the Z-plane (ii) Find the poles and zeros and plot them in the 2-plane (iii) Determine whether the DTFT of the sequence exists (a) x[n] = 8[n – 1] + 28[n – 3] (b) [n] = (0.9e-j*)" u[n + 2] – 2-ul-n - 1] (c) x[n] = 2-" un + 1]
Do 3 and 4 please Problem 3: Find the ZYZ Euler angle representation of the following rotation matrix. If there is infinite number of solutions, you only need to provide one set of solutions. If there are only two sets of solutions, you need to provide both sets. -0.766 0.6428 0 R=10.6248 0.766 0 Problem 4: Find the ZYZ Euler angle representation of the following rotation matrix. If there is infinite number of solutions, you only need to provide one...
Helpful Formulas: * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series L. n m) L, 2,2 cos ( z) dz = * Find the appropriate form of general solution for each of the following PDEs. (In cases, where 2. relevant find r) and w(r, 0) explicitly for the problem) (0,t)(7,t)0 Useful Formulas/Pacts for PDEs/Fourier Series...
Q3 (3 points) Show that if both AB and B A are defined then AB and BA are square matrices. + Drag and drop your images or click to browse... Q4 (3 points) Let A = (a) be a 2 x 2 matrix. The trace of A. which we denote by tr(A) is a number defined as tr(A) = 0 + 0x2. Prove the following properties of this number for 2 x 2 matrices A and B and a real...
2. In each of the following, find conditions on a, b, and c (if any) such that the system has (i) no solution, (ii) a unique solution, and (iii) infinitely many solutions. (b) Ix-2y = 4 | 2x +y – z = a 2x +az= 6 2y +3z= b | 3x – 4y + 5z = b IX – cz = 1 [3]
this is discrete mathematics question 1. (3 points) Find all integer solutions to 12x + 30y = 100. 2. (3 points) Find all integer solutions to 12x + 30y = 102.