2. Determine the exact formula for the following discrete models: 49yn 2 0 [10 marks each] 2. Determine the exact formula for the following discrete models: 49yn 2 0 [10 marks each]
Question 4: [10 Marks: 3, 3, 2, 2] X and Y are discrete random variables with joint distribution given below Y=-1 Y = 0 Y = 1 X= 1 0 1/4 0 X = 0 1/4 1/4 1/4 (a) Determine the conditional expectation E[Y|X = 1]. (b) Determine the conditional expectation E[X Y = y) for each value of y. (c) Determine the expected value of X using conditional expectation results form part (b) above. (d) Now obatin the marginal...
2 2(10). Determine if the following two equations are exact, and solve it if "yes". (a) (? - )dx + (1 - **+ **)dy = 0. (b) (x + tan- y)dx + **dy = 0.
discrete math a. Consider the following rooted tree: 7 10 11 12 i. What is the root? (1 marks) ii. What is the height of the tree? (1 marks) iii. What are the children of the vertex 3? (1 marks) a. Draw the directed graph corresponding to the adjacency matrix (2 marks) [1 0 0 ON 1 2 1 b. Using the adjacency matrix in (a) only, determine the number of walks of length 3 from each vertex to each...
2. Determine cı and c2, 1, and 2 such that the integration formula gives the exact result whenever f(x) is a polynomial of degree three or less.
Q.9(10 Marks ) Determine the exact value of A. log (CSC 510) ac gram - the circle with 0.1 m n m a
QUESTION 2 [25 Marks Determine the Fourier Transform, H(2), of the discrete impulse response h[n]. where ?[n] represents a discrete unit impulse: a. [6 marks] h[n] ?[n+3] + ?[n+2] + ?[n+1 ] + ?[n] + ?[n-1 ] + ?[n-2] + ?[n-3] The sequence h[n] implement a digital filter. Determine the nature of the filter sketch H(Q)). What is then the cut-off frequency if the sampling frequency is 8 kHz? b. [6 marks] v c. Predict the spectral coefficients a of...
Question 7. (15 marks] Consider the discrete time system given by the state equation 07 x4 + 11-18 8/11 - 10/n VIK) = 10 11 **) 1. [3 marks) Determine if the system is (a) Lyapunov state, syptereally ) Bounded input Bounded Output (BIBO) stable. Provide brief explanations 2. (8 marks) Design a discrete-time state feedback control law of the form - Kxkl by finding the gain K to place the closed-loop eigenvalues at 0.5 3. [4 marks) Suppose the...
hello what is the exact meaning of coplanar? Page 5 of 10 14. [2 marks] What is the maximum number of coplanar atoms in XeO2F2? The central atom is underlined. A. 2 B. 3 C.) 4 D. 5 E. Impossible to determine
(a) [2 marks] Find the exact lengths of the following curves by setting up and evaluating the corresponding definite integral. (i) y=1+6.03/2,0 <<1 (ii) y = ln(secx), 0 <r</4
It is a discrete mathematic problem 3. Find the number of solutions of ab+c 10 for each of the following cases 2 a>=0, b>=0, c>=0 rゾ ii. a-4, b>-1, c>-1 3. Find the number of solutions of ab+c 10 for each of the following cases 2 a>=0, b>=0, c>=0 rゾ ii. a-4, b>-1, c>-1