(3) Let C = {000000000000, 001101000011, 110010111100, 111111111111} (a) (3 marks) For all pairs C1, C2...
A length-10 packet of zeros and ones, c-(C1, c2 , . . . , c10), where ci є {0, 1} is trans- mitted over a communication channel. Each bit ci is received in error, i.e., flipped. with probability 0.1 Given that the received packet contains at least 3 bit errors, find the probability that the received packet contains 6 bit errors.
Let R be the region shown above bounded by the curve C = C1[C2.
C1 is a semicircle with center
at the origin O and radius 9
5 . C2 is part of an ellipse with center at (4; 0), horizontal
semi-axis
a = 5 and vertical semi-axis b = 3.
Thanks a lot for your help:)
1. Let R be the region shown above bounded by the curve C - C1 UC2. C1 is a semicircle with centre at...
1. Let C1, C2, and C; be the oriented curves shown in the diagram to the right. (a) Find Sc, f.dř, where F = (42y2 + 2xye**) 7 + (42?y + e*")3. (b) Let C be the curve obtained by traversing C, followed by C2, followed by C3. Find SG.di', where G=(-2y+z)i + (3x + siny);
Let B = {bį, b2} and C = {C1,C2} be bases for R², where b, -6--0--0--01 1 a. Find P BEC [16 b. If [x]c = -3 de=[13] , find [x]
Question 3 [25 points]: Complex integration Subquestions (a), (b), and (c) will use C1 shown in the figure on the left-hand side, whereas subquestion (d) will use C2 shown in the figure on the right-hand side. Im (2) Im (2) SA= 1 → Re (2) → Re (2) 20 = 1 - (a) [3 points) Find a parametric representation for the curve Ci. (b) [7 points] Compute the integral Sc, z dz. (c) [5 points) Compute the integral Se, 22...
please do not copy the answer of another question!!
Exercise 4 Letu (c-c1/ 2 and let c. > c.> 0 be given. Leti-T1qt12 C2: where π2-1-n. (i) Sketch the function u and indicate in your sketch the points (ci, u(c)), ,u()), and (cr, u (a)). (i) Draw the line that connects the two points (c1, u(c)) and (c, u(c2)) and represent that line algebraically. [Hint: Find the slope and intercept in terms of the two points. (a,u(c)) and (q, u(c))...
Question 2: Differential Equations a) (3 points) Find the general solution to the equation. Use C,C1,C2 ... to denote arbitrary constants as necessary. y"(t) = sin6t + 20e b) (5 points) Solve the following separable differential equation for the given initial condition. y')= (1) = 0 c) (5 points) Solve the following first-order linear differential equation for the given initial condition. y't) + 7y - 3,y(0) - 1 d) (2 points) State the equilibrium solution and whether it is stable...
4 + 3 + 2 = 9 marks) Consider a system with transfer function G(s) 6 - 10s $2 + 4s + 6 (a) Find an expression for the step response y(t), t > 0. (b) Does y(t) approach a limit as t+0? If so, evaluate this limit. (C) Will the step response exhibit undershoot? Justify your answer briefly.
3. Let C be a q-ary code of length n. Assume the minimal distance d(C) is an odd number, d(C) = 2r + 1. We showed in class that C can always correct up to r errors. That is, whenever a codeword a from C is sent, and r or fewer errors occur in transmission, the Nearest Neighbour Decoding algorithm will decode the received word b correctly (i.e., will decode b as a). Prove that C cannot always correct r...
Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know that bi--c1 +3c2 and b2-2c1 -4c2 (a) Show that if C is a basis, then B is also a basis (b) Find N, given that x-5but 3b2. (c) Find lyle given that y Зе-5c2.
Question 3 (10 marks) Suppose B-[bi, b2] and Cci,...