Chapter 3, Problems 1,2,4,6,7,8,10,11,12
a) Current exiting the output terminal of the op-amp (and flowing
through
RL) is balanced with currents flowing into the op-amp through the
biasing
terminals.
Chapter 3, Problems 1,2,4,6,7,8,10,11,12
a) Current exi
6.1,2,5,6,7,8,9,12
This answer assumes an amplitude of 2 as in (b). Because of the scaling property of the
Fourier series, this can be changed for arbitrary amplitude to:
Therefore:
d)
Changing the period of the signal does not change the coefficients of
Quiz Sample Solution
Due: February 24, 2009 Problem 1 [20 points] Top Brass Trophy Company makes large championship trophies for youth athletic leagues. They are planning production for fall sports:football and soccer. Each football trophy has a wood base
Quiz Sample
Due: February 24, 2009 Problem 1 [20 points] Top Brass Trophy Company makes large championship trophies for youth athletic leagues. They are planning production for fall sports:football and soccer. Each football trophy has a wood base, engrave
Homework 12 Solutions May 1, 2009 Exercise 1, page 669 Determine the stationary (extreme) points for the following functions: (a) f (x) = x3 + x. (b) f (x) = x4 + x2 . (c) f (x) = 4x4 x2 + 5. Solution: We nd the extreme (stationary) points as the solution
Homework 11 Solutions April 28, 2009 Exercise 5, page 555 The time between arrivals at the game room in the student union is exponential with mean of 10 minutes. (a) What is the arrival rate per hour? (b) What is the probability that no students will arri
Homework 11 Due April 28, 2009 Exercise 5, page 555 The time between arrivals at the game room in the student union is exponential with mean of 10 minutes. (a) What is the arrival rate per hour? (b) What is the probability that no students will arrive at
Homework 10 Solution Due April 21, 2009 Exercise 2, page 376, parts (a) and (d) Develop Branch and Bound (B&B) tree for each of the following problems. For convenience, use x1 as the rst branching variable at the starting node. (a) Maximize z = 3x1 + 2x2
Homework 10 Due April 21, 2009 Exercise 2, page 376, parts (a) and (d) Develop Branch and Bound (B&B) tree for each of the following problems. For convenience, use x1 as the rst branching variable at the starting node. (a) Maximize z = 3x1 + 2x2 , subject
Homework 9 Solution April 14, 2009 Exercise 3, page 352 Suppose you have 7 full water bottles, 7 half-full, and 7 empty. You would like to divide the 21 bottles among three individuals so that each receives 7 bottles with the same quantity of water. Expre
Homework 9 Due April 14, 2009 Exercise 3, page 352 Suppose you have 7 full water bottles, 7 half-full, and 7 empty. You would like to divide the 21 bottles among three individuals so that each receives 7 bottles with the same quantity of water. Expressed
Homework 8 March 31, 2009 Solution to Exercise 2(a), page 241. The problem is the same as the Cable connection for Midwest TV Company with an additional link cfw_5, 6 of length 2. We can apply the minimum spanning tree algorithm starting with any node. It
Figure 1: Midwest TV company cable connections, with added new 2-mile link between nodes 5 and 6. Homework 8 Due March 31, 2009 Exercise 2 part (a), page 241 Determine the minimal spanning tree of the network of Example 6.2-1 (network is shown in Figure 1
Figure 1: From the left to the right are shown the basic feasible solutions for Exercise 1 parts(a)-(c), respectively. Homework 7 March 17, 2009 Exercise 1, page 211. Use only northwest-corner method to generate a basic feasible solution. Solution: The ro
Homework 7 Due March 17, 2009 Exercise 1, page 211. Use only northwest-corner method to generate a basic feasible solution. Exercise 5, page 198 - Solve. Exercise 8(b), page 198 Exercise 5, page 219 Consider the problem in Exercise 2, page 226. Using the
Homework 6 Solution March 10, 2009 Solution to Exercise 1, page 197 (a) False. To balance the transportation model, we need either a dummy source or a dummy destination; but not both. (b) True. (c) True.
Solution to Exercise 5, page 198 - Just set up the
Homework 5 Solution March 3, 2009 Solution to Exercise 4, page 155: (a) maximize z = 5x1 + 2x2 subject to x1 + x2 2 2x1 + 3x2 5 x1 , x2 0. We transform the problem to a standard form, and obtain maximize z = 5x1 + 2x2 subject to x1 + x2 + x3 = 2 2x1 + 3x2
Homework 4 Solution
February 17, 2009 Solution to Exercise 3, page 111 By the two-phase method, we need to maximize z = 2x1 + 3x2 5x3 subject to x1 + x2 + x3 = 7, 2x1 5x2 + x3 10, and xi 0 for all i. We rst transform the problem to standard form: maximize
Homework 4
Due: February 17, 2009 Exercise 3, page 111 Solve Problem 5 (a) of Set 3.4A (page 107) by the two-phase method. Exercise 1, page 118 For the following LP, identify three alternative optimal basic solutions, and then write a general expression f
Homework 3 Solutions
Solution to Exercise 4, page 101: (a) Since we want to maximize x1 , we would like it to be as large as possible while feasible. From the given system of equations, we see that the maximum feasible value of x1 is the minimum of 4/5, 8