A $2.8-\mathrm{k} \Omega$ and a $3.7-\mathrm{k} \Omega$ resistor are connected in parallel; this combination is connected in series with a $1.8-\mathrm{k} \Omega$ resistor. If each resistor is rated at $\frac{1}{2} \mathrm{~W}$ (maximum without overheating), what is the maximum voltage that can be applied across the whole network?

One purpose of determining the critical path on a PERT network is to :

a. identify the sequence of tasks that takes the longest to complete.
b. estimate a payment schedule so that a budget can be established.
c. find the sequence of events that is the most expensive to complete.
d. establish a delivery schedule for a just-in-time inventory control program.

Refer to a network G that, in addition to having nonnegative integer capacities $C_{ij}$, has nonnegative integer minimal edge flow requirements $m_{ij}$. That is, a flow F must satisfy $m_{i j} \leq F_{i j} \leq C_{i j}$ for all edges (i, j). Give an example of a network G, in which $m_{i j} \leq C_{i j}$ for all edges (i, j), for which no flow exists. Define $C(\bar{P}, P)=\sum_{i \in \bar{P}} \sum_{j \in P} C_{i j}$, $m(P, \bar{P})=\sum_{i \in P} \sum_{j \in \bar{P}} m_{i j}$, $m(\bar{P}, P)=\sum_{i \in \bar{P}} \sum_{j \in P} m_{i j}$.

A $2.5~\mathrm{k} \Omega$ and a $3.7~\mathrm{k} \Omega$ resistor are connected in parallel; this combination is connected in series with a $1.4~\mathrm{k} \Omega$ resistor. If each resistor is rated at $0.5 \mathrm{~W}$ (maximum without overheating), what is the maximum voltage that can be applied across the whole network?

For each of the following Boolean functions f, design a two-level gating network for f as a minimal sum of products. a) $\mathrm{f} : \mathrm{B} 3 \rightarrow \mathrm{B},$ where f(x, y, z) = 1 if and only if exactly two of the variables have the value 1. b) $f : B 4 \rightarrow B,$ where f(w, x, y,z) = 1 if and only if an odd number of variables have the value 1.

The differential equation that describes the current in an RLC network is

$$3 \frac{d^{2} i}{d t^{2}}+15 \frac{d i}{d t}+12 i=0$$

Given that i(0) = 0, di(0)/dt = 6 mA/s, obtain i(t).

Which preventive, detective, and/or corrective controls would best mitigate the following threats?

k. An attacker gained access to the company’s internal network by installing a wireless access point in a wiring closet located next to the elevators on the fourth floor of a high-rise office building that the company shared with seven other companies.

The netstat command (available on Linux and on Windows) shows the active network connections on a computer. Explain how this command can be used to find out if a particular web page is not closing connections that it opened, or if connection pooling is used, not returning connections to the connection pool. You should account for the fact that with connection pooling, the connection may not get closed immediately.

In Fig. we saw earlier, $C_1=$ $6.00 \mu \mathrm{F}, \quad C_2=3.00 \mu \mathrm{F}$. and $C_3=5.00 \mu \mathrm{F}$. The capacitor network is connected to an applied potential $V_{a b}$. After the charges on the capacitors have reached their final values, the charge on $C_2$ is $30.0 \mu \mathrm{C}$. (a) What are the charges on capacitors $C_1$ and $C_3$ ?

The voltage and current at the terminals of a network are ν = 30 + 60 cos 2000t + 20 sin 8000t V, i = 3 + 4 cos(2000t - 25°) + sin(8000t + 45°) A. The current is in the direction of the voltage drop across the terminals. a) What is the average power at the terminals? b) What is the rms value of the voltage? c) What is the rms value of the current?

A major network is televising the launching of a rocket. A camera tracking the liftoff of the rocket is located at point A, as shown in the accompanying figure, where $\phi$ denotes the angle of elevation of the camera at $A$. How fast is $\phi$ changing at the instant when the rocket is at a distance of $13,000 \mathrm{ft}$ from the camera and this distance is increasing at the rate of $480 \mathrm{ft} / \mathrm{sec}$ ?

An amplifier has an open-loop voltage gain of 90 dB, $R_{i d}=50 \mathrm{k} \Omega,$ and $R_{o}=5000 \Omega$. The amplifier is used in a feedback configuration with a resistive feedback network. (a) What is the largest current gain that can be achieved with this feedback amplifier? (b) What is the largest transconductance that can be achieved with this feedback amplifier?

Identify each prepositional phrase in the following sentences. Then, tell whether it is an *adjective phrase * or an adverb phrase.

Example:The clay in bone china has actually been blended with bone ash. in bone china-adjective phrase, with bone ash-adverb phrase.

Without a password, you cannot access the network.

Some friends of yours work on wireless networks, and they’re currently studying the properties of a network of n mobile devices. As the devices move around (actually, as their human owners move around), they define a graph at any point in time as follows: there is a node representing each of the n devices, and there is an edge between device i and device j of the physical locations of i and are no more than 500 meters apart. (if so, we say that i and ] are "in range" of each other.) They’d like it to be the case that the network of devices is connected at all times, and so they’ve constrained the motion of the devices to satisfy

the following property: at all times, eac~ device i is within 500 meters of at least n/2 of the other devices. (We’ll assume n is an even number.) What they’d like to know is: Does this property by itself guarantee that the network will remain connected? Here’s a concrete way to formulate the question as a claim about graphs. Claim: Let G be a graph on n nodes, where n is an even number. If every node of G has degree at least hi2, then G is connected. Decide whether you think the claim is true or false, and give a proof of either the claim or its negation.