[SOLVED] Under what conditions does a data link

> Is the series a ∑k=1∞ 3k/4k convergent? What is the easiest way to answer this question? Can you tell if ∫1∞3x/4x dx is convergent?

> It can be shown that lim b → ∞ be-b = 0. Use this fact and the integral test to show that a ∑k=1∞ k ek is convergent.

> Use the integral test to determine if a ∑k=1∞ e1/k k2 is convergent. Show that the hypotheses of the integral test are satisfied.

> It can be shown that ∫0∞ 3/(9 + x2) dx is convergent. Use this fact to show that an appropriate infinite series converges. Give the series, and show that the hypotheses of the integral test are satisfied.

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2∞ (k + 1)/(k2 + 2k + 1)2

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ (2k + 1)/(k2 + k + 2)

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ k-3/4

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ ke-k2

> Determine the third Taylor polynomial of 1/(5 – x) at x = 4.

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 1/e2k+1

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ e3-k

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 1/(3k)2

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2∞ 1/k(ln k)2

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 1/(2k + 1)3

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2∞ k/(k2 + 1)3/2

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2∞ 1/k√(ln k)

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=1∞ 2/(5k – 1)

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=0∞ 7/(k + 100)

> Use the integral test to determine whether the infinite series is convergent or divergent. (You may assume that the hypotheses of the integral test are satisfied.) ∑k=2 ∞ 1/(k - 1)3

> Use a second Taylor polynomial at x = 0 to estimate the area under the curve y = √(cos x) from x = -1 to x = 1. (The exact answer to three decimal places is 1.828.)

> Determine the sums of the following geometric series when they are convergent. 1 + 1/6 + 1/62 + 1/63 + 1/64 …

> Convince yourself that the equation is correct by summing up the first 999 terms of the infinite series and comparing the sum with the value on the right. ∑x=1 ∞ (-1)x+1 / x = ln 2

> Convince yourself that the equation is correct by summing up the first 999 terms of the infinite series and comparing the sum with the value on the right. ∑x=1 ∞ 1/x2 = π2/6

> The sum of the first n odd numbers is n2; that is, ∑x=1 n (2x - 1) = n2. Verify this formula for n = 5, 10, and 25.

> Verify the formula ∑ x=1 n x = n(n + 1) / 2 for n = 10, 50, and 100.

> The calculator screen computes a partial sum of an infinite series. Write out the first five terms of the series and determine the exact value of the infinite series.

> What is the exact value of the infinite geometric series whose partial sum appears at the second entry in Fig. 2? Figure 2:

> What is the exact value of the infinite geometric series whose partial sum appears at the first entry in Fig. 3? Figure 3:

> Show that the infinite series 1 + ½ + 1/3 + ¼ + 1/5 + … diverges.

> Use a second Taylor polynomial at x = 0 to estimate the area under the curve y = ln(1 + x2) from x = 0 to x = 1/2.

> Determine the third Taylor polynomial of the given function at x = 0. f (x) = 1/(x + 2)

> What is routing?

> How does TCP/IP perform address resolution from IP addresses into data link layer addresses?

> How does TCP/IP perform address resolution from URLs into network layer addresses?

> What is address resolution?

> What benefits and problems does dynamic addressing provide?

> What does the transport layer do?

> Briefly define noise.

> Is there any difference in the error rates of lower-speed lines and higher-speed lines?

> Errors normally appear in _____, which is when more than 1 data bit is changed by the error-causing condition.

> Define two fundamental types of errors.

> What are the benefits of cloud computing?

> Which is better, controlled access or contention? Explain.

> Compare and contrast roll-call polling, hub polling (or token passing), and contention.

> Under what conditions is media access control unimportant?

> Show how the word “HI” would be sent using asynchronous transmission using even parity (make assumptions about the bit patterns needed). Show how it would be sent using Ethernet.

> What media access control technique does your class use?

> Are large frame sizes better than small frame sizes? Explain.

> Are stop bits necessary in asynchronous transmission? Explain by using a diagram.

> How do information bits differ from overhead bits?

> What is transmission efficiency?

> How does a thin client differ from a thick client?

> Describe the frame layouts for SDLC, Ethernet, and PPP.

> Which is the simplest (least sophisticated) protocol described in this chapter?

> What is media access control, and why is it important?

> Briefly describe how continuous ARQ works.

> Under what circumstances is forward error correction desirable?

> How does forward error-correction work? How is it different from other error-correction methods?

> How does CRC work?

> Briefly describe how checksum works.

> Briefly describe how even parity and odd parity work.

> Describe three approaches to detecting errors, including how they work, the probability of detecting an error, and any other benefits or limitations.

> Compare and contrast two-tier, three-tier, and n-tier client–server architectures. What are the technical differences, and what advantages and disadvantages does each offer?

> What are the three ways of reducing errors and the types of noise they affect?

> How do amplifiers differ from repeaters?

> Describe four types of noise. Which is likely to pose the greatest problem to network managers?

> What does the data link layer do?

> Briefly describe three important coding schemes.

> What is coding?

> Explain why most telephone company circuits are now digital.

> Clearly explain the differences among analog data, analog transmission, digital data, and digital transmission.

> How do analog data differ from digital data?

> Describe four types of wireless media.

> Which is less expensive: host-based networks or client–server networks? Explain.

> Describe three types of guided media.

> Why is data compression so useful?

> What is oversampling?

> What factors affect transmission speed?

> What is 64-QAM?

> What is quadrature amplitude modulation (QAM)?

> What is a modem?

> Describe the three types of data flows.

> Is the bit rate the same as the symbol rate? Explain.

> Describe how data could be transmitted using a combination of modulation techniques.

> Suppose your organization was contemplating switching from a host-based architecture to client–server. What problems would you foresee?

> Describe how data could be transmitted using phase modulation.

> Describe how data could be transmitted using frequency modulation.

> Describe how data could be transmitted using amplitude modulation.

> What is bandwidth? What is the bandwidth in a traditional North American telephone circuit?

> What are three important characteristics of a sound wave?

> How does bipolar signaling differ from unipolar signaling? Why is Manchester encoding more popular than either?

> What feature distinguishes serial mode from parallel mode?

> How are data transmitted in parallel?

> How does a multipoint circuit differ from a point-to-point circuit?

> What is VoIP?

> What is middleware, and what does it do?

> What is the symbol rate of a digital circuit providing 100 Mbps if it uses bipolar NRz signaling?

> What is the capacity of a digital circuit with a symbol rate of 10 MHz using Manchester encoding?

> What is the maximum data rate of an analog circuit with a 10 MHz bandwidth using 64-QAM and V.44?

Question: Under what conditions does a data link