This is a required assignment worth 15 points (15-points/1000-points). Assignment must be submitted by the due date. No late assignments are allowed. Please discuss the following topics and provide substantive comments to at least two other posts.

Select from the following list four (4) topics and discuss.

The discussion questions this week are from Chapter 2 (Jamsa, 2013).

Chapter 2 topics:

Define and describe PaaS

List the benefits of PaaS

Describe the potential disadvantages of PaaS

Describe how a cloud-based database management system differs from an on-site database.

List the computing resources normally provided with PaaS.

Assume your company must deploy a .NET solution to the cloud. Discuss the options available to developers. Research on the web and estimate the costs associated with deploying a PaaS solution.

Assume your company must deploy a PHP or Java solution to the cloud. Discuss the options available to developers. Research on the web and estimate the costs associated with deploying a PaaS solution.

Note: You are required to use at least two-peer reviewed sources (besides your textbook) to answer the above questions. The initial post is due by Wednesday at 11:59pm ET. You must engage on at least three separate days (by Wednesday for the first post and two additional days of peer engagement). Do not wait until Sunday to engage with peers, this should be an active conversation with your peers. When replying to peers be sure to engage with substantial posts that add to the conversation.

9.17 Let Z ~ N(0, 1). Then, Pr [Z > zo] = (p(z) des -(b(z) dz 20 a. Justify the inequality above. b. Compute the integral, and derive a useful inequality for Gaussian tail probabilities. What is it? C. Use Table C.2 in Appendix C to compare this bound to exact tail probabilities for zo = 1, 2, 3, 4, and 5Problem # 2: Suppose that D is a bounded domain whose boundary is a simple closed contour 8D = C, and that f (z) is analytic on D U C. (a) Show the following \"isoperimetric\" inequality: _ _ Area(D) :33 '3 \"z\" 2 2Length(0) [Hint Consider fc(2 f(z)) dz, and use the estimate on the modulus of a contour integral and exercise #7 page 163 (8th ed) /page 161 (9th ed) (done in the tutorial).] (b) Show that when D is the unit disk, then there is an analytic function f(z) for which equality holds, _ _ Area(D) 2'23 '3 ' \"z\" ' 2Lengthw) An Isoperimetric Problem The perimeter of a triangle with one unit side is P=atb+1 The area of a triangle is (Heron's Formula) A = TV(a+ b+ 1)(-a+b+1)(a-b+1)(a+b-1) A =IV(-a+20262+ 202-6*+26"-1) We will find the triangle with one unit side with the maximum area for a given perimeter. This is called an "isoperimetric" problem, from the Greek words for "same perimeter". 1. Solve for 4 a. Hint 1: for any differentiable function f(x) 20, 4(f(x))= x) 27(x) b. Hint 2: Don't forget the chain rule! 2. Find for which a does 3. Is this an equilateral triangle (i.e. is a = b = 1)?1. Consider a continuous random variable X with probability distribution function V27T Ce-22/ 2 1 20 fx (*) = 0 otherwise. Note that this is not quite a Gaussian random variable. (a) 1 pt - Find the value of C? (b) 2 pt - Find the first and second moments of X. (c) 1 pt - Use the Markov inequality to bound the probability that X 2 100. (d) 1 pt - Use the Chebyshev inequality to bound the probability that X 2 100