Let’s look at a real-world scenario and how the Department of Homeland Security (DHS) plays into it. In the scenario, the United States will be hit by a large-scale, coordinated cyber attack organized by China. These attacks debilitate the functioning of government agencies, parts of the critical infrastructure, and commercial ventures. The IT infrastructure of several agencies are paralyzed, the electric grid in most of the country is shut down, telephone traffic is seriously limited and satellite communications are down (limiting the Department of Defense’s [DOD’s] ability to communicate with commands overseas). International commerce and financial institutions are also severely hit. Please explain how DHS should handle this situation.

You must do the following:

1) Create a new thread. As indicated above, please explain how DHS should handle the situation described in the preceding paragraph.

2) Select AT LEAST 3 other students’ threads and post substantive comments on those threads. Your comments should extend the conversation started with the thread. 

ALL original posts and comments must be substantive. (I’m looking for about a paragraph – not just “I agree.”)

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Let u = <6, -9>, v = <1, -4>. Find u – v.

A) <5, -5>

B) <10, -10>

C) <15, 5>

D) <7, -13>

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Let the monopolist face a demand curveP = 240 – 2QRevenueAssume that the total cost of producing Q 20 unitsof output is given by :C ( Q ) = (3) Q2 + 30Q.CostQuestion 1 : What is the monopolists profit maximizingoutput level ? What price / unit will thismonopolist charge?Question 2: Draw a clearly labelled graph showing themonopolists optimal, profit maximizing outputlevel and price as found in question 1 .[ The following must be in the graph: Marginal Revenue,Demand curve, marginal cost].Question 3 : Does your answer to question I and 2 changeif the cost that the monopolist faces isSoNewC ( Q) = ( 3 ) Q +30 4+ 150ChangesIf so , then redo both questions with the newcost, C . If not, then explain whyquestionsthe new cost structure keeps your analysis in (1)8 ( 2 )valid.

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Let the domain of discourse be the real numbers (R). We define the predicate OnLine(a, b, x, y) to be true iff (x, y) lies on the line with slope a and intercept b (i.e. iff ax+b = y) and the predicate InRectangle(u, v, r, s, x, y) to be true iff (x, y) lies inside an r × s rectangle, which has its bottom left corner at (u, v). Prove the following claim:

Should not need to cite any additional facts about geometry, only the definitions given above and possibly some simple algebra. In addition, here are some hints: • To prove that something exists, we can simply demonstrate an object with that property. For example, if we are asked to prove that ∃x (x > 0), we can simply note that 1 > 0. (Formally, the first claim follows from the second by “Intro ∃”, but that step does not need to be explained in an English proof.)

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 Let T : V → W be a linear map, and let x1,…,xm and y1,…,yn be two lists of vectors in V . Suppose that

(a) x1,…,xm generate KerT, and (b) T(y1),…,T(yn) generate W.

Show that the list x1,…,xm,y1,…,yn generates V .

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