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1. Which of the following graphs have a Hamiltonian path but not a Hamiltonian circuit? (a) K34(b) Q35(c) K5,6(d) K6,6(e) W35(f) none of them [Q1] 2. Which of the following graphs have both an Eulerian circuit and a Hamiltonian circuit? (a) K34(b) Q35(c) K2,3(d) K6,8(e) Q24(f) none of them [Q2]  

Consider the following claim and the statements Claim: For every real number x, if 0 ≤ x ≤ 3, then 15 – 8x + x2 > 0 (a) 0 ≤ x ≤ 3  (b) x < 0 or x > 3 (c) 15 – 8x + x2 > 0 (d) 15 – 8x + x2 ≤ 0 i. What would be the starting assumption in a proof by contrapositive of the statement above? [ContrapositiveAssumption] ii. What would be proven in a proof by contrapositive of the statement, given the assumption? [ContrapositiveConclusion]

Set Theory Questions.   Indicate which of the following statements are true. For any three sets, A, B, and C, if A ⊆ B, then A × C ⊆ B × C.    [Q1] R2 ⊆ R3.   [Q2] A × (B ∪ C) = (A × B) ∩ (A × C) [Q3] (A ∪ B) – (A ∩ B) = A – B. [Q4] A ∩ (B – A) = ∅. [Q5] Cardinality of the power set of the set {∅} is 2. [Q6]

Students are allowed to use 3, 8 1/2 x11  pages, handwritten, typed, or combination of both, front and back for the final exam. 

using full German sentences, write a short essay, between 200 and 300 words, in which you answer the following: what was your opinion of the games? Do you think they are a good way to teach kids to recycle and separate trash? Why or why not? What would you do differently? What worked or did not work?

What is the prefix length notation for the subnet mask 255.255.255.224?  

An employee at a branch office is creating a quote for a customer. In order to do this, the employee needs to access confidential pricing information from internal servers at the Head Office. What type of network would the employee access?  

How many hextets does an IPv6 address have?  

Passwords can be used to restrict access to all or parts of the Cisco IOS. Select the modes and interfaces that can be protected with passwords. (Choose three.)  

What three blocks of addresses are defined by RFC 1918 for private network use? (Choose three.)