P1. (6 pts) Consider an IP sub-net 202.115.0.0/23. Answer the following questions a. What is the 32-bit sub-net mask of the network? Please also write down the decimal representation of the sub-net mask. (2 pts) b. How many hosts can this IP sub-net support at most? (1 pts) c. Consider an IP address that belongs to this IP sub-net. What class is this IP address? If the IP address does not belong to any class, what technology is used in...
Linear Algebra Proof
Pon 2. Prove: Additive Inverse of v
(6) Use a proof by contrapositive to prove for all integers a, b and c, if a t be then à f 6. (7) Prove using cases that the square of any integer has the form 4k or 4k +1 for some integer k. (8) Prove by induction that 32n -1 is divisible by 8.
Prove p*-- (Then state which proof technique you used)
3. Prove valid by a deductive proof: 1. S (TR) 2. R R 3. (V S)-(W T)/ .. V D~W 4. Prove valid by a deductive proof: 1. (B. L)VT 2. (BVC) (~LO M) 3.~M /.. T 5. Prove valid by a deductive proof: 1. E.(FVG) 2. (E.G)(HVI) 3. (~HV I)(E . F) /.. H= I
12. Let f be integrable on a closed interval [a, b]. Suppose that there is a real number C such that f(x) 2C for all E a, b (1) Prove that if С > 0, then, is also integrable on [a,b, (6 Marks) (2) If C 0, i, still integrable (assuming f(x) 0 for any x E [aA)? If yes, supply a short proof. If no, give a counterexample. (6 Marks)
12. Let f be integrable on a closed interval...
For what reason do hosts use ICMP? A error reporting B IP addressing С IP tunneling D subnetting
For this chapter the Cauchy-Schwarz inequality can be used (without a proof). (C – S) |u7v|2 < (uTu)(v7v) = ||_||- ||0||?, for all u, v ER", with equality only if u and v are parallel (u= lv, for some scalar 1). For the next three problems, let B be a symmetric and positive definite nxn matrix, and let geRn be a nonzero column vector. Define pu = - gʻg -9, and pB = -B-19. g? Bg P1) Prove that ||...
please proof and explain. thank you 1. Let W be a finitely generated subspace of a vector space V . Prove that W has a basis. 2. Let W be a finitely generated subspace of a vector space V . Prove that all bases for W have the same cardinality.
Write a formal proof: Hint: you will want to prove this by cases on the hypothesis A V B. Notice that we do have rules which allow deduction of B V A from A and from B (rule of addition). (A V B) -> (B V A)