Given the graph below, what is its diameter? v1 v2 e1 e4 e2 v4 v3 e3 A) 1 в 2 с) з D) 4

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A: Given, total question = 12 correct question = 9 incorrect question = 12-9 = 3

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Q: 8. How many positive integers less than 1000 a) have exactly three decimal digits? b) have an odd…

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Q: . Define r on the power set of {1,2, 3} by ArB → |A| = |B|. Prove that r is an quivalence relation.…

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Q: and g: → 8X-2 Function f and g are defined for xe R by f:x→ 2x + 5 Find x such that (fog)(x)-9. 2

A: Given that  f:2x+5 g:(8x-2)/2 fog(x)=9 To find the value of x

Q: a) Write the proposition for the following English sentence: 1) A) If Benjamin have cough, fever,…

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Q: Exercises: Find the solution of each reenrrence relation. an+2 = 4an+1- 4a, with initial terms a,=5…

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Q: c) Show that the conditional statement [¬p ^ (p V q)] using truth tables. qis a tautology without

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Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

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Q: b) Let the functions f, g and h be defined as follows: f: R→ R ; f(x) = 4x − 3 g: R → R; g(x) = x² +…

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Q: Let A, B, C, and D be sets. Prove that (a) if CCA and DCB, then COD CANB.

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Q: The general solution of the system r' 2 et %3D 4 1

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Q: QUESTION 6 Prove that for sets A, B and C, that A n (BUC) =(ANB)U (ANC) using just the basic…

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Q: b) Show that the function f(x) = x7 +1 is invertible %3D

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Q: a b Let Pi = с аe f and P, = (b,a, f,c) are the permutations of ba fe с d A = {a, b, c, d, e, f}.…

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Q: Exercises: Find the solution of each recurrence relation. (a) an=7an-1-10an-2 with a,=2 and a,=3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Give an example of a function from the set of all integers to the set of all positive even integers…

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A: The truth table of A=~p∧q∨~r→q∧r is as follows p q r ~p ~p∧q ~r ~p∧q∨~r q∧r ~p∧q∨~r→q∧r T T T F…

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Q: Select the logical expression that is equivalent to:-3x(Q(x)^(P(X)VS(x))) x(Q(x)vP(x)v(x))…

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Q: Q. No. 1: Prove the following using propositional logic: Show that (p → q) = p ^ ¬9 Show that -(p v…

A: Formula: p→q=¬p∨q Formula: ¬a∨b=¬a∧¬b Formula: ¬¬p=p (i) The given statement is: ¬p→q≡p∧¬q By the…

Q: Consider the set A = {2, 3, 5, 7}. Create a relation R on A that is a partial order with at least…

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