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MAT 243 Final Exam Review Questions And Accurate Guaranteed Answers Graded A+.

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Consider the statement "Unless you stop smoking, you will get sick". Select which one of the following statements are logically equivalent to that conditional above. - correct answer You will get sick if you keep smoking. Continuing to smoke is suffici...

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  • August 14, 2024
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MAT 243 Final Exam Review

Consider the statement "Unless you stop smoking, you will get sick". Select which one of the following
statements are logically equivalent to that conditional above. - correct answer
You will get sick if you keep smoking.

Continuing to smoke is sufficient to get sick.



How many distinct ternary logical operators are there? A ternary logical operator is an operator that
takes three inputs, p, q and r, and for each truth configuration of the inputs, outputs true or false.



Recall that a logical operator is defined by its truth table. - correct answer 256



Select which one of the following statements is logically equivalent to (p∨q) → r . - correct answer
( p→ r ) ∧ ( q→ r )



Evaluate 1010 OR 0011. Here, OR is the bitwise logical or, acting on bitstrings. - correct answer
1011



Match logically equivalent expressions.

p ↔ q - correct answer ¬ ((p ∨ q) ∧¬ (p ∧ q)).



Match logically equivalent expressions.

p ⊕ q - correct answer (p ∨ q) ∧¬ (p ∧ q).



Match logically equivalent expressions.

p ∨ q - correct answer ¬p → q



Match logically equivalent expressions.

p ∧ q - correct answer ¬(¬p ∨¬ q).

, Determine the truth of the quantified statement

∀x ∃y (xy > x).

The domain of discourse is the set of real numbers. - correct answer False



Determine the truth of the quantified statement

∀x ∃y (xy > x).

The domain of discourse is the set of positive real numbers. - correct answer
True



Enter the smallest integer n so that the following function is O(xⁿ).

f(x)=x²(x³ + 1)+x⁵log(x). - correct answer 6



Check all functions f(x) that are O(x²). - correct answer f(x) = log(xˣ)

f(x) = ⌊x+2⌋ · ⌈x⌉

f(x)=2x^1.9 +2x^-1.9

f(x) = (x⁴+2x+3)/(x²-2)



Given an increasing big-O order of the functions. This means that f1 is O(f2), f2 is O(f3), etc. - correct
answer log(n)

n

nlog(n)

n^2

n!



Check all functions f(x) that are Θ(x²). - correct answer f(x) = ⌊x+2⌋ · ⌈x⌉

f(x) = (x⁴+2x+3)/(x²-2)



Find a big-O estimate of

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