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