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State the following statement as a disjunction (in DNF) as well using quantifiers:
There does not exit a woman who has taken a flight on each airline in the world.
Ans: Let us describe the propositions.
Woman (x): "x is woman"
Flight (x, y): "x has taken flight on every airline y in world".
Now the following statement can be expressed as
~[∃x Woman (x) ∧ ∀y Flight (x, y)]
= ~∀y ∃x [Woman (x) ∧ Flight (x, y)]
= ∃y ∀x [~Woman (x) ∨ ~Flight (x, y)]
The Addition Rule: Mutually Exclusive Events P(A or B or C) = P(A) + P(B) + P(C) This can be represented by the Venn diagram as follows:
3x^2+19x-14=0
Utilizes the second derivative test to classify the critical points of the function, h ( x ) = 3x 5 - 5x 3 + 3 Solution T
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