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FUNDAMENTOS DE COMPUTACION

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Let P(x , y)P(x , y) be the statement that x + y^2 = 3xy + 9x + y^2 = 3xy + 9, where xx and yy are integers.

Determine the Truth value of the following statement.

\exists y P(9, y)\exists y P(9, y)

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Let P(x)P(x) be the predicate x^2=0x^2=0, where x is an integer.

What is the Truth value of \exists x~P(x)\exists x~P(x).

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Let P(x)P(x) be the statement: "Student xx spends more than 6 hours per week to study Foundations of Computing."

What is the quantified predicate for the following statement?

Not every student spends more than 6 hours per week to study Foundations of Computing.

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Let P(x)P(x) be the predicate x^2=0x^2=0, where x is an integer.

What is the Truth value of \exists ! x~P(x)\exists ! x~P(x).

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Let P(x)P(x) be the predicate x^2>0x^2>0, where x is an integer.

What is the Truth value of \forall x~P(x)\forall x~P(x).

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Let P(x)P(x) be the statement: "Student xx spends more than 6 hours per week to study Foundations of Computing."

What is the quantified predicate for the following statement?

Every student spends more than 6 hours per week to study Foundations of Computing.

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Let P(x)P(x) be the predicate x^2=0x^2=0, where x is an integer.

What is the Truth value of \forall x~P(x)\forall x~P(x).

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Let P(x)P(x) be the statement: "Student xx spends more than 6 hours per week to study Foundations of Computing."

What is the quantified predicate for the following statement?

No student spends more than 6 hours per week to study Foundations of Computing.

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Let P(x)P(x) be the predicate x^2>0x^2>0, where x is an integer.

What is the Truth value of \exists ! x~P(x)\exists ! x~P(x).

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Let P(x, y)P(x, y) be statement 2x + 2y^2 = xy + 82x + 2y^2 = xy + 8, where the domains of xx and yy are integers.

Which choice best describes the following statement?

P(5, y)P(5, y)

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