EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 3, Problem 7A
To determine

(a)

Find the subtraction of the fractions and reduce to lowest terms where necessary.

To determine

(b)

Find the subtraction of the fractions and reduce to lowest terms where necessary.

To determine

(c)

Find the subtraction of the fractions and reduce to lowest terms where necessary.

To determine

(d)

Find the subtraction of the fractions and reduce to lowest terms where necessary.

To determine

(e)

Find the subtraction of the fractions and reduce to lowest terms where necessary.

To determine

(f)

Find the subtraction of the fractions and reduce to lowest terms where necessary.

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4. 5. 6. Prove that p (gp) is a tautology using the laws of propositional logic. Prove that p((pVq) → q) is a tautology using the laws of propositional logic. Let us say a natural number n is ok if there are two natural numbers whose sum is n and whose product is n. (Convention: the natural numbers consist of 0, 1, 2,...) (a) Give a logical expression that means "n is ok". (b) Show that 0 and 4 are both ok. (c) Give a logical expression that means "every natural number is ok". (d) Give a logical expression that means "it is not the case that every number is ok". Push the negations into the expression as far as possible.
7. Let E(x, y) be a two-variable predicate meaning "x likes to eat y", where the domain of x is people and the domain of y is foods. Write logical expressions that represent the following English propositions: (a) Alice doesn't like to eat pizza. (b) Everybody likes to eat at least one food. (c) Every student likes to eat at least one food other than pizza. (d) Everyone other than Alice likes to eat at least two different foods. (e) There are two different people that like to eat the same food.
Show all steps. Correct answer is 1/2sec(theta) +Ccos(theta)
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