Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 49, Problem 1AR
To determine

(a)

To express: the given problem in algebraic from.

Expert Solution
Check Mark

Answer to Problem 1AR

The required algebraic expression is (x+y)c.

Explanation of Solution

Given problem:

The sum of x and y reduced by c

Calculation:

We need to write the algebraic expression,

  (x+y)cx+yc

Thus, the required algebraic expression is (x+y)c.

To determine

(b)

To express: the given problem in algebraic from.

Expert Solution
Check Mark

Answer to Problem 1AR

The required algebraic expression is abd.

Explanation of Solution

Given problem:

The product of a and b divided by d.

Calculation:

We need to write the algebraic expression,

  (a×b)÷dabd

Thus, the required algebraic expression is abd.

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Let A be a vector space with basis 1, a, b. Which (if any) of the following rules turn A into an algebra? (You may assume that 1 is a unit.) (i) a² = a, b² = ab = ba = 0. (ii) a²=b, b² = ab = ba = 0. (iii) a²=b, b² = b, ab = ba = 0.
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