Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 51, Problem 26A

Solve the following exercises:
A B D E , B C is an extension of AB.
a. If ∠E = 66°3', find ∠A.
b. If ∠A = 19°07', find ∠E.

Chapter 51, Problem 26A, Solve the following exercises: ABDE,BC is an extension of AB. a. If E = 663', find A. b. If A =

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1. 2. Show that the following are not logically equivalent by finding a counterexample: (p^q) →r and (db) V (d←d) Show that the following is not a contradiction by finding a counterexample: (pV-q) AqA (pv¬q Vr) 3. Here is a purported proof that (pq) ^ (q → p) = F: (db) v (bd) = (db) v (bd) =(qVp) A (g→p) = (¬¬q V ¬p) ^ (q→ p) (db) V (db) = =¬(a→p)^(a→p) = (gp) ^¬(a → p) =F (a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex- ample. (b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps with their corresponding laws of propositional logic.
5 Show by multiplying matrices that the following equation represents an ellipse: 5 - -7 I (x)(3)()=30. y) 7 7)

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