Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Textbook Question

Chapter 1.5, Problem 11E

In Problems 11–18, describe verbally the transformations that can be used to obtain the graph of g from the graph of f (see Section 1.2).

11. g(x) = −2^x; f(x) = 2^x

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Chapter 1.5, Problem 10E

Chapter 1.5, Problem 12E

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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.

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Chapter 1 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 1.1 - Matched Problem 1 Sketch the graph of each...Ch. 1.1 - Matched Problem 2 Determine which of the following...Ch. 1.1 - Matched Problem 3 Find the domain of the function...Ch. 1.1 - Matched Problem 4 Use the functions in Example 4...Ch. 1.1 - Matched Problem 5 Find the domains of functions F,...Ch. 1.1 - Matched Problem 6 Repeat Example 6 for f(x) = x2 ...Ch. 1.1 - Matched Problem 7 The financial department in...Ch. 1.1 - To graph the equation y = x3 + 3x, we use...Ch. 1.1 - Prob. 2ED Ch. 1.1 - In Problems 18, use point-by-point plotting to...

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In Problems 11–18, describe verbally the transformations that can be used to obtain the graph of g from the graph of f (see Section 1.2) . 11. g ( x ) = −2 x ; f ( x ) = 2 x

Solution Summary: The author describes the transformations used to obtain the graph of g from f's graph.

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