Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Exercises and Problems - Page 75: 21

Answer

(a) $g(100)=11,000$ (b) $g(4 / 25)=16.064$ (c) $g\left(1.21 \cdot 10^4\right)=2,541,000$

Work Step by Step

(a) $g(100)=100 \sqrt{100}+100 \cdot 100=100 \cdot 10+100 \cdot 100=11,000$ (b) $g(4 / 25)=4 / 25 \cdot \sqrt{4 / 25}+100 \cdot 4 / 25=4 / 25 \cdot 2 / 5+16=8 / 125+16=16.064$ (c) $g\left(1.21 \cdot 10^4\right)=g(12100)=(12100) \sqrt{12100}+100 \cdot(12100)=2,541,000$
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