Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 8 - Further Techniques and Applications of Integration - 8.2 Volume and Average Value - 8.2 Exercises - Page 440: 27

Answer

$\approx 2.0685$

Work Step by Step

Use the formula for average value with a = 3, and b = 8. The average price is: $\frac{1}{8-3}\int^{8}_{3}(x+1)^{\frac{1}{2}}dx=\frac{1}{5}.(\frac{x+1}{\frac{1}{2}+1})^{\frac{3}{2}}|^{8}_{3}\approx 2.0685$
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