Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.1 Functions of Two or More Variables - Exercises - Page 763: 4

Answer

$$6, \quad 3$$

Work Step by Step

Since $ Q(y,z)=y^2+y\sin z $, then $$ Q\left(2,\frac{\pi}{2}\right)=2^2+2\sin \frac{\pi}{2}=4+2=6$$ $$ Q\left(-2,\frac{\pi}{6}\right)=(-2)^2-2\sin \frac{\pi}{6}=4-2.\frac{1}{2}=3$$
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