Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.1 - Functions of Several Variables - Exercises 14.1 - Page 787: 23


Refer answer below.

Work Step by Step

a. Domain : The set of all $(x,y)$ corresponding to $x^2+y^2 \lt 16$ . b. Range: $z\geq \dfrac{1}{4}$ c. Level Curves: The level curves are the circles whose center is at (0,0) with radius $r \lt 4$ d. Boundary point lies at the circle $x^2+y^2=9$ e. Open only f. Bounded
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