Chapter 9 - Multiveriable Calculus - 9.1 Functions of Several Variables - 9.1 Exercises - Page 468: 25

Graph $\mathbf{b}$

\[\begin{align} & \frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}+\frac{{{z}^{2}}}{4}=1 \\ & \text{The graph is of the form }\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}+\frac{{{z}^{2}}}{{{c}^{2}}}=1\text{ which represents an} \\ & \text{ellipsoid.} \\ & \text{The equation matches with the graph }\mathbf{b}\text{.} \\ \end{align}\]