Q. 46 - Calculus

Question

Graph the quadric surfaces given by the equations in Exercises 41–48. 

$9x^2+16y^2+16z^2=144$

Step-by-Step Solution

Answer

The graph is 

Step 1: Given information

The equation is$9x^2+16y^2+16z^2=144$

Step 2: Graph

The equation is 

$$\begin{gathered} 9x^2+16y^2+16z^2=144 \\ \frac{ 9x^2}{144}+\frac{16y^2}{144}+\frac{16z^2}{144}=1 \\ \frac{ x^2}{16}+\frac{y^2}{9}+\frac{z^2}{9}=1 \\ \frac{ x^2}{4^2}+\frac{y^2}{3^2}+\frac{z^2}{3^2}=1 \end{gathered}$$

The graph of the equation is shown below: