Q. 42 - Calculus

Question

Graph the quadric surfaces given by the equations 

$z^2=\frac{x^2}{9}+\frac{y^2}{25}$

Step-by-Step Solution

Answer

The surface graph is a cone, as illustrated below.

Step1: Introduction.

Quadric surfaces are described in two dimensions by quadratic equations. Quadrics include spheres and cones.

Step2: Given Information.

Consider the following formula:

$z^2=\frac{x^2}{9}+\frac{y^2}{25}$

The goal is to create a graph of the quadric surface.

Step3: Explanation.

The surface graph is a cone, as illustrated below.