Q. 59 - Calculus

Question

In Exercises 59–62, match the given function of two variables with the surfaces in Figures I–IV and with the level curves in Figures A–D. Make sure you explain your reasoning 

$f(x,y)=x^2-y^2$

Step-by-Step Solution

Answer

The surface for the given function is figure A)

The level curve for the given function is figure A)

Step 1: Given information

We are given a function $f(x,y)=x^2-y^2$

Step 2: We match the level curves for the given function

We use 3D graphing utility to graph the given function 

We get,

Step 3: Find the level curve

The graph can be given as