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Chapter 12: Q 51 (page 917)

In Exercises 43-52, sketch the level curves c=-3,-2,-1,0,1,2,3if they exist for the specified function.

fx,y=ycscx

Short Answer

Expert verified

The required level curves c=-3,-2,-1,0,1,2,3for the function f(x,y)=ycscxas shown as following :-

Step by step solution

01

Step 1. Given Information

We have given the following function :-

f(x,y)=ycscx

We have to graph the level curves c=-3,-2,-1,0,1,2,3for this function.

02

Step 2. Graph of level curves

For each value of c, the level curve is the graph of the equation f(x,y)=c.

That is we have to graph the following equations :-

ycscx=-3ycscx=-2ycscx=-1ycscx=0ycscx=1ycscx=2ycscx=3

Then we have the following graph of these level curves :-

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