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Chapter 11: Q. 158E (page 1134)

In the following exercises, graph.

9x2-4y2=36

Short Answer

Expert verified

The graph is below

Step by step solution

01

Step 1. Given information

The equation is 9x2-4y2=36.

Draw the graph.

02

Step 2. Calculation

Divide the equation by 36.

9x236-4y236=3636x24-y29=1

The x2 term is positive, the transverse axis is horizontal.

Here, a2=4鈬�a=卤2

So, the vertices on x- axis are 2,0,-2,0.

Now, b2=9鈬�b=卤3

The vertices on y- axis are 0,3,0,-3.

So asymptote have the equations,

y=32x

y=-32x

03

Step 3. Draw  the graph

Draw the graph using asymptotes.

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