   Chapter 10.4, Problem 89E

Chapter
Section
Textbook Problem

# Asymptote In Exercises 93-96, use a graphing utility to graph the equation and show that the given line is anasymptote of the graph.Name of Graph Polar Equation AsymptoteConchoid r = 2 − sec θ x = − 1

To determine

To calculate:

The graph of polar equation r=2secθ by graphing utility and thenshow that given line x=1 is an asymptote of graph.

Explanation

Given:

The graph of conchoids of polar equation r=2secθ is given and equation of asymptote is x=1.Calculation:

The given equation of conchoid is r=2secθ

Use Ti-83 to plot the graph:

Step1: Press MODE Key and select POL mode.

Step2: Press (Y=) Key.

Step3: Type the equation r1=2secθ

Step4: Now press the (GRAPH) key

Graph of equation is shown below & has polar axis symmetry

Given Polar equation is r=2secθ

The polar equationcan be written as also

r=21cosθ

And,

r=2rr

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