   Chapter 10.4, Problem 92E

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 AsymptoteStrophoid r = 2 cos 2 θ sec θ x = − 2

To determine

To Graph:

The graph of polar equation r=2cos2θsecθ by graphing utility and show that given line x=2 is an asymptote of graph.

Explanation

Given:

The name of graph is Strophoid And the polar equation r=2cos2θsecθ

The equation of asymptote x=2

The given equation of hyperbolic spiral is r=2cos2θsecθ

And the given polar equation r=2cos2θsecθ

It can be written as

r=2cos2θsecθ=2cos2θcosθrcosθ=2cos2θ

Since

x=rcosθ

Substitute in above equation,

x=2cos2θ

Take limit,

x=limθ02cos2θ=2(12sin2θ)=24sin2θ=2

Hence,

x=x

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Subtract: (9)(5)

Elementary Technical Mathematics

#### What does the Theorem of Pappus say?

Single Variable Calculus: Early Transcendentals

#### For , f′(x) =

Study Guide for Stewart's Multivariable Calculus, 8th 