   Chapter 10.3, Problem 30E

Chapter
Section
Textbook Problem

# Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates.30. r = 1 − cos θ

To determine

To sketch: The curves for the polar equation r=1cosθ and its Cartesian coordinates.

Explanation

Given:

The polar equation is as below.

r=1cosθ .

Calculation:

Substitute (0) for θ in equation r=1cosθ .

r=1cosθ=1cos(0)=11=0

For the polar equation r=1cosθ values for the Cartesian coordinates curve is tabulated below.

 t r 0 0 0.174611111 0.015205827 0.261916667 0.034104534 0.349222222 0.060360873 0.436527778 0.093774837

Graph:

The curve for the Cartesian coordinates is shown below in figure1.

From the figure 1 , when θ increases from 0 to π2 , the polar curve r increases from 0 to 1 in polar graph

### 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

#### Find f. f(x) = 2x + 3ex

Single Variable Calculus: Early Transcendentals, Volume I

#### True or False: If f′(x) = g′(x), then f(x) = g(x).

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### converges to: 2 the series diverges

Study Guide for Stewart's Multivariable Calculus, 8th 