   Chapter 10.3, Problem 32E

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.32. r = 1 + 2 cos θ

To determine

To sketch: The curves for the polar equation r=1+2cosθ and its Cartesian coordinates.

Explanation

Given:

The polar equation is as below.

r=1+2cosθ .

Calculation:

Substitute (0) for θ in equation r=1+2cosθ .

r=1+2cosθ=1+2cos(0)=3

For the polar equation r=1+2cosθ values for the Cartesian coordinates curve is tabulated below.

 t r 0 3 0.174611111 2.9695883 0.349222222 2.8792783 0.523833333 2.7318162 0.698444444 2.5316868

Graph:

The curve for the Cartesian coordinates is shown below in figure 1.

From the figure 1, when θ increases from 0 to 2π3 ., the polar curve r decreases from 3 to 0 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 the limit. limx0sin3xsin5xx2

Calculus (MindTap Course List)

Solve the equations in Exercises 126. 4xx313x4x31x31=0

Finite Mathematics and Applied Calculus (MindTap Course List)

True or False: If f(x) = F(x), then baf(x)dx=F(b)F(a).

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

0 1 π It does not exist.

Study Guide for Stewart's Multivariable Calculus, 8th

Express each value as a percent. 23. 320

Mathematics For Machine Technology 