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Chapter 9: Q. 27 (page 747)

Graph the equation r = 2 + sin θ in the θr-plane. Label each arc of your curve with the quadrant in which the corre- sponding polar graph will occur.

Short Answer

Expert verified

The graph of the given polar equation is:

Step by step solution

01

Step 1. Given information

A polar equation is given as r=2+\sin \theta

02

Step 2. Concept used

For sketching the graph, first, find different values r for different

03

Step 3. Calculation

The polar equation is given as r=2+\sin \theta

Let

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Most popular questions from this chapter

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.

r=-3secθ

Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.

foci(±2,0), directricesx=±1

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.

r=cos4θ

Find a definite integral expression that represents the area of the given region in the polar plane and then find the exact value of expression

The region bounded enclosed by the spiralr=θand the x-axis on the interval0≤θ≤π

Sketch the graphs of the equations

r=11+cosθand localid="1649854142659" r=11+sinθ

What is the relationship between these graphs? What is the eccentricity of each graph?
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