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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

Step 1. Given information

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

Step 2. Concept used

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

Step 3. Calculation

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

Let

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Most popular questions from this chapter

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.

$r = \frac{α}{1 + \cos θ}$

Use polar coordinates to graph the conics in Exercises 44–51.

$r = \frac{2}{4 + \sin θ}$

Given two points in a plane, called _______, a hyperbola is the set of points in the plane for which ________.

Let $A > B > 0$ . Show that the distance from any point on the graph of the curve with equation $\frac{x^{2}}{A^{2}} + \frac{y^{2}}{B^{2}} = 1$ to the point $(- C, 0) is D_{2} = \frac{A^{2} + C x}{A^{2}}, where C = \sqrt{A^{2} - B^{2}} .$

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

$θ = π$

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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

Step by step solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

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Most popular questions from this chapter

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