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Chapter 9: Q. 19 (page 747)

Graph the equation in the 胃r-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.

r=2+sin胃

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

Step 1. Given information

The equation:

r=2+sin胃

02

Step 2. Graph the equation in θr-plane. 

The value of 胃lies on the horizontal axis and rlies on the vertical axis.

The graph of r=2+sin胃 is obtained by shifting the graph of r=sin胃by 2unit, vertically upward.

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Most popular questions from this chapter

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

r=21+cos胃

In Exercises 48鈥�55 convert the equations given in rectangular coordinates to equations in polar coordinates.

x=0

Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression

The integral is12鈭�02蟺(1+sin胃)2d胃

Complete the definitions in Exercises 3-5.

Given a fixed line in the plane, called the ________, and a given fixed point called the _______, a parabola is the set of all points in the plane ________.

In Exercises 48鈥�55 convert the equations given in rectangular coordinates to equations in polar coordinates.

y=mx
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