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Chapter 9: Q. 24 (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=1+sin3胃

Short Answer

Expert verified

The graph of the equation:

Step by step solution

01

Step 1. Given information.

The equation of the curve:

r=1+sin3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=1+sin3胃is obtained by compressing the the graph of r=sin胃 by factor 13horizontally, then vertically shift the graph by 1unit upward.

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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鈥�31.

directrixx=-1,focus(2,5)

In Exercises 24鈥�31 find all polar coordinate representations for the point given in rectangular coordinates.

3,-3

Complete the definitions in Exercises3-5.

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

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

The region inside the circlex2+y2=1andrightoftheverticallinex=12

In Exercises 24鈥�31 find all polar coordinate representations for the point given in rectangular coordinates.

0,0
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