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Chapter 9: Q. 39 (page 583)

Identify and graph each polar equation. Verify your graph using a graphing utility

r=3-3sin胃

Short Answer

Expert verified

r=3-3sin胃

Step by step solution

01

Step 1. Given information

r=3-3sin胃

02

Step 2. Replacing θ with -θ for polar axis 

r=3-3sin-胃r=3+3sin胃

graph is symmetric with polar axis.

03

Step 3. Replace θ with π-θ

r=3-3sin蟺-胃r=3-3sin胃

Graph may or may not be symmetric with胃=蟺2

04

Step 4. Replace r with -r

r=3-3sin胃-r=3-3sin胃r=-3+3sin胃

Graph may or may not be symmetric with respect to pole

05

Step 5. Making the graph we get

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Most popular questions from this chapter

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

-2,3蟺4

Find each quantity if v=3i-5jand w=-2i+3j.

3v-2w

Find each quantity if v=3i-5j and w=-2i+3j then 2v+3w

The difference formula for cosine iscosA-B=________.

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

r=2
See all solutions

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