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Chapter 9: Q. 3 (page 774)

Fill in the blanks to convert between rectangular coordinates and polar coordinates.

r=...............

Short Answer

Expert verified

The value ofr=x2+y2

Step by step solution

01

Step 1. Given information

ris the distance of the point from the origin.

02

Step 2. Convert r into rectangular coordinate. 

Draw a diagram of a circle of radius rand let a pointlocalid="1652261998898" Px,yon the circle

Here in the right angle triangle we can apply Pythagorous theorem:

r2=x2+y2r=x2+y2

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Most popular questions from this chapter

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

Thespiralr=e伪胃for0鈮�胃鈮�2蟺

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

3,-3

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

y=x

Use Cartesian coordinates to express the equations for the ellipses determined by the conditions specified in Exercises 32鈥�37.

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

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