The system is a two-dimensional coordinate system in which each point on a plane is determined by a from a reference point and an from a reference direction. The reference point is called and the ray from the pole in the reference direction is The radial coordinate is often denoted by r. The angle is often denoted by 0. An equation of the form r-5 represents a and an equation of the form 0=rt/6 represents a ray. In general, curves described by polar coordinates have special names. For instance, consider the Archimedean spiral which was discovered by in 287-212 BC. The equation of the Archimedean spiral is of the form r=a+b0. In the following, we have the graph of r=1+20. The values of 0 run between and .As 0 r increases. So both the radius and angle of the points increase. 40 20 (e from 0 to 8 7) -40 -20 20 20
The system is a two-dimensional coordinate system in which each point on a plane is determined by a from a reference point and an from a reference direction. The reference point is called and the ray from the pole in the reference direction is The radial coordinate is often denoted by r. The angle is often denoted by 0. An equation of the form r-5 represents a and an equation of the form 0=rt/6 represents a ray. In general, curves described by polar coordinates have special names. For instance, consider the Archimedean spiral which was discovered by in 287-212 BC. The equation of the Archimedean spiral is of the form r=a+b0. In the following, we have the graph of r=1+20. The values of 0 run between and .As 0 r increases. So both the radius and angle of the points increase. 40 20 (e from 0 to 8 7) -40 -20 20 20
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(152)
O Homework
UZEM -
Student -
All Courses -
English (en)
As 0
r increases. So both the
radius and angle of the points increase.
20
(8 from 0 to8 7)
-40
20
20
40
20
40
Newton
the pole
the polar axis
point
angle
increases
square
Archimedes
infinity
circle
triangular
zero
polar coordinate
decreases
distance
Next page
ge
Transcribed Image Text:A uzem.altinbas.edu.tr
O Homework
(152)
UZEM -
Student -
All Courses -
English (en) -
The
system is a two-dimensional coordinate system
in which each point on a plane is determined by a
from a reference point and an
from a reference
direction. The reference point is called
and the ray
from the pole in the reference direction is
The radial
coordinate is often denoted by r. The angle is often denoted by 0.
An equation of the form r=5 represents a
and an
equation of the form 0=rt/6 represents a ray. In general, curves
described by polar coordinates have special names. For instance,
consider the Archimedean spiral which was discovered by
in 287-212 BC. The equation of the Archimedean
spiral is of the form r=a+b0. In the following, we have the graph of
r=1+20. The values of 0 run between
and
As e
r increases. So both the
radius and angle of the points increase.
40
20
(e from 0 to 8 m)
-40
-20
20
40
20
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