polar Flashcards
1
Q
polar coord x = ?
A
rcosθ
2
Q
polar coord y= ?
A
rsinθ
3
Q
polar coord r^2 = ? (2 ans)
A
x^2 + y^2
arctan (x/y)
4
Q
polar coord x^2 + y^2 = ? (2 ans)
A
r^2
arctan (x/y)
5
Q
polar coord arctan(x/y) = ? (2 ans)
A
r^2
x^2 + y^2
6
Q
polar coord r=a shape ?
A
circle centre 0,0 radius a
7
Q
polar coord θ=α shape ?
A
half line from 0,0 making α angle with initial line
8
Q
polar coord r=aθ shape ?
A
spiral starting at 0,0
9
Q
polar coord how to find a tangent parralel to initial line (x axis)
A
make dy/dθ = 0
10
Q
polar coord how to find a tangent perpendicular to initial line (parallel to y axis)
A
make dx/dθ = 0
11
Q
equation for egg
A
r= (p+qcosθ) p>= 2q
12
Q
equation for dimple
A
r= (p+qcosθ) p<2q
13
Q
what shape is r= (p+qcosθ) if p<2q
A
dimple
14
Q
what shape is r= (p+qcosθ) if p>=2q
A
egg
