A test of your knowledge in math?

Question

We have the cylindrical equation:
r = h Θ

1) What do you call the graph?
2) Convert it into spherical coordinates.
3) In what area of mathematics is this kind of question found?

Thanks...

...easy...

^_^

Answer 1

1) the graph is called a Cylindrical Coordinate Grid
- r is the distance from O to P', the orthogonal projection of the point P onto the XY plane. This is the same as the distance of P to the z-axis.
- θ is the angle between the positive x-axis and the line OP', measured counterclockwise.
- h is the same as z.

2) The three coordinates (ρ, φ, θ) are defined as:
- 0 ≤ ρ is the distance from the origin to a given point P.
- 0 ≤ φ ≤ 180° is the angle between the positive z-axis and the line formed between the origin and P.
- 0 ≤ θ ≤ 360° is the angle between the positive x-axis and the line from the origin to the P projected onto the xy-plane.
- φ is referred to as the zenith or colatitude, while θ is referred to as the azimuth.

Cylindrical coordinates may be converted to spherical coordinates by going to the following website:

http://en.wikipedia.org/wiki/Spherical_coordinate_system

3) Calculus and sometimes in Physics

Answer 2

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Answer 3

your having a laugh