i study alone and i'm having difficulties with these issues, please help me!
Questions:
1- Determine which type of central grid is from its curves. (X ^ 2) / (a ^ 2) + (y ^ 2) / (b ^ 2) - (z ^ 2) / (c ^ 2) = -1
2- Prove that rotations in R ^ 2 commute. Ra * Rb = Rb * Ra
3- Prove that roca in R ^ 3 do not commute.
4- How to transform cylindrical coordinates into Cartesian coordinates?
5- ρ sin ϕ = 2
A surface in R ^ 3 is given by coordinate (ρ, θ, ϕ), how to translate into Cartesian coordinates and what is this surface?