1. [V] Plot the point with cylindrical coordinates, (r, θ, z) = (2, 4π/3, 1). Then find the rectangular and spherical coordinates of the point. 2. [V] Let P be the point whose rectangular coordinates are (x, y, z) = (−1, −1, 2) Find the cylindrical and spherical coordinates of P.
4. [V] Write the equation z = x^2 + y^2 in cylindrical and in spherical coordinates.
6. [V] Write the equation φ = π/2 in rectangular and in cylindrical coordinates.