(Solved): 1. In this problem, try to write the equations of the given surface in specified coordinates. (a) ...

1. In this problem, try to write the equations of the given surface in specified coordinates. (a) Write an equation for a sphere of radius 6 centered at the origin in cylindrical coordinates. (b) Write an equation for a cylinder of radius 7 centered at the origin and running parallel to the z-axis in spherical coordinates.