A) Change from rectangular to spherical coordinates. (Let ρ ≥ 0 , 0 ≤ θ ≤ 2 π , and 0 ≤ ϕ ≤ π .)
(i) ( 3 , 3 √ 3 , 6 √ 3 )
(ii) ( 0 , − 2 , − 2 )
(iii) ( 0 , 4 √ 3 , 4 )
(iv) ( − 3 , 3 , 3 √ 6 )
B) Find the rectangular coordinates of the point whose spherical coordinates are given.
(i) ( 3 , 0 , 0 )
(ii) ( 6 , π/ 3 , π /4 )