Question 1) question about the calculation of multiple variables

consider the surface S : x² + y² + z² - 2z = 0

a) determine the equation corresponding to S in the spherical coordinates , ,

b) provide a sketch of the surface S on the x, y, z axes.

c) provide an outline of the surface corresponding to S obtained in item (a) above using , ,

d) determine the equation of the tangent plane TS_a , to the a = ( 1 /3 , 1 /3, 1 + 1 /3 )

e) determine the symmetric and parametric equations of the normal line to S at point a, to a = ( 1 /3 ,1 /3,1 + 1 /3 )