Math 153 Concept died: 21 Problem 1} Describe the LOWER hemisphere z = {16 x2 yz using spherical coordinates. Problem 2} English descriptions are given for various surfaces. Write an equation for each surface, using the coordinate system of your choosing. ta} A sphere of radius 2, centered at the origin. [b] A sphere of radius 3, centered at (1,-2,3). (c) A cylinder of radius 4, centered on the z-axis. (dl A cylinder of radius 3, centered on the vertical line where: = 1 and y = 2. (e) A cone with vertex at the origin, making an angle of 30 with the xy-plane (that Is, an angle of 60' with the positive z-axis]. [f] A plane parallel to the xy-plane passing through the point (1. -1.?)