Option 1 DHS 4.2

Option 1 DHS 4.2

№1.1. Build the surface and determine their type a) 4x2 - y2 - 16z2 + 16 = 0; b) x2 + 4z = 0.
№ 2.1. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a drawing.a) y2 = 2z; 0z; b) 9y2 + 4z2 = 36; Oy.
No.3.1. Build a body bounded by the specified surfaces: a) z = x2 + y2; z = 0; x = 1; y = 2; x = 0; y = 0.