Option 2 DHS 4.2

Option 2 DHS 4.2

№1.2. Build the surface and determine their type a) 3x2 + y2 + 9z2 - 9 = 0; b) x2 + 2y2 - 2z = 0.
№2.2. Write the equation and determine the type of surface obtained by rotating this line around the specified axis of coordinates, make a picture: a) 4x2 - 3y2 = 12; Ox; b) x = 1; y = 2; Oz.
№ 3.2. Build a body bounded by the specified surfaces: a) z2 = x2 + y2; z = 0; y = 2x; y = 4x; x = 3 (z> 0).
b) x2 + y2 = 4y; z = 0; y + z = 5.