Option 19 DHS 4.2

Option 19 DHS 4.2

№1.19. Build the surface and determine their type a) z = 4 - x2 - y2; b) 3x2 + 12y2 + 4z2 = 48.
№2.19. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) x2 - 9y2 = 9; Ox; b) 3y2 = z; Oz.
№3.19. Build a body bounded by the specified surfaces: a) y = 2x; y = 0; x = 2; z = 2x2 + y2; z = 0.
b) x2 + y2 + z2 = 16; x2 + y2 ≤ 4; x ≥ 0.