Option 8 DHS 4.2

Option 8 DHS 4.2

№1.8. Build the surface and determine their type a) 4x2 - 5y2 - 5z2 + 40 = 0; b) y = 5x2 + 3z2.
№2.8. Write the equation and determine the type of surface obtained by rotating this line around the specified axis of coordinates, make a picture: a) 3x2 - 5z2 = 15; Oz; b) z = - 1; y = 3; Ox.
# 3.8. Build a body bounded by the specified surfaces: a) y = 2x; y = 0; x = 2; z = xy; z = 0.
b) x2 + y2 = z2; x2 + y2 = 1; y ≥ 0; z ≥ 0.