Option 15 DHS 4.2

Option 15 DHS 4.2

№1.15. Build the surface and determine their type a) 6x2 + y2 + 6z2 - 18 = 0; b) 3x2 + y2 - 3z = 0.
No. 2.15. Write the equation and determine the type of surface obtained by rotating this line around the specified axis of coordinates, make a picture: a) 7x2 - 5y2 = 35; Ox; b) x = - 1; y = - 3; Oz.
№3.15 Build a body bounded by the specified surfaces:
a) x2 + y2 = 4z2; z = 0; y = x; y = 8x; x = 2; z> 0.
b) x2 + y2 = 8y; z = 0; y + z = 6.