Option 14 DHS 4.2

№1.14. Build the surface and determine their type a) 5x2 - y2 - 15z2 + 15 = 0; b) x2 + 3z = 0;
No. 2.14. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture: a) y2 = –4z; Oz; b) 3y2 + z2 = 6; Oy.
No. 3.14. Build a body bounded by the specified surfaces:
a) 2z = x2 + y2; z = 0; x = 2; y = 3; x = 0; y = 0.
b) x2 + y2 = 4x; z = 0; z = x.