№1 Build surfaces and determine their type a) - 4x2 + 12y2 - 3z2 + 24 = 0; b) 2y2 + 6z2 = 3x.

No. 2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture. a) 3x2 = - 2z; 0z; b) 8x2 + 11z2 = 88; Ox.

№3 Build a body bounded by the indicated surfaces: a) 2y2 + z2 = 4; 3x2 - 8y2 = 48; z ≥ 0.
b) x = 1; y = 3; x + 2y + 4z = 24; x = 0; y = 0; z ≥ 0.