№1 Build surfaces and determine their type a) x2 - 7y2 - 14z2 - 21 = 0; b) 2 y = x2 + 4z2.

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) x2 = - 4z; 0z; b) y2 + 4z2 = 4; Oy.

№3 Build a body limited by the indicated surfaces:
a) y = x; y = 0; x is 1; z = 3x2 + 2y2; z = 0.
b) z = 10 · (x2 + y2) + 1; z = 1 - 20y.