Option 3 idz 4.2 Collection of idz ryabushko

№. 1.3. Construct surfaces and determine their type a) – 5x2 + 10y2 – z2 + 20 = 0; b) y2 + 4z2 = 5x2.
№. 2.3. Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a drawing. a) x2 = – 3z; 0z; b) 3x2 + 5z2 = 15; Ox.
№. 3.3. To build a body that is limited to the specified surfaces of: a) y2 + 3z2 = 6; 3x2 – 25y2 = 75; z ≥ 0.
b) x = 4; y = 2; x + 2y + 3z = 12; x = 0; y = 0; z ≥ 0.