IDZ Ryabushko 4.2 Option 21

No. 1 Construct surfaces and determine their type a) 9x2 – 6y2 – 6z2 + 1 = 0; b) 15y = 10y2 + 6y2. No. 2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a drawing: a) 15x2 – 3y2 = 1; Ox; b) x = 3; y = 4; Oz. No. 3 Construct a body limited by the indicated surfaces: a) y = 3x; y = 0; x = 3; z = xy; z = 0. b) 4·( x2 + y2 ) = z2; 4·( x2 + y2 ) = 1; y ≥ 0; z ≥ 0.

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