IDZ Ryabushko 4.2 Variant 17
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№1 Build surfaces and determine their type a) - 3x2 + 6y2 - z2 - 18 = 0; b) x2 - 2y = - z2.
№2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) 2y2 - 5z = 10; Oz b) y = 2; z is 6; Ox.
№3 Build a body bounded by the indicated surfaces: a) z = 3y2; x2 + y2 = 4; z = 0.
№2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) 2y2 - 5z = 10; Oz b) y = 2; z is 6; Ox.
№3 Build a body bounded by the indicated surfaces: a) z = 3y2; x2 + y2 = 4; z = 0.
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