IDZ Ryabushko 4.2 Variant 2
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№1 Build surfaces and determine their type a) 3x2 + y2 + 9z2 - 9 = 0; b) x2 + 2y2 - 2z = 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) 4x2 - 3y2 = 12; Ox; b) x = 1; y = 2; Oz.
№3 Build a body bounded by the indicated surfaces: a) z2 = x2 + y2; z is 0; y = 2x; y = 4x; x = 3 (z> 0).
b) x2 + y2 = 4y; z is 0; y + z = 5.
№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) 4x2 - 3y2 = 12; Ox; b) x = 1; y = 2; Oz.
№3 Build a body bounded by the indicated surfaces: a) z2 = x2 + y2; z is 0; y = 2x; y = 4x; x = 3 (z> 0).
b) x2 + y2 = 4y; z is 0; y + z = 5.
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