IDZ Ryabushko 4.2 Variant 27
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№1 Build surfaces and determine their type a) 7x2 + 2y2 + 6z2 - 42 = 0; b) 2x2 + 4y2 - 5z = 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) 5x2 - 7y2 = 35; Ox; b) x = 2; y = - 4; Oz.
№3 Build a body bounded by the indicated surfaces: a) 4 · (x2 + y2) = z2; z is 0; y = x; y = 4x; x = 2; (z> 0).
b) x2 + y2 = 4y; z is 0; y + z = 6.
№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) 5x2 - 7y2 = 35; Ox; b) x = 2; y = - 4; Oz.
№3 Build a body bounded by the indicated surfaces: a) 4 · (x2 + y2) = z2; z is 0; y = x; y = 4x; x = 2; (z> 0).
b) x2 + y2 = 4y; z is 0; y + z = 6.
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