IDZ Ryabushko 4.2 Variant 1
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№1 Construct surfaces and determine their appearance a) 4x2 - y2 - 16z2 + 16 = 0; b) x2 + 4z = 0.
№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) y2 = 2z; 0z; b) 9y2 + 4z2 = 36; Oy.
№3 Build a body bounded by the indicated surfaces: a) z = x2 + y2; z is 0; x is 1; y = 2; x = 0; y = 0.
№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) y2 = 2z; 0z; b) 9y2 + 4z2 = 36; Oy.
№3 Build a body bounded by the indicated surfaces: a) z = x2 + y2; z is 0; x is 1; y = 2; x = 0; y = 0.
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