IDZ Ryabushko 4.2 Variant 16
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№1 Build surfaces and determine their type a) - 7x2 + 14y2 - z2 + 21 = 0; b) y2 + 2z2 = 6x2.
№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) 2x2 = z; Oz b) x2 + 4z2 = 4; Ox.
№3 Build a body bounded by the indicated surfaces: a) y2 + 4z2 = 8; 16x2 - 49y2 = 784; z ≥ 0.
b) x = 1; y = 3; x + 5y + 10z = 20; x = 0; y = 0; 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) 2x2 = z; Oz b) x2 + 4z2 = 4; Ox.
№3 Build a body bounded by the indicated surfaces: a) y2 + 4z2 = 8; 16x2 - 49y2 = 784; z ≥ 0.
b) x = 1; y = 3; x + 5y + 10z = 20; x = 0; y = 0; z ≥ 0.
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