IDZ Ryabushko 4.2 Variant 3
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№1 Build surfaces and determine their type a) - 5x2 + 10y2 - z2 + 20 = 0; b) y2 + 4z2 = 5x2.
No. 2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture. a) x2 = - 3z; 0z; b) 3x2 + 5z2 = 15; Ox.
№3 Build a body bounded by the indicated surfaces: a) y2 + 3z2 = 6; 3x2 - 25y2 = 75; z ≥ 0.
b) x = 4; y = 2; x + 2y + 3z = 12; x = 0; y = 0; z ≥ 0.
No. 2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture. a) x2 = - 3z; 0z; b) 3x2 + 5z2 = 15; Ox.
№3 Build a body bounded by the indicated surfaces: a) y2 + 3z2 = 6; 3x2 - 25y2 = 75; z ≥ 0.
b) x = 4; y = 2; x + 2y + 3z = 12; x = 0; y = 0; z ≥ 0.
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