Option 17 DHS 4.2
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№1.17. Build the surface and determine their type a) - 3x2 + 6y2 - z2 - 18 = 0; b) x2 - 2y = - z2.
№2.17. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) 2y2 - 5z = 10; Oz; b) y = 2; z = 6; Ox.
№3.17. Build a body bounded by the specified surfaces: a) z = 3y2; x2 + y2 = 4; z = 0.
b) x + 2y + 3z = 6; 2x = y; 2x + 3y = 6; y = 0; z = 0.
№2.17. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) 2y2 - 5z = 10; Oz; b) y = 2; z = 6; Ox.
№3.17. Build a body bounded by the specified surfaces: a) z = 3y2; x2 + y2 = 4; z = 0.
b) x + 2y + 3z = 6; 2x = y; 2x + 3y = 6; y = 0; z = 0.
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