Option 6 DHS 4.2 Collection of DHS Ryabushko

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№1.6. Build the surface and determine their type a) z = 8 - x2 - 4y2; b) 4x2 + 9y2 + 36z2 = 72.
№2.6. Write the equation and determine the type of surface obtained by rotating this line around the specified axis of coordinates, make a picture: a) 2x2 - 6y2 = 12; Ox; b) y2 = 4z; Oz.
№3.6. Build a body bounded by the specified surfaces: a) y = x; y = 0; x = 1; z = x2 + 5y2; z = 0.
b) x2 + y2 + z2 = 9; x2 + y2 ≤ 1; x ≥ 0.

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