Ryabushko A.P. IDZ 4.2 option 5

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№1.5. Build the surface and determine their view of a) x2 - 6y2 + z2 = 0; b) 7x2 - 3y2 - z2 = 21.
№2.5. Write the equation and determine the type of the surface obtained by the rotation of the line around the specified axes, make a drawing: a) x2 = 3y; Oy; b) 3x2 + 4z2 = 24; Oz.
№3.5. Build a body bounded by said surfaces: a) y = 3x; y = 0; x = 2; z = xy; z = 0.
b) 8 · (x2 + y2) = z2; x2 + y2 = 1; y ≥ 0; z ≥ 0.

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