Ryabushko A.P. IDZ 4.2 option 8

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№1.8. Build the surface and to determine their views as well) 4x2 - 5y2 - 5z2 + 40 = 0; b) y = 5x2 + 3z2.
№2.8. 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) 3x2 - 5z2 = 15; Oz; b) z = - 1; y = 3; Ox.
№3.8. Build a body bounded by said surfaces: a) y = 2x; y = 0; x = 2; z = xy; z = 0.
b) x2 + y2 = z2; x2 + y2 = 1; y ≥ 0; z ≥ 0.

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