Ryabushko A.P. IDZ 4.2 option 19

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№1.19. Build the surface and to determine their views and) z = 4 - x2 - y2; b) 3x2 + 12y2 + 4z2 = 48.
№2.19. 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 - 9y2 = 9; Ox; b) z = 3y2; Oz.
№3.19. Build a body bounded by said surfaces: a) y = 2x; y = 0; x = 2; z = 2x2 + y2; z = 0.
b) x2 + y2 + z2 = 16; x2 + y2 ≤ 4; x ≥ 0.

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