Option 7 DHS 4.2
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№1.7. Build the surface and determine their type a) 4x2 + 6y2 - 24z2 = 96; b) y2 + 8z2 = 20x2.
№2.7. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) x2 + 3z2 = 9; Oz; b) x = 4; z = 6; Oy.
No. 3.7. Build a body bounded by the specified surfaces: a) y = x; y = 0; x = 1; ...; z = 0.
b) x2 + y2 + z2 = 4; x2 + y2 = z2; x ≥ 0; z ≥ 0.
№2.7. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) x2 + 3z2 = 9; Oz; b) x = 4; z = 6; Oy.
No. 3.7. Build a body bounded by the specified surfaces: a) y = x; y = 0; x = 1; ...; z = 0.
b) x2 + y2 + z2 = 4; x2 + y2 = z2; x ≥ 0; z ≥ 0.
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