IDZ Ryabushko 4.2 Variant 20
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№1 Build surfaces and determine their type a) 4x2 + 5y2 - 10z2 = 60; b) 7y2 + z2 = 14x2.
№2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) x2 + 2z = 4; Oz b) x = 3; z is −1; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 4x; y = 0; x = 4; z is 0;
b) x2 + y2 + z2 = 9; x2 + z2 = y2; x ≥ 0; y ≥ 0; z ≥ 0.
№2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture: a) x2 + 2z = 4; Oz b) x = 3; z is −1; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 4x; y = 0; x = 4; z is 0;
b) x2 + y2 + z2 = 9; x2 + z2 = y2; x ≥ 0; y ≥ 0; z ≥ 0.
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