IDZ Ryabushko 4.2 Variant 12
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№1 Construct surfaces and determine their type a) 6x2 - y2 + 3z2 - 12 = 0; b) 8y2 + 2z2 = x.
№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) 5x2 - 6z2 = 30; Ox; b) x = 3; z is −2; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = x; y = 0; x is 1; ...; z = 0.
b) ...; ...; z is 0; x + z = 2.
№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) 5x2 - 6z2 = 30; Ox; b) x = 3; z is −2; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = x; y = 0; x is 1; ...; z = 0.
b) ...; ...; z is 0; x + z = 2.
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