IDZ Ryabushko 4.2 Variant 14
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№1 Build surfaces and determine their type a) 5x2 - y2 - 15z2 + 15 = 0; b) x2 + 3z = 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) y2 = –4z; Oz b) 3y2 + z2 = 6; Oy.
№3 Build a body limited by the indicated surfaces:
a) 2z = x2 + y2; z is 0; x = 2; y = 3; x = 0; y = 0.
b) x2 + y2 = 4x; z is 0; z = 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) y2 = –4z; Oz b) 3y2 + z2 = 6; Oy.
№3 Build a body limited by the indicated surfaces:
a) 2z = x2 + y2; z is 0; x = 2; y = 3; x = 0; y = 0.
b) x2 + y2 = 4x; z is 0; z = x.
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