IDZ Ryabushko 4.2 Variant 26
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№1 Build surfaces and determine their type a) 3x2 - 3y2 - 5z2 + 30 = 0; b) 2x2 + 3z = 0.
No. 2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture. a) 2y2 = 7z; 0z; b) 6y2 + 5z2 = 30; Oy.
№3 Build a body bounded by the indicated surfaces: a) z = 2x2 + 3y2; z is 0; x = 2; y = 1; x = 0; y = 0.
b) x2 + y2 = 6x; z is 0; z = 2x.
No. 2 Write down the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture. a) 2y2 = 7z; 0z; b) 6y2 + 5z2 = 30; Oy.
№3 Build a body bounded by the indicated surfaces: a) z = 2x2 + 3y2; z is 0; x = 2; y = 1; x = 0; y = 0.
b) x2 + y2 = 6x; z is 0; z = 2x.
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