IDZ Ryabushko 4.2 Variant 23
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№1 Build surfaces and determine their type a) 4x2 + 3y2 = 12x; b) 3x2 - 4y2 - 2z2 + 12 = 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) 15y2 - x2 = 6; 0y; b) x = 5; z is 2; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 3x; x = 3; y = 0; ...; z = 0.
b) ...; z = 5 - x2 - y2.
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) 15y2 - x2 = 6; 0y; b) x = 5; z is 2; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 3x; x = 3; y = 0; ...; z = 0.
b) ...; z = 5 - x2 - y2.
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