IDZ Ryabushko 4.2 Variant 10
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№1 Build surfaces and determine their type a) 5z2 + 2y2 = 10x; b) 4x2 - 3y2 - 5z2 + 60 = 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) y2 - 5x2 = 5; Oy; b) y = 3; z is 1; Ox.
№3 Build a body bounded by the indicated surfaces: a) y = 4x; y = 0; x is 1; ...; z = 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) y2 - 5x2 = 5; Oy; b) y = 3; z is 1; Ox.
№3 Build a body bounded by the indicated surfaces: a) y = 4x; y = 0; x is 1; ...; z = 0.
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