IDZ Ryabushko 4.2 Variant 5
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№1 Construct surfaces and determine their appearance a) x2 - 6y2 + z2 = 0; b) 7x2 - 3y2 - z2 = 21.
No. 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) x2 = 3y; Oy; b) 3x2 + 4z2 = 24; Oz.
№3 Build a body bounded by the indicated surfaces: a) y = 3x; y = 0; x = 2; z is xy; z = 0.
b) 8 · (x2 + y2) = z2; x2 + y2 = 1; y ≥ 0; z ≥ 0.
No. 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) x2 = 3y; Oy; b) 3x2 + 4z2 = 24; Oz.
№3 Build a body bounded by the indicated surfaces: a) y = 3x; y = 0; x = 2; z is xy; z = 0.
b) 8 · (x2 + y2) = z2; x2 + y2 = 1; y ≥ 0; z ≥ 0.
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