IDZ Ryabushko 4.2 Variant 22
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№1 Build surfaces and determine their type a) x2 = 5 (y2 + z2); b) 2x2 + 3y2 - z2 = 36.
№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 = 5z; Oz b) 3x2 + 7y2 = 21; Ox.
№3 Build a body bounded by the indicated surfaces: a) z = 16x2 + y2; z is 0; y = 2x; y = 0; x = 1.
b) z - 4 = 6 (x2 + y2); z = 4x + 1.
№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 = 5z; Oz b) 3x2 + 7y2 = 21; Ox.
№3 Build a body bounded by the indicated surfaces: a) z = 16x2 + y2; z is 0; y = 2x; y = 0; x = 1.
b) z - 4 = 6 (x2 + y2); z = 4x + 1.
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