IDZ Ryabushko 4.2 Variant 24
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№1 Build surfaces and determine their type a) 8x2 - y2 -2z2 - 32 = 0; b) y - 4z2 = 3x2.
№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) 5z = - x2; Oz b) 3y2 + 18x2 = 1; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 3x; y = 0; x = 2; z is x2 + y2; z = 0.
b) z - 2 = 6 (x2 + y2); z = 1 - 4y.
№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) 5z = - x2; Oz b) 3y2 + 18x2 = 1; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 3x; y = 0; x = 2; z is x2 + y2; z = 0.
b) z - 2 = 6 (x2 + y2); z = 1 - 4y.
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