IDZ Ryabushko 4.2 Variant 25
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№1 Build surfaces and determine their type a) x2 - 6y2 + z2 - 12 = 0; b) x - 3z2 = 9y2.
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) 3x2 - 8y2 = 288; 0x b) x = 5; z is −3; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 2x; x = 4; y = 0; ...; z = 0.
b) x + y = 2; ....; z is 12y; z is 0; x = 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) 3x2 - 8y2 = 288; 0x b) x = 5; z is −3; Oy.
№3 Build a body bounded by the indicated surfaces: a) y = 2x; x = 4; y = 0; ...; z = 0.
b) x + y = 2; ....; z is 12y; z is 0; x = 0.
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