IDZ Ryabushko 4.2 Variant 9
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№1 Build surfaces and determine their appearance: a) x2 = 8 (y2 + z2); b) 2x2 + 3y2 - z2 = 18.
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 = 3z; 0z; b) 2x2 + 3z2 = 6; Ox.
№3 Build a body bounded by the indicated surfaces: a) z = x2 + 3y2; z is 0; x is 1; y = x; y = 0.
b) z = 8 (x2 + y2) + 3; z = 16x + 3.
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 = 3z; 0z; b) 2x2 + 3z2 = 6; Ox.
№3 Build a body bounded by the indicated surfaces: a) z = x2 + 3y2; z is 0; x is 1; y = x; y = 0.
b) z = 8 (x2 + y2) + 3; z = 16x + 3.
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