Option 18 DHS 4.2
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DHS - 4.2
№1.18. Build surfaces and determine their appearance a) 4x2 - 6y2 + 3z2 = 0; b) 4x2 - y2 - 3z2 = 12.
№ 2.18. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture: a) x2 = - 5y; Oy; b) 2x2 + 3z = 6; Ox.
No. 3.18. Build a body bounded by the specified surfaces:
a) y = 4x; y = 0; x = 1; z = xy; z = 0.
b) 4 · (x2 + y2) = z2; x2 + y2 = 4; y ≥ 0; z ≥ 0.
№1.18. Build surfaces and determine their appearance a) 4x2 - 6y2 + 3z2 = 0; b) 4x2 - y2 - 3z2 = 12.
№ 2.18. Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, draw a picture: a) x2 = - 5y; Oy; b) 2x2 + 3z = 6; Ox.
No. 3.18. Build a body bounded by the specified surfaces:
a) y = 4x; y = 0; x = 1; z = xy; z = 0.
b) 4 · (x2 + y2) = z2; x2 + y2 = 4; y ≥ 0; z ≥ 0.
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