IDZ Ryabushko 4.2 Variant 30
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№1 Build surfaces and determine their type a) 27x2 - 63y2 + 21z2 = 0; b) 3x2 - 7y2 - 2z2 = 42.
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 = - 4y; 0z; b) 4x2 + 3z2 = 12; Oz.
№3 Build a body bounded by the indicated surfaces: a) y = 5x; y = 0; x = 3; z = 0. TYPOGRAPHY
b) 4 · (x2 + y2) = z2; x2 + y2 = 4; z ≥ 0; y ≥ 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 = - 4y; 0z; b) 4x2 + 3z2 = 12; Oz.
№3 Build a body bounded by the indicated surfaces: a) y = 5x; y = 0; x = 3; z = 0. TYPOGRAPHY
b) 4 · (x2 + y2) = z2; x2 + y2 = 4; z ≥ 0; y ≥ 0.
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