IDZ Ryabushko 4.2 Variant 13
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№1 Build surfaces and determine their type a) –16x2 + y2 + 4z2 - 32 = 0; b) 6x2 + y2 - 3z2 = 0;
№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) z2 = 2y; Oy; b) 2x2 + 3z2 = 6; Oz.
№3 Build a body bounded by the indicated surfaces: a) y = x; y = 0; x = 2; z = 0. TYPOGRAPHY, no upper limit.
a) y = x; x = 2; y = 0; z is 0; b) x + y = 2; ...; z is 2x; z = 0.
№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) z2 = 2y; Oy; b) 2x2 + 3z2 = 6; Oz.
№3 Build a body bounded by the indicated surfaces: a) y = x; y = 0; x = 2; z = 0. TYPOGRAPHY, no upper limit.
a) y = x; x = 2; y = 0; z is 0; b) x + y = 2; ...; z is 2x; z = 0.
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