IDZ Ryabushko 4.2 Variant 15
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№1 Build surfaces and determine their type a) 6x2 + y2 + 6z2 - 18 = 0; b) 3x2 + y2 - 3z = 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) 7x2 - 5y2 = 35; Ox; b) x = - 1; y = - 3; Oz.
№3 Build a body limited by the indicated surfaces:
a) x2 + y2 = 4z2; z is 0; y = x; y = 8x; x = 2; z> 0.
b) x2 + y2 = 8y; z is 0; y + z = 6.
№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) 7x2 - 5y2 = 35; Ox; b) x = - 1; y = - 3; Oz.
№3 Build a body limited by the indicated surfaces:
a) x2 + y2 = 4z2; z is 0; y = x; y = 8x; x = 2; z> 0.
b) x2 + y2 = 8y; z is 0; y + z = 6.
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