Let L be the line of intersection of the planes cx + y + z = c
Question:
Let L be the line of intersection of the planes cx + y + z = c and x - cy + cz = -1, where c is a real number.
(a) Find symmetric equations for L.
(b) As the number c varies, the line L sweeps out a surface S. Find an equation for the curve of intersection of S with the horizontal plane z = t (the trace of S in the plane z = t).
(c) Find the volume of the solid bounded by S and the planes z = 0 and z = 1.
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Step by Step Answer:
a We find the line of intersection L as in Example 1257b Observe that the point 1 c c lies on both p...View the full answer
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