Solved: Let be the line of intersection of the planes and

Chapter 17, Problem 17.179

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Let be the line of intersection of the planes and , where is a real number. (a) Find symmetric equations for . (b) As the number varies, the line sweeps out a surface . Find an equation for the curve of intersection of with the horizontal plane (the trace of in the plane ). (c) Find the volume of the solid bounded by and the planes z 0 z 1

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