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In: Advanced Math

Consider the solid S with the following properties: • The base of S is the triangle...

Consider the solid S with the following properties: • The base of S is the triangle T with vertices (0, 0),(1, 0), and (0, 1). • When S is sliced perpendicularly to the x-axis, it has square cross sections.

(a) (4 points) Sketch the base T and determine the equations of its three edges.

(b) (3 points) Set up an integral to compute the volume of S.

(c) (3 points) Evaluate the integral from part (b).

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