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

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Advance Math

Consider the solid S with the following properties: • The baseof 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 crosssections.

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

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

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

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