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# UTD Calculus III PHW 15.6.1?

Sketch the region bounded by the following surfaces. Each pair of the surfaces intersects in a curve. Be sure to include these curves in your sketch. Then use a triple integral to calculate the volume of the solid.

a) z = 10 − (x^2) − (y^2), y = (x^2), x = (y^2), z = 0b) y + z = 4, y = 4 − (x^2), y = 0, z = 0

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