The base of a sand pile covers the region in the xy-plane that is bounded by the

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The base of a sand pile covers the region in the xy-plane that is bounded by the parabola x2 + y = 6 and the line y = x. The height of the sand above the point (x, y) is x2. Express the volume of sand as 

(a) A double integral, 

(b) A triple integral. Then 

(c) Find the volume.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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