If lines are drawn parallel to the coordinate axes through a point P on the parabola y

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If lines are drawn parallel to the coordinate axes through a point P on the parabola y2 = kx, k > 0, the parabola partitions the rectangular region bounded by these lines and the coordinate axes into two smaller regions, A and B.


a. If the two smaller regions are revolved about the y-axis, show that they generate solids whose volumes have the ratio 4:1.


b. What is the ratio of the volumes generated by revolving the regions about the x-axis?image

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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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