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?

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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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Question Posted: May 07, 2023 01:55 AM

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

Question:

0 A B y² = kx P X

Step by Step Answer:

a Let P be the point xy on the parabola y2kx The lines parallel to the coordinate axes through P hav...View the full answer

Thomas Calculus Early Transcendentals

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