Question: Let a > 0. Show that the volume obtained when the region between y = a x ax 2 and the x-axis is rotated

Let a > 0. Show that the volume obtained when the region between y = a √x − ax2 and the x-axis is rotated about the x-axis is independent of the constant a.

Step by Step Solution

3.51 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Setting a x ax 0 yields x 0 and x 1a Using the w... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!