Question 5

A Calculator MAY NOT be used to help answer this question.

Let R be the region in the first quadrant bounded by  and .

(a) Find the area of region R.

(b) Find the volume of the solid generated when R is revolved about the x-axis.

(c) The section of a certain solid cut by any plane perpendicular to the x-axis is a circle with the ends of its side lying on the parabolas and .  Find the volume of the solid.

Solution

Hey all, MrSiwWy here to give the solution to this question.  I completed a slideshow, and as it says in the final slide, just e-mail me or add an edit here and I'll apply any changes to the slides myself then re-upload it.  Hope everything is vivid enough to comprehend and that the final answers are correct!

| View | Upload your own

Ah yes I forgot to mention, I still have yet to edit the size of the slideshow since I can't find a way to get it to display across the entire slide using slideshare.  Hopefully I can fix that so that any text, calculations or diagrams are more easily distinguishable.