SOLUTION: calculate points of intersection of two curves y=2X^2 and x=16y^2.make a neat sketch of two curves and show the Area bounded by the curves in the first quadrant.show the representa

Question 1099223: calculate points of intersection of two curves y=2X^2 and x=16y^2.make a neat sketch of two curves and show the Area bounded by the curves in the first quadrant.show the representative strip/element that you will use to calculate the volume ( use she'll method ) of the solid generated when the area bounded by the curves rotated about the y-axis
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Substituting,

Two solutions:
where then
and

} and
So the points of intersection are,
(,) and (,)
.
.
.
.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
calculate points of intersection of two curves y=2X^2 and x=16y^2. make a neat sketch of two curves and show the Area bounded by the curves in the first quadrant. show the representative strip/element that you will use to calculate the volume ( use she'll method ) of the solid generated when the area bounded by the curves rotated about the y-axis
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calculate points of intersection of two curves y=2X^2 and x=16y^2.
--- Can you do that?
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make a neat sketch of two curves and show the Area bounded by the curves in the first quadrant.
DL the FREE graph software at
www.padowan.dk
Use Ins, enter 2x^2
--
Use F6, enter x = 16y^2
Pick a different color
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show the representative strip/element that you will use to calculate the volume ( use she'll method ) of the solid generated when the area bounded by the curves rotated about the y-axis
---
It's the shell method.
Can you do that?

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