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

Algebra ->  Triangles -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x%5E2
x=16y%5E2
Substituting,
y=2%2816y%5E2%29%5E2
y=2%28256y%5E4%29
y=512y%5E4
512y%5E4-y=0
y%28512y%5E3-1%29=0
Two solutions:
y=0 where then x=0
and
512y%5E3=1
y%5E3=1%2F512
y=1%2F8} and x=16%281%2F8%29%5E2=1%2F4
So the points of intersection are,
(0,0) and (1%2F4,1%2F8)
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Answer by Alan3354(69443) About Me  (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
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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
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It's the shell method.
Can you do that?