NEAP hsc trial 2006 !!!!! (1 Viewer)

darksouljah

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If any of youz have this paper, could you check question 4 b) Intergrating..

The solution on the soultion sheet maybe wrong.

please check and verify.

thanks
 

darksouljah

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The part of the graph of y = 9x^4 that is between (0,0) and (1,9).
The area bounded by the section of the curve between (0,0) and (1,9) and the y-axis is rotated about the y-axis.
Find the exact value of teh volume of the solid of revolution.

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jannny

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y = 9x^4
x^4 = y/9
x = (y/9)^1/4

x^2 = (y/9)^1/2

then just do normal integration with x as the subject.

I got 2/3 * pi units cubed
 

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