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Author Topic: P1 Pure maths CIE questions  (Read 688 times)

Offline xxemoxx

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P1 Pure maths CIE questions
« on: January 29, 2010, 01:29:27 pm »
Find the volume when the region bounded by the graphy of y=f(x), the y-axis and the lines y=c and y=d is rotated about the y-axis to form a solid of revolution

f(x) = 1/x + 2
c=3, d=5

source: P1 Pg 262 Q3 part h
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Offline astarmathsandphysics

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Re: P1 Pure maths CIE questions
« Reply #1 on: January 29, 2010, 02:05:00 pm »
Find the volume when the region bounded by the graphy of y=f(x), the y-axis and the lines y=c and y=d is rotated about the y-axis to form a solid of revolution

f(x) = 1/x + 2
c=3, d=5

source: P1 Pg 262 Q3 part h
\int^5_3 x^2 dy =\int^5_3\frac {1}{(y-2)^2} dy =[\frac {-1}{y-2} ]^5_3 =-1/3 +1=2/3
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