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Contents
Quiz
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Quiz  
Given that,
 , evaluate
The diagram shows part of a curve y = 8/x2. The straight line 2y =
-2x + 9 cuts the curve at P(4, 0.5) and the x-axis at Q. The line x = 2 cuts
the curve at D and x-axis at C. Calculate:
(a)
the area of shaded region
(b)
the volume generated when the region is rotated by 360o about the
x-axis.
Scroll
down for answers...
Use
properties of definite integrals.
(a)
Area of the region
Note
that a small triangle from 4, 4.5 and P is also part of the shaded region.
(b) Volume
of revolution
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