Worksheet 6.4 Arc Length - Calculus Maximus Page 4

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Calculus Maximus
WS 6.4: Arc Length
7. (AP BC 2002B-3) (Calculator Permitted) Let R be the region in the first quadrant bounded by the y-
3
 and
3
axis and the graphs of
.
y
4
x x
1
y
x
4
(a) Find the area of R.
(b) Find the volume of the solid generated when R is revolved about the x-axis.
(c) Write an expression involving one or more integrals that gives the perimeter of R. Do not evaluate.
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