Project 20
MAC 2311
1. Sketch the graph of the function
f
(
x
) = 4
√
x
on the interval
[0
,
16]
. Shade the region
between the
x
axis and the curve on the interval. Assume that the axes measure distance
in hundreds of feet.
Suppose the shaded region is a marsh and the rare
ivorybilled woodpecker is perched on a stump in the
lake at position
(8
,
4)
. Draw it on the graph as well.
Hoping for a prize picture of the bird, you position yourself at the edge of the lake (the point
on the graph) closest to the bird. What are the coordinates of this point?
Show that if the bird had been at the point
(2
,
0)
then the origin is the closest point. How
far out on the
x
axis must the bird be before the origin is no longer the closest point?
2. The EZ Basket Company manufactures cylindrical frames for clothes hampers by connecting
two circular hoops to four vertical support poles (one hoop at each end of the four poles).
The pieces are manufactured from a single
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 Spring '08
 ALL
 Calculus

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