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=
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2. The depth of a river at a cer...
Mathematics, 01.01.2021 20:00 ryanghost90
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=
− −
2. The depth of a river at a certain point is modeled by the function W defined above, where
W t( )
is measured in feet
and time t is measured in hours.
(a) Find
W ' 8( )
. Using correct units, explain the meaning of
W ' 8( )
in the context of the problem
(b) The graph of
W
is concave down for
3 3.5 t
. Use the line tangent to the graph of
W
at
t = 3
to show that
W (3.5 9 ) .
(c) Find
( )
3
2
1
4
lim
t 2
W t t
→ t
− +
−
.
Answers: 2
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