Ab Math Review Worksheet Page 5
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1
2
3
4
5( )
(
)
=
12. (1998, AB-4) Let f be a function with
f
1
4
such that for all points
, x y on the graph of f the
2
+
3
x
1
slope is given by
.
2
y
x = .
(a) Find the slope of the graph of f at the point where
1
( )
x = , and use it to approximated
(b) Write an equation for the line tangent to the graph of f at
1
f
1.2
.
2
+
dy
3
x
1
( )
=
(c) Find
f x by solving the separable differential equation
with the initial condition
dx
2
y
( )
= .
f
1
4
( )
(d) Use your solution from part (c) to find
.
f
1.2
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