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Mathematics
Mathematics
Problem
For
g
(
x
)
=
{
A
∣
x
−
3
∣
+
2
,
x
<
3
(
x
−
3
)
2
+
2
,
x
≥
3
g(x)=\begin{cases}A|x-3|+2,&x<3\\(x-3)^{2}+2,&x\ge 3\end{cases}
g
(
x
)
=
{
A
∣
x
−
3∣
+
2
,
(
x
−
3
)
2
+
2
,
x
<
3
x
≥
3
determine the value of
A
A
A
that makes
g
g
g
differentiable at
x
=
3
x=3
x
=
3
.
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