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Mathematics
Problem
If the function
g
(
x
)
=
{
k
x
+
1
,
0
≤
x
≤
3
m
x
+
2
,
3
<
x
≤
5
g(x)=\begin{cases}k\sqrt{x+1},&0\le x\le 3\\ mx+2,&3<x\le 5\end{cases}
g
(
x
)
=
{
k
x
+
1
,
m
x
+
2
,
0
≤
x
≤
3
3
<
x
≤
5
is differentiable, find the value of
k
+
m
k+m
k
+
m
. a. 2 b.
16
5
\frac{16}{5}
5
16
c.
10
3
\frac{10}{3}
3
10
d. 4
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