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Mathematics
Mathematics
Problem
A function
F
F
F
satisfies
F
(
0
)
=
0
F(0)=0
F
(
0
)
=
0
and
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
where
f
(
x
)
=
{
2
x
+
1
,
x
<
2
,
k
,
x
≥
2.
f(x)= \begin{cases} 2x+1, & x<2,\\ k, & x\ge 2. \end{cases}
f
(
x
)
=
{
2
x
+
1
,
k
,
x
<
2
,
x
≥
2.
For which value of
k
k
k
is
F
F
F
differentiable at
x
=
2
x=2
x
=
2
? a) 6 b) 5 c) 3 d) 4
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