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Mathematics
Problem
The function
p
(
x
)
=
k
x
r
p(x)=k x^{r}
p
(
x
)
=
k
x
r
, where
k
k
k
and
r
r
r
are constants, satisfies
p
(
2
)
=
20
p(2)=20
p
(
2
)
=
20
and
p
′
(
2
)
=
30
p'(2)=30
p
′
(
2
)
=
30
. Determine the value of
r
r
r
.
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