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Mathematics
Mathematics
Problem
Compute the exact length of the curve
y
=
x
3
/
2
y=x^{3/2}
y
=
x
3/2
from
x
=
0
x=0
x
=
0
to
x
=
4
x=4
x
=
4
. a)
4
27
(
10
10
−
1
)
\dfrac{4}{27}\bigl(10\sqrt{10}-1\bigr)
27
4
(
10
10
−
1
)
b)
8
27
(
10
10
)
\dfrac{8}{27}\bigl(10\sqrt{10}\bigr)
27
8
(
10
10
)
c)
8
27
(
10
10
−
1
)
\dfrac{8}{27}\bigl(10\sqrt{10}-1\bigr)
27
8
(
10
10
−
1
)
d)
8
9
(
10
10
−
1
)
\dfrac{8}{9}\bigl(10\sqrt{10}-1\bigr)
9
8
(
10
10
−
1
)
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