Worksheet 6.4 Arc Length - Calculus Maximus
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5Calculus Maximus
WS 6.4: Arc Length
Name_________________________________________ Date________________________ Period______
Worksheet 6.4—Arc Length
Show all work. No calculator unless stated.
Multiple Choice
x
x
3
1. (’88 BC) The length of the curve
y
x
from
0
to
2
is given by
2
2
2
6
2
4
(A)
1 x dx
(B)
1 3x dx
(C)
1 9x dx
0
0
0
2
2
4
4
(D)
(E)
2
1 9x dx
1 9x dx
0
0
4
x to
x
4
2. (’03 BC) The length of a curve from
1
4
is given by
1 9x dx
. If the curve contains the
1
point
1, 6 , which of the following could be an equation for this curve?
2
3
3
(A)
y
3 3
x
(B)
y
5
x
(C)
y
6
x
16
9
3
5
(D)
y
6
x
(E)
y
x
x
5
5
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