In this worksheet, we will practice finding the length of the curve of a vector-valued function and using that to find the arc-length parameterization of a curve.

Q1:

Calculate the arc length of over the given interval .

A

B

C

D

E

Q2:

Calculate the arc length of over the given interval .

A

B

C

D

E

Q3:

Calculate the arc length of over the given interval
.

A

B

C4

D2

E

Q4:

Parametrize the curve for in using arc length parameterization.

A
for all in

B
for all in

C
for all in

D
for all in

E
for all in

Q5:

Determine the arc length parameterization of the curve for in .

A
for
all in

B
for all
in

C
for all
in

D
for all
in

E
for all in

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