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
.

A2

B

C

D4

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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