Question

Reparamerterize the curve r(t) = <(e^(t)*(sin(t)),(e^(t)*(cos(t))> with respect to its arclength measured from (o,1) in the direction of increasing t. Your answer should be a vector-valued function that depends on s.

Answer 1

m waiting on this answer

Answer 2

if this helps s= integral from a to b. ||R'(t)||dt.

Answer 3

i know just that much

Answer 4

||R'(t)||=sqrt((x')^2+(y')^2+(z')^2)

Answer 5

how do you find the arc length? of a parameterized curve?

Answer 6

is it integral F.ds?

Answer 7

in my notes it says dt