Thread: Arc Length

Consider the path r(t) = (10t, 5t^2, 5lnt) defined for t > 0.
Find the length of the curve between the points (10, 5, 0) and (20, 20, 5 ln(2)).


Thanks

Originally Posted by jffyx

Consider the path r(t) = (10t, 5t^2, 5lnt) defined for t > 0.
Find the length of the curve between the points (10, 5, 0) and (20, 20, 5 ln(2)).


Thanks

How did you determine the interval of integration?

the path r(t) = (10t, 5t^2, 5lnt) defined for t > 0.
Find the length of the curve between the points (10, 5, 0) and (20, 20, 5 ln(2)).

What value of t makes (10t, 5t^2, 5ln t) equal to (10, 5, 0)? What value of t makes (10t, 5t^2, 5 ln t) equal to (20, 20, 5 ln 2)?