Question

cal 3 - shouln't arc length be sqrt(f'(x)^2 + etc... and not sqrt(f'(x) + etc...??? here look at a pic of my book

Answer 1

shouldn't it be squared.... look at the ex. problem
the problem some how comes up with sqrt(2)..???

Answer 2

yes

Answer 3

yes they should be squared

Answer 4

wtf??? why would the book have such a big error?

Answer 5

\[L = \int\limits_{a}^{b}\sqrt{x'(t)^2+y'(t)^2+z'(t)^2}\]

Answer 6

what book is it?

Answer 7

stewart - calculus - early transcendentals 6e

Answer 8

Didn't I already answer this for you?

Answer 9

It has to be squared; just think of what Euclidean distance is defined.