Question

Mimic the argument in the reading for this section to argue that a reasonable definition for the arc length of a parametric curve $\left(x\right(t),y(t\left)\right)$from $t=a$to $t=b$is

$\underset{n\to \mathrm{\infty }}{lim} \sum _{k=1}^n \sqrt{{\left(\mathrm{\Delta }{x}_k\right)}^2+{\left(\mathrm{\Delta }{y}_k\right)}^2},$

where $∆x_k$and $∆y_k$are defined as in the previous problem.

Short answer

vdd

Step-by-step solution

Step 1. Given Information

ncj