Lecture 19 (Calculus) Arc Length, Surface Area, and Inverse Functions

To approximate the length of a curve, the lecture breaks the curve into many small segments and adds up their lengths. The length of one segment Δs_k is obtained from Δx_k and Δy_k by:

1. A.Δs_k = Δx_k + Δy_k
2. B.Δs_k = √(Δx_k² + Δy_k²)
3. C.Δs_k = √(Δx_k · Δy_k)
4. D.Δs_k = (Δx_k² + Δy_k²) / 2