Answer to Question #198252 in Calculus for Bedn

Question

Length of Arc 

1. Find the length of arc of the curve 𝑦 = (𝑥/2)^3/2 from the point where 𝑥 = 0 to the point where 𝑥 = 2 . 2. Find the length of arc of the curve 𝑥 = 𝑦^4/4 + 1/8y^2 from the point where 𝑦 = 1 to the point where 𝑦 = 2.

3. Find the length of arc of the curve 𝑦 = 𝑙𝑛(𝑠𝑒𝑐𝑥) from 𝑥 = 0 to 𝑥 = 𝜋/4 .

4. Find the length of arc of the curve 𝑥^2/3 + 𝑦^2/3 = 1 in the first quadrant from the point where 𝑥 = 1/8 to the point where 𝑥 = 1.