The figure shows the graphs of the functions y₁ = x, y₂ = 1/2x^3/2, y₃ = 1/4x², and y₄ = 1/8 x^5/2 on the interval [0, 4]. To print an enlarged copy of the graph, go to MathGraphs.com.

(a) Label the functions.(b) Without calculating, list the functions in order of increasing arc length.(c) Verify your answer in part (b) by using the integration capabilities of a graphing utility to approximate each arc length accurate to three decimal places.

Transcribed Image Text:

4 3 درا 2 1 1 2 3 4 X