Chain Problem: When a chain hangs under its own weight, its shape is a catenary (from

Chapter 8, Problem 22

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Chain Problem: When a chain hangs under its own weight, its shape is a catenary (from the Latin catina, meaning chain). Figure 8-5g shows a catenary with its vertex on the y-axis. Its equation is y = 0.2(ex + ex) Figure 8-5g where x and y are in feet. Find the length ofthis chain from x = 4 to x = 4. How does thislength compare with that of a parabola, y = ax2 + cwhich has the same vertex and endpoints?

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