(Solved): Consider the length of the graph of \( f(x)=\frac{5}{x} \) from \( (1,5) \) to \( (5,1) \). (a) Ap ...

Consider the length of the graph of \( f(x)=\frac{5}{x} \) from \( (1,5) \) to \( (5,1) \). (a) Approximate the length of the curve by finding the distance between its two endpoints, as shown in the first figure. (Round your answer to two decimal places.) (b) Approximate the iength of the curve by finding the sum of the lengths of four line sepments, as shown in the second figure. (Round your answer to two decimal places.) (c) Describe how you could continue this process to obtain a more accurate approximation of the length of the curve. Use the Fundamental Theorem of Calculus. Increase the number of line segments. Use the Pythagorean Theorem. Decrease the number of lne segments: