A model for a power cable suspended between two towers is given.

$y=6+16cosh(\frac{x}{16}),-16x16$

$($a$)$ Graph the model. Find the heights of the cable at the towers and at the midpoint between the towers. $($Round your answers to three decimal places.$)$ height at towers height at midpoint

$($b$)$ Find the slope of the model at the point where the cable meets the right$-$hand tower. $($Round your answer to three decimal places.$)$

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