Unformatted text preview: right endpoint, and midpoint for Problem 40 part b. ii) How far away does that parabola get from the true cosh curve? Give your answer in feet or as a percent, perhaps. It's probably best to graph: cosh curve  parabola and see how big or big&negative that gets. iii) Find the arc length of the parabola, and compare to the arc length of the true cosh curve. iv) If you already know about Taylor or Maclaurin series, find the Maclaurin series to 2nd order for the cosh curve, and plot that on top of the true cosh curve. Does it overestimate or underestimate the true height of the left and right endpoint? v) Similarly, find the Taylor series (to 2nd order) for the cosh curve at the left or right endpoint, and compare to (i) and (iv) above....
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 '08
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 Taylor Series, Suspension bridge, Hyperbolic function, Catenary, cosh curve

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