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Lecture 8 – Hyperbolic Functions

Lecture 8 – Hyperbolic Functions. Functions involving a combination of two exponentials. Applications – heat, electricity, catenary. Derivatives of hyperbolics. Example 1. What is the length of y = cosh x from x = -a to x = a?. Example 2. A power line hangs between two poles 14 m apart

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Lecture 8 – Hyperbolic Functions

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  1. Lecture 8 – Hyperbolic Functions Functions involving a combination of two exponentials. Applications – heat, electricity, catenary

  2. Derivatives of hyperbolics

  3. Example 1 What is the length of y = cosh x from x = -a to x = a?

  4. Example 2 A power line hangs between two poles 14 m apart in the shape of a catenary y = 20 cosh (x/20) -15, where x and y are measured in meters. a) Find the slope where it meets the right pole. b) Find the angle between power line and pole.

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