Hyperbolic Function (Example1 and 2)

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Presentation transcript:

Hyperbolic Function (Example1 and 2) HYPERBOLIC FUNCTIONS Syllabus 3.11 Hyperbolic Function (Example1 and 2)

HYPERBOLIC FUNCTIONS Stan Wagon riding his tricycle with square wheels (a mathematician at Macalester College in St. Paul)

Definitions and Identities HYPERBOLIC FUNCTIONS Definitions and Identities

HYPERBOLIC FUNCTIONS We pronounce hyperbolic cosine “kosh x” hyperbolic sine “cinch x” Example: Find

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS 093E2

HYPERBOLIC FUNCTIONS 093E2

HYPERBOLIC FUNCTIONS F092

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS

In simple suspension bridges such as the Capilano Suspension Bridge, where the weight runs parallel to the cables, the cables follow a catenary curve.

Derivatives of Hyperbolic Functions

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS F083

HYPERBOLIC FUNCTIONS

HYPERBOLIC FUNCTIONS F092

HYPERBOLIC FUNCTIONS F093

HYPERBOLIC FUNCTIONS F093

HYPERBOLIC FUNCTIONS F091