1. For a typical solution of the ideal pendulum differential equation, at which position is the…

1.           For a typical solution of the ideal pendulum differential equation, at which position is the bob moving fastest?

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2.           For a typical solution of the ideal pendulum differential equation, at which position is the bob moving slowest?

3.           For the ideal pendulum, use linearization to determine the type of the upward equilibrium point.

4.           For the ideal pendulum, use linearization to determine the type of the downward equilibrium point.