Infinite Sum: What Does b Converge To?

Marth361 · 2009-12-12T18:14:31+00:00

Converges to... If "b" is any constant number, what does the infinite sum \sum [(-1)^n * b^(2n+2)] / (2n+2)! converge to (in terms of "b")?

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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Thread 'How does time derivative commute from one variable to another?'

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