# (a) The red and blue waves in Fig. 15.20 combine so that the displacement of the string...

## Question:

(c) The red and blue waves in fig. 15.21 combine so that the slope of the string at 0 is always zero. To show this mathematically for a wave of arbitrary shape, again let the wave moving to the right in Fig. 15.21 (shown in blue) be given by y, (x, T) = .f(x) at time T. Explain why the Wave moving to the left (shown in red) at this same time This given by Y2(X, T) =.f( -x).

(d) Slow that the total wave function y(x, T) = y, (x, T) + y,(x, T) has zero slope at 0, independent of the form of the function .f(x), as long as .f(x) has a finite first derivative.

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**Related Book For**

## Advanced Accounting

**ISBN:** 978-0077431808

10th edition

**Authors:** Joe Hoyle, Thomas Schaefer, Timothy Doupnik