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\[ w=f(x,y,z),\quad x=x(t,u,v),\quad y=y(t,u,v),\quad z=z(t,u,v) \nonumber \] and write out the formulas for the three partial derivatives of \(w\). Solution. Starting from the left, the function \(f\) has three independent variables: \(x,\, y\), and \(z\). Therefore, three branches must be emanating from the first node.

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Calculate wavelength with the formula λ = v/f where wavelength equals wave velocity divided by frequency. Solve for velocity or frequency given 2 known variables.

Work (W) is the energy change of a system due to an external force. When work is done on a system, W > 0. When the system does work on the external environment, W 0. How do we calculate work? There are three situations to consider: Constant net force colinear with the displacement; Constant net force non-colinear with the displacement;