Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle of (Figure 1). Suppose that Matthew runs with velocity v₁ (m/s) and Jessica with velocity v (m/s). Let f(x, y) be the distance from Matthew to Jessica when Matthew is a meters from P and Jessica is y meters from P. P FIGURE 1 B Show that f(x, y) = x² + y² - 2xy cos 0. • Assume that 0 = π/3. Use the Chain Rule to determine the rate at which the distance between Matthew and Jessica is changing when x = 25, y = 28, va = 5 m/s, and vz = 4 m/s. df dt

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