Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle of 0 (Figure 1). Suppose that Matthew runs with velocity v₁ (m/s) and Jessica with velocity v₂ (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. 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 = 18, y = 13, va = 2 m/s, and v₂ = 5 m/s. df dt FIGURE 1 =

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