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 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 = 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 = 23, y = 13, va = 4 m/s, and v6 = 5 m/s. defe 3.675 FIGURE 1

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 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 = 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 = 23, y = 13, va = 4 m/s, and v6 = 5 m/s. defe 3.675 FIGURE 1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 45E

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