Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same height at which it is caught by Ryan. It we ignore air resistance; the horizontal range r of the baseball is a function of the initial speed v of the ball when it leaves Nolan's hand and the angle 0 above the horizontal at which it is thrown. Use the accompanying table to estimate the partial derivative of r with respect to v when v = 80 ft/s and 0 = 40°, and also the partial derivative of r with %3D respect to 0 when v 80 ft/s and 0 = 40°. %3! SPEED ν (ft/s ) 75 80 85 90 35 165 188 212 238 40 173 197 222 249 45 176 200 226 253 50 173 197 222 249 ANGLE O (degrees)

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