Mathematics

Round your answer to three decimal places. A car is traveling at 112 km/h due south at a point = kilometer north of an intersection. A police car 5 2 is traveling at 96 km/h due west at a point kilometer due east of the same intersection. At that instant, the radar in the police car measures the rate at which the distance between the two cars is changing. What does the radar gun register? km/h Round your final answers to four decimal places if necessary. Suppose that the average yearly cost per item for producing x items of a business product is 94 C(x) = 11 + The three most recent yearly production figures are given in the table. Year 012 Prod. (x) 7.2 7.8 8.4 Estimate the value of x'(2) and the current (year 2) rate of change of the average cost. x'(2) = ; The rate of change of the average cost is per year. Plate A baseball player stands 5 meters from home plate and watches a pitch fly by. In the diagram, x is the distance from the ball to home plate and is the angle indicating the direction of the player's gaze. Find the rate e' at which his eyes must move to watch a fastball with x'()=-45 m/s as it crosses home plate at x = 0. 05 Player O'= rad/s. Round your answers to the three decimal places. Repo A dock is 1 meter above water. Suppose you stand on the edge of the dock and pull a rope attached to a boat at the constant rate of a 1 m/s. Assume the boat remains at water level. At what speed is the boat approaching the dock when it is 10 meters from the dock? 15 meters from the dock? Isn't it surprising that the boat's speed is not constant? Guid At 10 meters.x'= at 15 meters x'=