7. [-/1 Points] DETAILS SCALCET8 3.9.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A plane flying horizontally at an altitude of 1 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 2 mi away from the station. (Round your answer to the nearest whole number.) mi/h Need Help? Watch It Submit Answer 8. [-/1 Points] DETAILS SCALCET8 3.9.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If a snowball melts so that its surface area decreases at a rate of 7 cm /min, find the rate at which the diameter decreases when the diameter is 9 cm. cm/min 9. [-/1 Points] DETAILS SCALCET8 3.9.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM? km/h 10. [-/1 Points] DETAILS SCALCET8 3.9.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A man starts walking north at 3 ft/s from a point P. Five minutes later a woman starts walking south at 6 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after the woman starts walking? (Round your answer to two decimal places.) ft/s Need Help? Watch It 11. [-/1 Points] DETAILS SCALCET8 3.9.022.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 9 m from the dock? (Round your answer to two decimal places.) m/s Need Help? Watch It Master It 12. [-/1 Points] DETAILS SCALCET8 3.9.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Water is leaking out of an inverted conical tank at a rate of 10,500 cm/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) cms/min