A police car traveling south toward Sioux Falls at 160km/h pursues a truck traveling east away from Sioux Falls, lowa, at 140 km/h (See figure below). 160 km/h Sioux Falls 140 km/h At time t = 0, the police car is 40 km north and the truck is 60 km east of Sioux Falls. %3D Calçulate the rate at which the distance between the vehicles is changing at t = 0 minutes.

A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)

A television camera at ground level is 2000 ft away form a launching pad of a space rocket that is set to take off vertically. The angle of elevation is given by ? = tan−1( ?2000). Find the rate of change of the angle of elevation after launch when the camera and the rocket are 5000 ft apart

You use a garden hose to fill a wading pool. If the water level rises 11 centimeters every 6 minutes and you record the data point of (18,y). At what rate did the water level change?