A ceramic mug is removed from a pottery kiln once the mug reaches a temperature of 700 degrees Celsius. The temperature of the mug then decreases at a rate given by r (t) = 20+100 arctan t degrees Celsius per minute, where t is 1+t the number of minutes since being removed from the kiln. What is the temperature of the mug, to the nearest degree Celsius, at time t 10 minutes? A) 15 (B 288 412 685

When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg's

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

The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t is given by d = 1.5tv + 0.06v². A car is traveling 70 mph. If the driver's reaction time is 0.5 sec, what is the stopping distance? ft