2. RELATED RATES Mrs. Erickson

3. Related Rates You will be given an equation relating 2 or more variables. These variables will change with respect to time, and you will use derivatives to determine how the rates of change are related. 14 2 3

4. Related Rates A 25-foot ladder is leading against a wall, and sliding towards the floor. If the foot of the ladder is sliding away from the base of the wall at the rate of 15 ft/sec, how fast is the top of the ladder sliding down the wall when the top of the ladder is 7 feet from the ground? 25 feet 15 feet/sec ? feet/sec 7 feet

5. Related Rates A circle is increasing in area at the rate of 16π in ² /sec. How fast is the radius increasing when the radius is 2 inches?

6. Related Rates Water runs into a conical tank at the rate of 9 ft 3 /min. The tank stands point down and has a height of 10 feet and a base radius of 5 feet. How fast is the water level rising when the water is 6 feet deep? 9 ft 3 /min 10 ft 5 ft 6 ft

7. Related Rates An underground conical tank, standing on its vertex, is being filled with water at the rate of 18π ft 3 /min. If the tank has a height of 30 feet and a radius of 15 feet, how fast is the water level rising when the water is 12 feet deep? 18π ft 3 /min 30 ft 15 ft 12 ft

8. Done! “Can I have the bathroom pass please?!?”