Line reflections

Related RatesMrs. Erickson

Related RatesYou 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.1423

Related RatesA 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 feet15 feet/sec? feet/sec7 feetRelated RatesA circle is increasing in area at the rate of 16 in/sec. How fast is the radius increasing when the radius is 2 inches?Related RatesWater runs into a conical tank at the rate of 9 ft3/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 ft3/min10 ft5 ft6 ft

Related RatesAn underground conical tank, standing on its vertex, is being filled with water at the rate of 18 ft3/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?

18 ft3/min30 ft15 ft12 ftDone!Can I have the bathroom pass please?!?