2.6: Related Rates (Part 2) Greg Kelly, Hanford High School, Richland, Washington.

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Presentation transcript:

2.6: Related Rates (Part 2) Greg Kelly, Hanford High School, Richland, Washington

Objectives Find a related rate. Use related rates to solve real-life problems.

Speed is 500 mph Airplane Problem (example 4): An airplane is flying on a flight path that will take it directly over a radar tracking station. If c is decreasing at a rate of 400 mph when c=10 miles, what is the speed of the plane? Find: Given: c x Speed is 500 mph

Hot Air Balloon Problem: Given: How fast is the balloon rising? Find:

Hot Air Balloon Problem: Given: How fast is the balloon rising? Find

Lamp Post and Search Light More Sketchpad Demos Lamp Post and Search Light

Truck A travels east at 40 mi/hr. Truck B travels north at 30 mi/hr. Truck Problem: Truck A travels east at 40 mi/hr. Truck B travels north at 30 mi/hr. How fast is the distance between the trucks changing 6 minutes later? B A

p Truck Problem: Truck A travels east at 40 mi/hr. Truck B travels north at 30 mi/hr. How fast is the distance between the trucks changing 6 minutes later? B A p

Homework 2.6 (page 155) #25, 28, 29 #31, 33, 44