Ch 10 Day 6 or 7 Notes.notebook
AP Calculus AB II: Optimization
December 13, 2013
Can you maximize my powers mathletes?
Optimization:
1) Given
2) min/max what?
3) Equation ­­ one variable
4) Derivative = 0 (max/min)
5) Plug in & solve/check
6) Answer
1
Ch 10 Day 6 or 7 Notes.notebook
December 13, 2013
Notes packet:
1) Phoebe is in her canoe, located 3 miles from the nearest point on the shore of Lake Erie. She wants to get to her campsite, which is 5 miles from that nearest point, as quickly as possible because she is hungry. She can row her canoe 2 mph and walk 4 mph. How far from the nearest point should Phoebe head in order to minimize her trip time?
Phoebe
2
Ch 10 Day 6 or 7 Notes.notebook
December 13, 2013
2) A new subdivision is being built and pipes for water must be installed and connected to the city lines. The main water connector to the subdivision is to be in a field 50 yards from the nearest street, and the main connector to the city water line is 400 yards down the street. Installing water lines across the field costs $75 per yard while installing them along the street is $50 per yard. How should the water line be laid out in order to minimize its total cost?
3