Ch 10 Day 3 Notes.notebook
December 10, 2013
AP Calculus AB II: Related Rates
Steps:
1) Write down the given information (what you know)
2) Decide what is being asked (rate)
3) Find a formula that involves #2.
4) Implicitly differentiate with respect to time.
5) Plug in values and solve.
6) Answer the question.
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Ch 10 Day 3 Notes.notebook
December 10, 2013
Notes handout:
1) A spherical balloon is being inflated so that its volume is increasing at the rate of 5 cubic meters per minute. At what rate is the diameter increasing when the diameter is 12 meters?
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Ch 10 Day 3 Notes.notebook
December 10, 2013
2) Sand falls from a conveyer belt at the rate of 10 cubic meters per minute onto the top of a conical pile. The height of the pile is always three­eighths of the base diameter. How fast are the height and the radius changing when the pile is 4 meters high?
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Ch 10 Day 3 Notes.notebook
December 10, 2013
3) The length l of a rectangle is decreasing at the rate of 1 cm/sec while the width w is increasing at the rate of 3 cm/sec. When l = 6 cm and w = 2 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle.
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