Related Rates

Problem

While this problem looks straight from a differential calculus textbook, it requires no advanced math.

Phoenix Math Tutoring Bug Two bugs sit on either side of a bubble. The radius r of the bubble is expanding with dr/dt=3 cm/s. The distance between the bugs is d and they sit on either side of a 60 degree arc, find dd/dt when r=2.

Solution

Since the arc is 60 degrees, then d=r and thus dd/dt=dr/dt, dd/dt=2 at all times.

If you have a tricky or interesting problem that you’d like to see on Problem Of The Week, email one of our Expert Tutors!

Tags: , , , , ,

Comments are closed.