Question

Let y be the height of the coffee in the funnel at any given time, so that just before the dripping starts we have y = 3. Since the coffee is draining out of the funnel, dy dt will be negative. What (approximately) will be the value of y when dy dt is at its smallest (closest to zero)?

Answer 1

Answer: y will change the slowest but still with a zero (0) value.

Explanation: at y = 3: the height y will change the slowest when the coffee level is at the top of the cone.