📘 related rates, calculus

1. **State the problem:** We have a paper cup shaped like an inverted right circular cone with height $h=6$ inches and diameter $6$ inches (so radius $r=3$ inches). Water is being

1. **Problem statement:** A man walks along a path from a house at 2 m/s. The light is 7 m from the house and 5 m from the path. We want to find the rate at which his shadow moves

1. **State the problem:** We have a triangular trough 10 feet long, 6 feet across the top, and 3 feet deep. Water flows in at 12 cubic feet per minute. We want to find how fast the