1. Mr. Moore is pushing the bottom end of a meter stick horizontally away from the wall at 0.25m/sec. How fast is the upper end of the stick falling down vertically when the bottom of the ruler is 0.7m away from the wall?

2. Steps: 1) If possible – draw a picture and label with appropriate variables 2) Identify what the question is asking for 3) Identify what information is given 4) Relate the variables w/ an equation 5) Differentiate implicitly w.r.t. time (chain rule) 6) Answer the question

3. Air is being pumped into a spherical balloon so that its volume increases at a rate of 100cm 3 /sec. How fast is the radius of the balloon increasing when the diameter is 50cm?

4. A water tank has the shape of an inverted circular cone with base radius 2m and height 4m. If water is being pumped into the tank at a rate of 2m 3 /min, find the rate at which the water level is rising when the water is 3m deep?

5. Car A is traveling west at 50mi/hr and car B is traveling north at 60mi/hr. Both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 0.3 miles and car B is 0.4 miles from the intersection?