1. 5.7: Beginner Related Rates

2. Steps to Related Rates Problems 1) Draw Pic & Find needed formula 2) Plug in non-changing variables 3) Differentiate the Formula 4) Plug in variables

3. A rectangle’s length is increasing at a rate of 2 in/sec and its width is decreasing at a rate of 3 in/sec. Find the area’s rate of change when the length is 7 inches and its width is 6 inches.

4. A right triangle has sides of 30 and 40 inches that are changing. Find the rate at which the hypotenuse is changing if the short side is decreasing at 3 in/sec and the long side is increasing at 5 in/sec.

5. An Oil Tanker spills oil that spreads in a circular pattern whose area is changing at a rate of How fast is the radius of the oil spill increasing when the radius is at 20 feet?