1. Wednesday, March 2, 2016MAT 145

2. Wednesday, March 2, 2016MAT 145 Ripples on the Pond

3. Wednesday, March 2, 2016MAT 145

4. Wednesday, March 2, 2016MAT 145

5. Wednesday, March 2, 2016MAT 145 Suppose a right triangle is growing over time. We can implicitly differentiate an equation that relates the measures of the sides to find a relationship between the rates at which the sides are changing. dx/dt represents the rate at which the side labeled x is changing with respect to time. dy/dt represents the rate at which the side labeled y is changing with respect to time. dz/dt represents the rate at which the side labeled z is changing with respect to time.

6. Wednesday, March 2, 2016MAT 145

7. Wednesday, March 2, 2016MAT 145

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9. Wednesday, March 2, 2016MAT 145

10. Wednesday, March 2, 2016MAT 145

11. Wednesday, March 2, 2016MAT 145

12. Wednesday, March 7, 2012MAT 145 Illustrations and Examples Temple University RR siteTemple University RR site (discussion and animation) Kelly’s RR notesKelly’s RR notes (solutions and animations) Melting SnowballMelting Snowball discussion and animation) More RR Problems and SolutionsMore RR Problems and Solutions (with animations)

13. Wednesday, March 2, 2016MAT 145

14. Wednesday, March 2, 2016MAT 145