2. 2.6 Related Rates

4. Geometric Model dx/dt? Solve on Board

5. Variable Constant Variable You cannot put in values for variables until you have differentiated! Geometric Model Implicit Differentiation

6. In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x”

7. In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x” Law of Cosines

8. Implicit Differentiation: In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x” Solution

9. You could divide every term by 2.

10. In an engine, a 7” connecting rod is fastened to a crankshaft of radius 3”. The crankshaft rotates counterclockwise at a constant rate of 200 revolutions per minute. Find the velocity of the piston when Crankshaft = 3” Connecting Rod = 7” Piston = x”

12. Diagram

13. 2.6 Related Rates

15. 9.4 Law of Cosines Problem