2. 76.8 – 75.2 1.6 Average Rate of Change = 02 - 11 = -9 = -.778 76.8 – 75.2 1.6 Average Rate of Change = 02 - 11 = -9 = -.778

4. Instantaneous Rate of Change at 2003 = -5.174

5. Instantaneous Rate of Change at 2003 = -1.826

6. Limit x 6.5- 75.25657 Limit x 6.5+ 71.669602

7. Limit x 6.5 73.463086

9. Y’= -.6345494264 x Y’= -.6345494264 x Y’=-6.784189065* cos(-2.304469566 x + 1.333706904) Y’= 74.56303051 *.9993957215^x *ln(.9993957215)

10. X 0 =23.74251964

11. f’(c) = 75.682- 76.565 11-2 f’(c) = -.883 9 f’(c) = -.098 c = X f(c) = Y 4 f’(c) = Y 5 Y= -.098(x – 3.4931) + 71.661 Y= -.098(x – 6.9124) + 75.325 Y= -.098(x – 9.67854) +72.782

13. The Regression has a minimum at 5.4093854 and a maximum at 10.033224. It is increasing between [5.4093854, 10.033224],and is decreasing between (- ∞, 5.4093854) U (10.033224, ∞).

14. Concave up Concave down Inflection Point Second Derivative Zero First Derivative Maximum

15. 74.64476.35271.13876.517 74.42 71.891 77.426 72.43273.684

16. 76.35271.13876.517 74.42 71.891 77.42672.43273.68476.976