In class on Friday, July 15th, you will receive Part I of the Review Packet. On the back, answer the following questions. As for the trigonometric chart, copy and complete it on the back as well.

__Review Packet Part II__

**Give the formulas for…**

Exponential Growth Exponential Decay

**Application…Show your work****!** Write your answer in a COMPLETE SENTENCE incorporating the question.

**A sample of 4,000 bacteria decreases in size at a rate of 5% a year. How many bacteria will be in the sample after 100 years?**

**The population of Richmond County was 285,000 in 2000 and is growing at an annual rate of 2%. If this continues, how many people would you expect to be in the town in 2012?**

**Is there a relationship?**

**The dosage chart below was prepared by a drug company for doctors who prescribed Tobramycin, a drug that combats serious bacterial infections such as those in the central nervous system, for life-threatening situations. **** **

** x: Weight y: Usual Dosage**

(pounds) (mg)

88 40

99 45

110 50

121 55

132 60

143 65

154 70

165 75

176 80

187 85

198 90

209 95

a) Write the line of best fit.

b) What is the usual dosage for a 240 pound person?Write your answer in a sentence. ** **

**Trigonometry** Complete this table.

Ratio illustrating the relationship of opp., hyp. and adj. | Ratio illustrating the reciprocal trigonometric function. |
| |

sin θ | |||

sec θ | |||

tan θ | |||

cos θ | |||

cot θ | |||

csc θ |

**Derivatives**

Given the polynomial, **f(x) = a x ^{n }**, where

**a**and

**n**are Real numbers, what is the general formula for finding…

**f ' (x) =**