1. If the position of an object moving along a straight line is given by . at time* t* find its acceleration.

**Answer: **

2. Differentiate and simplify your answer, leaving it in radical form and give your answer as a fraction.

**Answer: **

3. Differentiate and simply your answer

**Answer: **

4. Find the second derivative of the given function. In each cas, use the appropriate notation for the second derivative and simplify our answer. You needn’t factor your answer.

**Answer:**

5. Find the equation for the tangent line to the given curve at the point where x=1.

**Answer: y= -29x+34**

** **

6. It is estimated that t years fron now, the population of a certain suburban community will be thousand. Derive a formula for the rate at which the populaion will be changing with respect to time t years fron now.

**Answer: thousand per year**

7. It is estimated that t years fron now, the population of a certain suburban community will be By how much will the population actually increase during the second year? During the second year, the population will increase by?

**Answer: 3 thousand people.**

8. Find if it exists. Give your answer in fraction form, If it is infinite, indicate if the limit is

**Answer: **

9. Do not factor the numerator of your answer. Differentiate the given function.