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.
