How to find the meaning of functions

Practice Questions

CLEP Calculus › How to find the meaning of functions

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1

Evaluate the limit:

\lim_{x \to 2} \frac{x^3-8}{x^2-4}

2

Evaluate

3

A huge container is used to hold all the confiscated candy at a local high school. Since everyone there loves sweets, the school is constantly confiscating candy, and dropping it into the container. At the end of the day, the container is emptied and starts empty the next day. The amount of candy in the container throughout the day is given by the following expression: , where t is in hours.

Assuming that there is a 10 hour school day, when is most of the candy confiscated?

4

A farmer has 500 feet of fencing. She wants to enclose the maximum area possible, so she plans to use the side of another building, which is 300 feet long, as one side of her enclosure. What equation will you use to find the maximum area the farmer can enclose?

5

For the function below, find the inflection points and use them to determine the intervals on which the function is concave up and concave down:

6

Which of the following functions is NOT differentiable at ?

7

Evaluate:

8

Find

.

9

Find the critical point(s) of .

10

Evaluate:

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