Calculus I Review Problems

1. Find the indicated limit or explain why it does not exist.
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2. State the definition of , the derivative of a function f. Describe the derivative of a function in geometric terms.
3. Compute the derivative of each of the following functions.
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      HINT: Use the Fundamental Theorem of Calculus.
4. A page of a book is to contain 27 square inches of print. If the margins at the top, bottom, and one side are 2 inches and the margin at the other side is 1 inch, what size page would use the least paper?
5. Compute each definite or indefinite integral.
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6. Find the area of the region bounded by and the x-axis.
7. Find the length of the arc of the curve from x=1 to x=3.

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