Consider the function f x = x 2 on the interval 0 , 1 ...

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P RELIM 1 R EVIEW N AME : S OLUTIONS Math 1910 October 2, 2018 Warning: These problems are by no means a comprehensive representation of the material that might appear on the exam. That is, there may be topics not covered by these problems that you are still responsible for knowing. Let these problems be a supplement to your preparation for the exam, but be sure to review other sources (e.g. your notes, homework assignments, and the textbook) as well. (1) Consider the function f ( x ) = x 2 on the interval [ 0 , 1 ] . Find a formula for R N and compute the area under the graph as a limit.

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