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Integrals and Area under the Curve

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Please see attached file for full problem description.

1) Consider the region bounded by the graph of the line x = 3, the x-axis, and the y-axis. Find the value of k to three decimal places such that the line x = k divides the region into two parts of equal area.
(Fill in the blank and show the work)

2) Find the smallest positive value of p, rounded to three decimal places, that makes the following equation true:
(Fill in the blank and show the work)

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Integrals and area under the curve are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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