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Relative extrema, Limits, Minimum average cost per unit

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5. Find the open intervals on which f(x) = x - log-base-4(x) is increasing or decreasing, and locate all relative extrema.

6. Find all relative extrema and points of inflection of y = x^2 log-base-3(x).

7. Find the limit of each of the following functions:

Please refer to the attachment for details.

8. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters in order to provide enough grass for the herd. What dimensions would require the least amount of fencing if no fencing is needed along the river?

9. Find the number of units x that produces the minimum average cost per unit for the cost function (given in the attachment).

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