Question: Please answer 3 and 4 thank you! 3. Suppose that you have a rectangular pen sitting next to a barn (i.e., there is fencing around

Please answer 3 and 4 thank you!

3. Suppose that you have a rectangular pen sitting next to a barn (i.e., there is fencing around 3 sides, with the barn along the 4" side). If you know that the total amount of fencing available is 120 feet, using optimization methods, determine what the dimensions of the pen should be to maximize the area? Also, what is the value of the maximum area? (6 points) 4. Compute the following improper integral (yes, it converges ), rest assured, you will get a finite result ... 6 points): x. Ln(x dx

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