A farmer wants to build a rectangular pen for his cow, he wants to build his pen along a river so he will only need to have fence along 3 of the sides. He has 1000 ft of fencing, what should the dimensions be to maximize the area? How do I solve this problem? Answer: The max area is 125000 ft² with length = 500 ft and width = 250 ft Step-by-step explanation: --------------------------------------------------------------------------------- Solution in brief: 1. Form an equation with the given information with only 1 variable. 2. Find the first derivative . 3. Find the value of the variable when the first derivative is 0 . (This will give us either the max or the min value of the variable) 4. Find the second derivative . If the second derivative is greater than zero, the value found in (3) is the min value. If the second derivative in smaller than zero, the value is the max value . --------------------------------------------------------------------------------- STEP 1: Def...
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