Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to...
(1 point) More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field to keep the sheep safe. Being mathematicians, they decide that the fences are to be in the shape of the parabolas y = 2x2 and y = x2 + 6. What is the area of the enclosed region?
7.(7 points) Farmer Joe has 48 feet of fence and wants to build two pens to hold his pigs because he's tired of them getting into his house (just look how menacing they arel) He plans to do this by building one large rectangular pen and splitting it down the middle with a length of fence. What dimensions (labeled x and y in the picture below) should the farmer use to maximize the area enclosed? (Must use calculus to get...