Use lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. Let the sides of the rectangle be x and y and let f and g represent the area (a) and perimeter (p), respectively. Find the following

These two squirrels live in the same ecosystem. what type of interaction do the images represent? a. direct competition b. mutualism c. interference competition d. symbiotic e. indirect competition

Prompt what is your personal ideology? give your opinion on the three following topics. justify your support or opposition to each issue by using examples. issue one: should the government have the right to place a high tax on soda to discourage its consumption and fight teen obesity? issue two: should the government be allowed to monitor your actions on the internet to keep the nation safe from terrorism? issue three: should the government be allowed to outlaw texting while driving to keep drivers safer on the road?

Layer r contains a well-known index fossil that is 100 million years old. based on this information and the principle of superposition, a. layers t and m are older than 100 million years, and layers x and g are younger than 100 million years. b. layers t, m, x, and g are all older than 100 million years. c. layers t and m are younger than 100 million years, and layers x and g are older than 100 million years.