Find the area of the largest rectangle that can be inscribed above the x-axis and below the curve y=-x^2 +9 . Your conclusion must be fully justified using calculus. Make sure to define your variables and include a labelled diagram

You just purchased two coins at a price of $670 each. because one of the coins is more collectible, you believe that its value will increase at a rate of 7.1 percent per year, while you believe the second coin will only increase at 6.5 percent per year. if you are correct, how much more will the first coin be worth in 15 years?