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

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. if a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. what is the margin of error of the sample mean? a. 0.086% b. 0.533% c. 1.11% d. 2.22%

Given that abcd is a rhombus, what is the value of x?

In the diagram, be and ad pass throughthe center of circle o, and the area ofsector aoc is 47.45 square units. what isthe area of sector boc? use the value =3.14, and round your answer to two decimalplaces.22.33 square units25.12 square units