Find the area of the largest rectangle that can be inscribed in the ellipse below. x^2/a^2 + y^2/b^2 = 1

the length of a new rectangular playing field is 4 yards longer than the quadruple width. if the perimeter of the rectangular playing field is 418 yards, what are its demensions?

Post your 50-word response to the following: Explain in your own words why the line x = 4 is a vertical line, but the line y = -2 is a horizontal line.

104. Bonus and taxes. A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be 20% of the income after deducting income taxes T but before deducting the bonus. So B = 0.20(100,000 - T ).

104. Bonus and taxes. A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be 20% of the income after deducting income taxes T but before deducting the bonus. So B = 0.20(100,000 -- T ). Because the bonus is a deductible expense, the amount of income tax T at a...

106. Free market. The equations S = 5000 + 200x and D = 9500 -- 100x express the supply S and the demand D, respectively, for a popular compact disc brand in terms of its price x (in dollars). a) Graph the equations on the same coordinate system. b) What happens to the supply as the price...

From a point A on the ground, the angle of elevation to the top of a tall building is 24.1 degrees. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2 degrees. Find the height of the building.

find 2 linearly independent power series solutions to the differential equation. State the first 3 terms of each serier: 2x^2y"+xy'-(1+2x^2)y=0

7(7c+1)-4c=13(3c-2)

90x^2+19x-361=0