If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S= 109 +96t-16, where S is in feet and t is in seconds. Complete parts a through c below. AS 300 AS 300 300- 300- 0 b. Find the height of the ball 2 seconds after it is thrown and 4 seconds after it is thrown, How can these values be equal? ft. The height of the ball 2 seconds after it is thrown is The height of the ball 4 seconds after it is thrown is ft. How can these values be equal? O A. These two values are equal because the ball was always rising between the two instances. O B. These two values are equal because the ball was always falling between the two instances. O D. These two values are equal because the ball was rising to a maximum height at the first instance and then after reaching the maximum height, the ball was falling at the second instance. In the first instance, 2 seconds after throwing the ball in an upward direction, it will reach the height 237 ft and in the second instance, 4 seconds after the ball is thrown, again it will come back to the height 237 f. Next O C. These two values are equal because the ball was falling to a minimum height at the first instance and then it was started to rising at the second instance.

A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. F(x) = Find the derivative F'(x). F'(x) = Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value ft Submit Answer

Determine whether the equation 2x + y = 8 defines y as a function of x.

You purchased a car for $30 000. It depreciates by 25% of its current value every year. a) Write a function that can be used to model the value of the car after x years. b) How much will the car be worth 3 years after it is purchased? c) How long would it take for the car to depreciate to a value of $20 000?