Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x – x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.5); f(x) = 2x2 – 2x – 1

B. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.5); f(x) = –2x2 + 2x – 1

C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.5); f(x) = –2x2 – 2x – 1

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.5); f(x) = –2x2 + 2x – 1

W= fd
where f is an applied force and d is the distance over which it is applied. when a parachuting skydiver is at constant velocity, he is experiencing "terminal velocity", the point at which his acceleration down is canceled out by air resistance. that means that the resisting force of the air is equal to his weight, but in the opposite direction. with this, we can solve for the work done by the force.
w = fd
w = (92.0)(9.81 m/s^2) (325)
w= 2.93 x 10^5 j
the value for work in this case is positive because it is pushing up on the skydiver, who has a downward force of gravity.
therefore the answer is 2.93 x 10^5 j

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