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Develop the transfer function for the effect of (u) on (y) for the following differential equations, assumong u(0)=0 and y(0)=0.
1. (d^2y)/(dt^2) + 4(dy/dt) - 5y= u
2. (d^2y)/(dt^2) + 4(dy/dt) + 4y= u
SDJ, Inc., has net working capital of $3,710, current liabilities of $5,500, and inventory of $4,440. What is the current ratio?
A mountain is 14,72- feet above sea level, and a valley is 348 feet below sea level. What is the difference in elevation between the mountain and the valley?
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
Gravel is being dumped from a conveyor belt at a rate of 50 {rm ft}^3{rm /min}. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile i..
In all respects, Company A and Company B are identical except that Company A's costs are mostly variable, whereas Company B's costs are mostly fixed. When sales increases, which company will tend to realize the greatest increase in profits?
A 25.5 foot ladder rests against the side of a house at . a point 24.1 feet above the ground. The foot of the ladder. is x feet from the house. Find the value of x to one decimal place.
traveling along linear paths, and you need to find the coordinates at which they might potentially collide. Suppose the two lines are 2x + 3y = 8 and 4x - y = -2. Solving the system of equations would give you the (x, y) coordinates of the possibl..
Two weather tracking stations are on the equator 159 miles apart. A weather balloon is located on a bearing of N 38°E from the western station and on a bearing of N 14°E from the eastern station. How far is the balloon from the western station?
During the first part of a trip, a canoeist travels 92 miles at a certain speed. The canoeist travels 41 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the t..
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
A certain university has a computer room with 222 terminals. Each day there is a 4% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
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