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A swimming pool currently contains 500 gallons of water. Water is drained from the pool at a constant rate of 4 gallons per minute. Write the linear function that models the amount of water in the pool in terms of the time since the drain was opened. What is the domain of this function? How much water will be left in the pool after 14 minutes? How long will it take for the amountof water in the pool to be reduced to 392 gallons?
Two fires towers are 30 kilometers apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and B are E 14 N and W 34 N. Find the distance d of the fire from the line segment AB.
Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both).
The problem is: Z = X COS Y - Y COS X-Find all of the first and second partial derivatives of this problem.
For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems:
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
How Fast in the angle of inclination of the line joining the particle to the origin changing when x=3?
Graph the function and label the x and y-intercepts on a scale where y-axis ranges from -100 to 900 and x-axis ranges from 0 to 55. What is the maximum profit earned by the company in a week?
A consulting engineer's time is billed at $30 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $715 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on th..
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
Work out what constraints in a maximum entropy problem will give rise to the true inverse Gaussian distribution.
consider the data points (1,9) (2,8) (3,6) and (4,3). Find the straight line that provides the best least-squares fit to these data.
If a particular shipment of thousands of components actually has a 7% rate of defects, what is the probability that this whole shipment will be accepted?
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