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A "whispering room" is one with an elliptically-arched ceiling. If someone stands at one focus of the ellipse and whispers something to his friend, the dispersed sound waves are reflected by the ceiling and concentrated at the other focus, allowing people across the room to clearly hear what he said. Suppose such a gallery has a ceiling reaching twenty feet above the five-foot-high vertical walls at its tallest point (so the cross-section is half an ellipse topping two vertical lines at either end), and suppose the foci of the ellipse are thirty feet apart. What is the height of the ceiling above each "whispering point"?
If the rates of change remain constant from one year to the next, determine the steady state matrix and how long it will take for it to occur.
If the cables to be delivered are selected at random, how many of the cables are expected to have a strength less than 1910 pounds?
Metric space has infinitely many distinct connected components - Is it possible (X,d) compact ? if yes ,give an example if no provide proof?
the sunday newspaper cost 2.10 per issue delivered and the saturday and weekday newspaper cost 40 cents per issue
What is the velocity of a liquid in a pipe that has a flow rate of 5ft3/s and a diameter of 6 inches ? please show the steps in detail ?
Part 1: Solve each of the quadratic equations below. Show your work.
Use the regression model to predict the shipments
S4 means symmetric group of degree 4, A4 means alternating group of degree 4, e is the identityIs there a group homomorphism $:S4 -> A4, with kernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
Statistics: linear and multilinear regressions, The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who..
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
Two angles are complimentary. The sum of measure of the first angle and half the second angle is 74 degrees. find the measures of the two angles
The data points given are just like x and y values, where the x value is the time t in seconds and the y value is the altitude h in feet. Plug these into the model and you will get equations with a, b and c.
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