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Question: Now suppose that you want to solve the Restricted Trench puzzle. The setup is the same as the Trench puzzle of the previous problem, but only one direction of slant is allowed for the triangle's diagonal. Let us denote the number of ways of filling the first n inches of Restricted Trench as Rn.
(a) What are the first few Restricted Trench numbers R1, R2, R3, R4,... ?
(b) Construct a recurrence for Rn and explain why it is correct.
(c) Find a closed form for your recurrence.
the revenue and cost functions for producing and selling quantity x for a certain production facility are given
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Find all values of: tan^(-1) * (1 + i). The format for the final answer should be similar to this one:
Students receive scores rounded to the nearest 10. What is the interval of student scores that lie within one standard deviation of the mean?
evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse.maximum area find the
Prepare an equation for the number of cups you sell as a function of the price you charge - Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge.
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The equation of a circle is x2 + 4x + y2 + 2y = 0. Write the equation in graphing form. Show your work.
Find the relevant equilibrium and use the stability criterion to determine when it is stable. Draw a cob webbing diagram.
In a parking lot, there are 84 vehicles. All vehicles are either cars, trucks, or bicycles. There are twice as many trucks as bicycles, and twice as many cars as trucks.
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