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Question: a) Construct a recurrence relation for the number of goats on the island at the start of the nth year, assuming that during each year an extra 100 goats are put on the island.
b) Solve the recurrence relation from part (a) to find the number of goats on the island at the start of the nth year.
Estimate the area under the graph of f(x)= (x^2) + x from x=0 to x=3 using 3 approximating rectangles and left endpoints.
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
Two earthquakes differ by .1 when measured on the Richter scale. How would the seismographic readings differ at the distance of 100 km from the epicenter?
What is your interpretation of the phrase "act local, think global"?
To attend a friend's wedding, you must buy an airplane ticket and rent an automobile. If you can spend a total of $685 and the plane ticket will cost $325, how much can you spend on car rental?
Find the length of the cardioid x(t) = 2 cos t - cos 2t, y(t) = 2 sint - 2sint - sin 2t for 0 ≤ t ≤ 2π.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Suppose at a given moment, Han Solo is travelling at 60 imperial units per minute and is 8 units away from the intersection and Darth Vader is traveling at 30 imperial units per minute and is 6 units away from the intersection. Calculate how fast ..
Write a complex number in trigonometric form, using the degree measure for the argument:-5sqrt(2)+5i sqrt(2)
Make a position-vs.-time graph of that trip.
A queueing system has three servers with expected service times of 1 hour, 45 minutes, and 30 minutes. The service times have an exponential distribution. Each server has been busy with a current customer for 15 minutes. Determine the expected remain..
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
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