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Question: 1. An integral whose evaluation requires factoring a cubic.
2. A linear polynomial P(x) and a quadratic polynomial Q(x) such that the rational function P(x)/Q(x) does not have a partial fraction decomposition of the form
(P(x)/Q(x)) = A/(x - r) + B/(x - s)
For some constants A, B, r, and s.
Sample final questions. For each power series, determine its radius of convergence R. By considering the series at x = ±R, determine the exact interval of convergence
high temperatures in certain city in the month of august follow uniform distribution over the interval 60-85 f. what is
You have a credit card that is charging you 9.9% + the current prime rate. What is that interest rate on the credit card today?
The value of the expression 1 / cos 290º + 1 /√3 sin 250º is equal to
Answer these questions for the poset ({{1}, {2}, {4}, {1, 2}, {1, 4}, {2, 4}, {3, 4}, {1, 3, 4}, {2, 3, 4}}, ?).
A perpetuity pays $50 per year and interest rates are 9 percent. How much would its value change if interest rates decreased to 6 percent?
An open box is to be made from a square piece of sheet metal, 20 inches on a side, by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
Need to prove that the centroid is the balance point of a triangle using only GEOMETRY with no vector addition allowed and I can't use the "equal areas" argument as far as the 6 triangles that are made with the medians.
Find the isosceles triangle of smallest area (Figure) that circumscribes a circle of radius 1 (from Thomas Simpson's The Doctrine and Application of Fluxions, a calculus text that appeared in 1750).
Research a restaurant or hotel anywhere in the United States you have had a personal experience with. You are to then complete a TripAdvisor evaluation for the chosen restaurant or hotel.
If the phone company can provide only one service currently, which project should it choose?
You have just received $195,000 from the estate of a long-lost rich uncle. If you invest all your inheritance in a tax-free bond fund earning 6.8% compounded quarterly, how long do you have to wait to become a millionaire? (Round your answer to tw..
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