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Find the values of a, b, c, and d so that the cubic polynomial y = ax3 + bx2 + cx + d provides the best fit to the following (x, y) pairs in the least squares sense: (-2, -8), (-1, 4), (0, 8), (1, 1), (2, 5), (3, 15).
Note that to check your answer you can plot the given points together with your cubic polynomial on the same graph, and check to see that all 6 points lie fairly close to the curve (as in the tutorial file). But note that the curve might not pass directly through any of the 6 points.
What's the probability the newspaper's sample will lead them to predict defeat?
U sing an equal number of participants, find how many subjects will you need in each group
Find the length L and width W of the enclosure that is most economical to construct.
If parabolic opening touches the ground right at the edges of the waterway and the maximum height of the opening is 60ft, what is the maximum height that a 20-foot wide boat could be and still pass through the opening?
We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
We have seen that if Y has a binomial distribution with parameters n and p, then Y/n is an unbiased estimatorofp.To estimate the variance of Y,we generally usen(Y/n)(1-Y/n).
What is the mass of the water in a hemispherical tank with a radius of 5 meters? Illustrate your calculations with a plot of the tank. (Hint: assume hemisphere is lower hemisphere of sphere of radius 5 centered at the origin in spherical coordinat..
Make a graph of this on graph paper. Use your graph to find the depth of water in the tank after 5 hours.
Simplify (a) to the simple forum that will not cost more time, for example, the simplification of (n)! Is = n lgn.Show step by step.
Using minimax regret criterion, what decision should be made by the decision maker?
For the following problems, determine how many years it will take for the two accounts to reach the same amount. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
The profit of each bookcase is 40$ and each desk is 75$. How many of each product should be made each month in order to maximize profit.
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