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a rectangle study area is to be enclosed by a fence and divided into two equal parts, with the fence running along the division parallel to one of the sides. if the total area is 384 ft^2, find the dimensions of the study area that will minimize the total length of the fence. how much fencing will be required?
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
determine the percentage of women whose pregnancies are between 257 and 277 days
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
Which two variables have the strongest strength of relationship?
The perimeter of a rectangle is 170 meters. Express the area A as a function of the length L, and state the domain of this function.
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next thre..
Use the Poisson model to approximate the probability. Round your answer to four decimal places.
I need to know how to find first 3 derivatives for f(x) = cos(sq) 2X. I am able to find derivatives for similar problems, but the 2X portion is throwing me off.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
What mass of H2O is produced when 0.400 moles of KOH react completely in the following equation?
A pie is removed from a 375 degree F oven and cools to 215 degree F after 15 minutes in a room at 72 degree F How long will it take for
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
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