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(a). Find the least squares approximation of e^x over the interval [0,1] by a polynomial of the form ao+a1x.
(b). Find the mean square error of the approximation.
Identification of the Slope, y-intercept, and x-intercept of the given equation.
Matlab Richardson extrapolation, Write a Richardson extrapolation code and test it using f(x) = sin(x), x = 1.230959415400000
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
A company uniformly receives 20 phone calls from 9am -7 pm What is the probability that the number of calls between 12 :00 and 1:00 will be:
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
An Art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25..
Probability : Selection Without Replacement and Stirling's Formula, A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
Learning is a lifetime activity. For some, it means learning from everyday experiences; for others, it means taking classes in a more traditional atmosphere. The percentage of people participating in organized learning situations during 2002 for e..
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