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Set f (t) = [1 - H (t)] cos t for t ∈ [-Π, 0) ∪ (0, Π), f (0) and f(t + 2Π) = f (t)
a. Is f(t) even odd or neither,
b. Show that Fourier series of f(t) is
½ cos t - k=1Σ∞(4k sin 2kt)) / Π(4k2 -1).
c. What are the values of the series t =0 and t = -Π/2 and the corresponding values for original function f(t)? Quote theorems to explain possible discrepancy.
d. Using the Fourier series by taking a proper value for t in this Fourier series, compute the sum of the following infinite series.
t=1Σ∞(4(2l - 1) (-1)l) / Π(4(2l - 1)2 -1).
Alzheimer's disease, a neurological disease, is a very costly public health problem. As the population ages, the incidence of Alzheimer's will increase. The incidence of Alzheimer's will nearly quadruple in the next 40 years. Finding a way to delay t..
A child slides down a slide with a 27o incline, and at the bottom her speed is precisely two-thirds what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.
there are two chevrolet dealers in Jamestown, New York the mean montly sales at sharkey and dave white chevrolet are about the same use .01 significance level.
Suppose the scores of 500 college freshmen taking Physics 101 are normally distributed. The mean score is 60 out of 100, and the standard deviation is 10. Find the values defined by the standard deviation that is 3 standard deviations away from th..
assume that in the year 2010 800000 people attended the christmas eve celebration at walt disney world. if in 2011
for what initial velocity will one of her free throws go exactly 10 feet? explain? B. what happens to ball for an initial velocity greater than the one in part a? explain?
Verify Stoke's theorem where S is the surface of the paraboloid 2z=x2 + y bounded by z=2 and C is its boundary.
in 2004 a sample of 250 household in ny showed that 62 paid their monthly phone bills by debit card. in 2009 a sample
Eliminate the parameter to find a Cartesian equation of the curve. sketch the of the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases.
Detailed process, especially mentioning the strategy and theorems used.
a poster is to contain 100 square inch of picture surrounded by a 4-inch margin at the top and bottom and a 2 inch margin on each side. FInd the overall dimensions that will minimize the total area of the poster.
The second contains 50% water. How much milk should he mix from each of the container so as to get 12 litres of milk such that the ratio of water to milk is 3:5?
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