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Find the Fourier Transform ^U(k; t) of the solution U(x; t) of the heat equation
Ut = Uxx x∈R t≥0U(x,0) = e(-|x| ) ,x∈RU(-∞ ,t) = u(∞,t) = 0 , t ≥ 0
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
What was the book value of the equipment inventory at the six-year point, substituting the new hydraulic lift for the original after the new lift had joined the inventory?
How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?
Important information about Mixture, A tank contains 1320L of pure water.A solution that contains .o1kg of sugar per liter enters a tank at the rate 3L/min
Find the probability that a male resident who was newly diagnosed with AIDS in 1998 contracted it via homosexual contact. Find the probability that a female resident who was newly diagnosed with AIDS in 1998 contracted it via intravenous drug use.
State two recent virus threats; whether they are minor or the major threats? What software would you utilize to eliminate these threats? Please involve a brief description for each threat and how to eliminate the threat.
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
How far is Jared's school from the grocery store? Round the answer to the nearest tenth.
Subtracting, Adding and multiplying two complex numbers
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
what is the distance between the origin and the point (5,-19)? if necessary, round your answers to two decimal places.
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.25 hour is desired. Past studies suggest that a population standard deviation of 1.7 hours is reasonable.
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