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x +1 if-2<x<3 |-x if x 23 8. Graph the function f(x)-
UU UTIJICICU Question 7 < > Use Mathematica to factor the expression 28 - 6x? + 9x® + 4096x2 - 24576x + 36864. One of the resulting factors has the form (z? + M). Enter the value of M below. M= Submit Question Question 8 < > Define the function f(x) = a* - 523 – 6x2 + 23 on Mathematica. Then evaluate and expand the expression f(3w + 2). The result should be a polynomial in the variable w....
Consider the 2-periodic function given on the interval [0,27) by if 0 <<< 2 (x - 72 if <<< 27. 1. Sketch the graph of this function. 2. Find its Fourier series.
2.6.9 Let X have density function fx(x) = x/4 for 0 < x < 2, otherwise fx(x)=0. (a) Let Y = X. Compute the density function fy(y) for Y. (b) Let Z = X. Compute the density function fz(z) for Z.
Random variables X and Y have the following joint probability density function, fx,y(x, y) = {c)[4] < 15.36, 1y| < 15.367 1.36} 0, 0.w. where cis a constant. Calculate P(Y – X| < 8.41).
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
Let X N(1,3) and Y~ N(2,4), where X and Y are independent 1. P(X <4)-? P(Y < 1) =? 4、 5, P(Y < 6) =? 7, P(X + Y < 4) =?
The graph of the following function is shown in the figure. Find the largest o such that if 0 < x - 11 < 5 then IF(x) - 11 <0.1. Rx) = 21 x 5 1 yel 2+ y09 1+
-105 5 10 he graph of a piecewise function. f(x), is depicted above. Find its equation: f(x) = 3 < x <= for x >
Find the required Fourier Series for the given function f(x). Sketch the graph of f(x) for three periods. Write out the first five nonzero terms of the Fourier Series. cosine series, period 4 f(0) = 3 if 0<x<1, if 1<x<2 1,