Find the smallest n so that fx=5x3+7x4logn+3x2 is O(xn)
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Find the smallest n so that fx=7x2logx3+2x4+3logx2x4 is Oxn
Let V⊂R^4 be the subspace defined by the equation x1 + 3x2 - 5x3 - x4 = 0. a) Find an orthogonal basis for V. b) Which is the point over the plane x1 + 3x2 - 5x3 - x4 = 36 closest to the origin?
Find the smallest n so that f(x)=7x^3+5x^2 (logx )^3+2x+14 is O(x^n)
if Xn are iid continuous random variables in n according to the PDF of fx , and Z is a positive discrete random variable according to Y= sum of Xn. Find the MGF of Y in terms of Z and X 工、エ.D ARE CONTINUOUS RANDOM VARIABLES ACCORDIN IN TO 7IS OISTRI BUTION AND VAR TABLE DISCRETE A RANOOM PO SITLVE LET Y=X TERMS OF YIN MGF OF ERPRESS AND LJ
A particle that can move along the x-axis experiences an interaction force Fx=(3x2−5x)N where x is in m. Find an expression for the system's potential energy. Express your answer in terms of the variables x and the constant of integration C, where C is in joules.
let fx be a polynomial of degree <= to n whats the value of f(Xo, X1....Xn). explain Let f(x) = ao tai xt...... + Anxh be a polynomial of | degree less than or equal to n, and let {xo.xi... n} be distinct points What is the value of f[xo, X.. Xn] Justify / Explain.
fx (z)='0 otherwise Let Xa)<...<Xn) be the order statistics. Show that Xa)/X(n) and X(n) are independent random variables.
Find the minimum value. Minimize subject to C = 10xı + 31x2 - 5x3 X1 + 3x2 s6 4x2 + x3 s2 X1, X2, X3 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The minimum value C= occurs at X1 - X2 X3 = OB. There is no solution.
IID onsider the random sample Xi,... Xn ~ fx, for some population density fx with finite mean μ and variance σ2. Consider the estimator μη-n (4X1 Ση-2X,-2Xn) for the unknown mean of the population. (a) Show that A, is (b) Calculate the variance of An and show that its value tends to zero as n increases. (c) Compare μη to the sample mean estimator Xn, which of the two would you prefer as ,y2xy:the unbiased an estimator for μ?
1. Let Xn = 2 - 3 a) To what value x does xn converge? b) Find the smallest n, such that n > n. = |xn – x] < 0.1. c) Find the smallest no such that n > no [xn – x] < 0.005. d) Find the smallest no such that n > no = |xn – x] < 10-6. e) Find the smallest no such that n >no = |xn – x] < E.