Determine the parameters A, A1, Xo, Xi making the following integral with algebraic accuracy. Please calculate...
Let Xo and Xı be independent exponentially distributed random variables with re- spective parameters Ao and ^i, so that, P(Xi t)eAit, for t2 0, i = 0,1 Let 0 if Xo X1, N = 1 if X1X0, min{Xo, X1}, M = 1 - N, V = x{X0, X1}, and W = V -U = |X0 - X1]. and U max Verify that U XN and V XM, then find the following: (a) P(N 0, U > t), for t 2...
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| | xo = 0 Xi = 2 x2 = 4 f(x) = 2 f(x1) = 6 f(x2) – 10 Consider the differential equation dy – Ax+ 4 where A is a constant. dx Let y = f(x) be the particular solution to the differential equation with the initial condition f(0) = 2. Euler's method, starting at x = 0) with a step size of 2, is used to approximate f(4). Steps from this approximation are shown in the...
To calculate E[|X_i|], why do we multiply the integral by 2?
Let X1, X2,.. ., X, be a random sample from a N(0, e) distribution. Wewant to estimate the 5 standard deviation A.Find the constant c so that Y C ^-1 IXil is an unbiased estimator of A and determine its efficiency. From the information, consider X,,X,..., X, is a random sample drawn from a normal 2 distribution with mean 0 and variance 0 That is, X,O N(0,0) i= 1,2,...,n...
CALCULUS Consider the function f : R2 → R, defined by ï. Exam 2018 (a) Find the first-order Taylor approximation at the point Xo-(1, -2) and use it to find an approximate value for f(1.1, -2.1 (b) Calculate the Hessian ã (x-xo)' (H/(%)) (x-xo) at xo (1,-2) (c) Find the second-order Taylor approximation at Xo (1,-2) and use it to find an approximate value for f(1.1, -2.1) Use the calculator to compute the exact value of the function f(1.1,-2.1) 2....
PLEASE PLEASE,ONLY ANSWER THIS QUESTION IF YOU COULD
GIVE ME THE MATLAB CODE.THANK YOU.
Consider the following Ordinary Differential Equation (ODE): dy = 3.0*** + 1.08 * 210 – 3* y2 dat with initial condition at point xo = 0.375: Yo = 0.0044 Apply Runge-Kutta method of the second order with h = 0.25 and the set of parameters given below to approximate the solution of the ODE at the three points given in the table below. Fill in the...
xi = a + idelta x
Question 3 Use the following definition to evaluate the integral. 4 Theorem Iff is integrable on [a, b], then 76) dx = lim Sra where and 11 (x2+5)dx Upload Choose a File
Problem 4 Suppose X1, ..., Xn ~ f(x) independently. Let u = E(Xi) and o2 = Var(Xi). Let X Xi/n. (1) Calculate E(X) and Var(X) (2) Explain that X -> u as n -> co. What is the shape of the density of X? (3) Let XiBernoulli(p), calculate u and a2 in terms of p. (4) Continue from (3), explain that X is the frequency of heads. Calculate E(X) and Var(X). Explain that X -> p. What is the shape...
Answer both problems
please.
Problem 5 Accurately sketch the following function and evaluate the integral 15 Points - (s(6-(4) W 3W x(t) A tri 3W W A tri dt Xo= Problem 6: Accurately sketch the double-sided Amplitude and Phase Spectrum of the following signal. Consider f > f 15 Points A cos(2t ft - <p)cos(2t f,t - <p,) x(t)
Fourier Integral
#3 is demostrate Fourier Integral and #4 is calculate
transform
Integral de Fourier 4w B(w) = T(1 + w?)? 3. Sea: f(x) = xe-HI Pruebe que: A(w) = 0 Transformada 4. Calcule la transformada de f(x) = || if 0 5x<1 0 otherwise ---
2. The following integral 2 dr can be computed exactly (a) Estimate the integral using the composite trapezoidal rule with n = exact value of integral and compute the true percent relative error for this approximation 4. Calculate the (b) How many subintervals would be needed to estimate the integral with the composite trapezoidal rule with an accuracy of 102? (c) Estimate the integral using the composite Simpson's 1/3 rule with n = true percent relative error for this approximation...