Problem 5 Diagonalize B and compute XA*X-1 to prove this formula for Be, (sections 6.1, 6.2) Bk=15+ 5+-4k has 0 41, Compute also , end sin 0 4 Problem 5 Diagonalize B and compute XA*X-1 to prove...
<HW 15 Sections 6.1-6.2 Fundamental Problem 6.8 A beam is shown in the figure below. (Figure 1) Figure 1 of 1 20 KN 20 kN/m Copyright © 2020 Pearson Education Inc. All rights Part A Draw the shear diagram for the beam. Note - Make sure you place only one vertical line at places that require line. If you inadvertently place two vertical lines at the same place, it w visually correct because the lines overlap, but the system will...
2. Consider the problem 51 2 3 1 07-131 x>0, XA + x3 = min. [4 5 6 0 1]+=9]: ** Start with the feasible solution tº = [0,0,0,3,9]. Compute an optimal solution by the revised simplex algorithm. (This is a Phase I calculation for Problem 1.) 2 Albanied imalapit
2. Prove Leibniz' formula: 0 2k + 1-4 A Road Map to Glory a. Explain why k = 0, 1, 2, .. .. sin(kπ + π/2) = (-1)" (a) Explain why the trigonometric Fourier series of the function f (x)- be expressed solely as a sine series, specifically: ,sin(nz) sin(n) c. Compute(f,sinn). Simplify your work by explaining why 〈f,sin(nz)) = sin(nz) dr d. Does the Fourier series converge at x = π/2? Evaluate the Fourier series and f at π/2...
Problem 5. Prove that parametric equations: x a-cosh(s) (a > 0) or back half(a < 0) of hyperboloid of one sheet: Χ t), y b-sinh(s) cos (t) zc-sinh(s) sin( t), (x,y,z) lies on the front half L" a2 b2 c2 Problem 6 What graph of this Compute the arc length : rit)- < sin t, cos t, 2Vt', when 0<t < function: a) Compute the arc length : re)-3cos(9) and 0 < θ < π/2 b) Problem 7. Find parametric...
Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2 Problem 5: (15 points) (a) Find the limit sin(2x)-2c lim ェ→0 (b)Find the limit lim (sin1/x-/2) ι π /2
Question 5 15 marks] Let X be a random variable with pdf -{ fx(z) = - 0<r<1 (1) 0 :otherwise, Xa, n>2, be iid. random variables with pdf where 0> 0. Let X. X2.... given by (1) (a) Let Ylog X, where X has pdf given by (1). Show that the pdf of Y is Be- otherwise, (b) Show that the log-likelihood given the X, is = n log0+ (0- 1)log X (0 X) Hence show that the maximum likelihood...
(1 point) Solve the nonhomogeneous heat problem u, = Uxx + 5 sin(5x), 0<x<1, u(0,t) = 0, u1,t) = 0 u(x,0) = 4 sin(4x) u(x, t) = Steady State Solution lim 700 u(x, t) =
which part b uses the answer from part a. 4. (35 pts) Let f(x) = x(1-x) for 0 < x < 1. (a) (15 pts) Compute the Fourier cosine series FCS f(x). (b) (5 pta) Find the formal solution of the problem BC u,(O, t)-u(1,t)-0, (c) (5 pts) Show that there can be no solution of problem (A) which is Ca for 0 S S 1 and (d) (10 pts) Show that there is a Co solution of the DE...
5. (15 points) Let X, Ybe random variables with joint density Consider the transformation V=-X + Y (a) Compute the formula for the inverse transform T-1. (b) Compute the Jacobian J of T-1. (c) Determine the joint density function for U, V Be sure to consider the domain 5. (15 points) Let X, Ybe random variables with joint density Consider the transformation V=-X + Y (a) Compute the formula for the inverse transform T-1. (b) Compute the Jacobian J of...
I. [15 marks] Apply ST/2(0, π/2) and ST/4(0, π/2) to sin x dx, 0 where Sh(a, b) is Simpson's rule applied to the interval [a, b] with hb a. Use s,/2 (0, π/2) and Sn4 (0, π/2) to compute an error estimate for STT/4 (0,7/2). Comment on the quality of the error estimate. I. [15 marks] Apply ST/2(0, π/2) and ST/4(0, π/2) to sin x dx, 0 where Sh(a, b) is Simpson's rule applied to the interval [a, b] with...