Obtain the analitical solution: I=121 in^4 , L=120in , E= 29x10^6 lb/in^2 , w= 10000 lb/in , tension T=10 000lb
y''−αy = βx(L−x)
α =T/ EI
β = w /2EI
Obtain the analitical solution: I=121 in^4 , L=120in , E= 29x10^6 lb/in^2 , w= 10000 lb/in , tension T=10 000lb y''−αy = βx(L−x) α =T/ EI β = w /2EI
The general solution to the second-order differential equation d2ydt2−4dydt+7y=0d2ydt2−4dydt+7y=0 is in the form y(x)=eαx(c1cosβx+c2sinβx).y(x)=eαx(c1cosβx+c2sinβx). Find the values of αα and β,β, where β>0.β>0.Answer: α=α= and β=β=
Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2.
a) (9 pts) Find the moment generating function ofW Justify all steps b) (3 pts) Based on your result in part (a), what is the distribution of W(name and parameters)? n 2N(O, I) 2. IfZ NO, 1), then Ux(1) 3. ItY Gmmaa,B) and W then Wx(n) - s, and i-1 7. y's~ Poisson(W (i-l, ,Rind) and U-ŽYi, then U-Poisson(XA) 8 If%-Gamma(a, β) (i-I, ,Rind) and U-ΣΥί , then U~Gamma( ,4 β).(Note: all same β) 9...
.α=2 β=2
1. Consider the following initial-value problem. y' = e(1+B)* In(1 + y²), 0<t<1 y (0) = a +1 a) ( 15p.) Determine the existence and uniqueness of the solution. b) ( 15p.) Use Euler's method with h=0.25 to approximate the solution at t=0.5. {v=
Question 2 (10 points) You are given the following model y-put ei. Consider two alternative estimators of β, b2xvix? and b = Zy/X 1. Which estimator would you choose and why if the model satisfies all the assumptions of classical regression? Prove your results. (4 points) 2. Now suppose that var(y)-hxi, where h is a positive constant (a) Obtain the correct variance of the OLS estimator. (2 points) (b) Show that the BLU estimator is now 6. Derive its variance....
, Xn is a sample from a uniform distribution (o, e), you already saw that t-X(n) is the me их1, X2, Of θ. obtain the formula for the confidence interval for θ by using the distribution of Y-X(n)/9. That is, find the α/2 th percentile and the (1-α/2) th percentile of the distribution of w-X(n)/9. hie by solving for w-α/2 Hint: Obtain wi-a/2 in the equation: And obtain Wa/2 by solving for Wa/2 in the equation: Note: the distribution of...
Marmmmmmm Tension (mN) X Y Z ó 2 4 6 8 Time (s) 10 12 11. Based on the 12-second interval in Figure I, calculate the heart rate. 12. Based on Figure I, draw the corresponding myocardial spikes that would accompany the muscle tension changes.
mmmmmmm Tension (m) X Y Z 2 4 6 Time (s) 8 10 12 9. Based on Figure I, identify the cardiac event that occurred during: 10. Based on Figure I, identify the number of: a. atrial systole b. ventricular systole
All that I need to explain how we get 0.44725 in Part (f)
(i) Obtain the expected values of X and Y E(X)-0.29; E(Y)-0.27 (ii) Obtain the variances of X and Y 2.2 . 10-4 Var(X) Var(Y) - 9.874 105 (d) Write down the test statistic for testing Ho: p1 p2 versus Ha: p1 p2 Test St = 2 where the "pooled" standard deviation is n+ n 2 with ơf-Var(X) and σ Var(Y) and nı'n, adjusted accordingly. (e) What is...
Consider a TEM plane wave with electric field Ei) = Â E)e-ikız normally-incident on the finite-thickness slab shown below. E 1 €2 E 1 ZEL Z=L Write the reflected electric field as E(") = EY") eikız, the field inside the slab as E(2) = î (Ae-ik3z + Beikaz), and the transmitted field as E(t) = Â Ce-iki(z-L). (a) Determine the magnetic fields H and enforce the boundary conditions at z = EL to obtain 4 equations in the 4 unknowns...