1.
Initial Investment outlay=17+4
=21 million
=21000000
2.
No as it is a sunk cost
3.
The project's cost will increase
(Exponential martingales) Suppose O(t,w) = (01(t, w),...,On(t,w)) E R" with Ox(t,w) E VIO, T] for k = 1,..., n, where T < 0o. Define 2. = exp{ jQ1, wydBlo) – 4 640,w.do}osist where B(s) ER" and 62 = 0 . 0 (dot product). a) Use Ito's formula to prove that d24 = 2:0(t,w)dB(t). b) Deduce that 24 is a martingale for t <T, provided that Z40x(t,w) € V[O,T] for 1 sk sn.
1. Substituting E(r,t) = (1, 0, 0)E, exp[i(kyy+kız – wt)] into Helmholtz equation: V’E(r,t) = (us)ə’E(r,t)/ət?, to prove that w/k = 1/(us)1/2. Here, (1, 0, 0) is a vector, k = (0, ky, kz) is the wavevector, and k? = ky?+ ką?.
5. Arandom prices of X(t) is known to be wide-sense stationary with E[X (t)] 11. Give one or more reasons why each of the following expressions cannot by the autocorrelation function of the process: a. Rult, t + r) = cos(8t)exp(-(t+r)2) b. R (tt)sin(2)+2) R,x(t, t + τ) = 1 1 sin(5(T-2))/(5(r-2)) Rxx(t,t+r)=-11e" d.
5. Arandom prices of X(t) is known to be wide-sense stationary with E[X (t)] 11. Give one or more reasons why each of the following expressions...
1) For s_2t5j (has to sections) r, e, ,o, T, ,T, and M% (provide the correct units when applicable) a, compute ζ,
1) For s_2t5j (has to sections) r, e, ,o, T, ,T, and M% (provide the correct units when applicable) a, compute ζ,
38. The ATCF Formula is: a. (R-E) (1-t) t(D) b. (R E) t-t(D) c. (R-E)t +(1-T)D
The parameters are as follows
k=0.1,a=1.00,b=1,c=1.0,d=25,w_1=20,w_2=25,Kv=50
e(t) r(t) e (t) G(s) Figure 1: Feedback control system A pulley and belt transmission has a linearized relationship between the driven pulley angle e (t) in degrees and the input torque u(t) in Newton meters given by the following differential equation du(t) dt A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met 1....
Problem 4.9
(e) /(z) = and γ is parametrized by r(t), 0 z + t 1, and satisfies Imr(t)> 0, r(0) -4 + i, and γ(1) 6 + 2i (f) f(s) sin(z) and γ is some piecewise smooth path from 1 to π. 4.2 and the fact that the length of γ does not change under 4.9. Prove Proposi reparametrization. (Hint: Assume γ, σ, and τ are smooth. Start with the definition off, f, apply the chain rule to σ...
Let exp(-т*) + vk Yk where dent M and V N(0, o2 are mutually indepen R, k = 1, (a) Construct the likelihood T(y|x) and the negative log-likelihood. (b) Compute the maximum likelihood estimate îML (c) Bonus question: How does the estimate change if E(k) t0?
Let exp(-т*) + vk Yk where dent M and V N(0, o2 are mutually indepen R, k = 1, (a) Construct the likelihood T(y|x) and the negative log-likelihood. (b) Compute the maximum likelihood estimate...
Find the Laplace Transform of x(t) below: (x(t) 1 21 14 6 -1 O O O O O O O O OO X(5) = (1/s) exp(-25) - (175) exp(-45) X(s) = -(1/5) exp(-25) + (1/5) exp(-45) X(5) = (1/s) exp(-25) - (1/5) exp(-45) + (1/5) exp(-6) X(s) = (1/s) exp(-4s) - (1/s) exp(-6) X(s) = -(1/5) exp(-25) + (2/5) exp(-45) - (1/s) exp(-6s) X(s) = (1/5) exp(-25) + (1/5) exp(-45) + (1/s) exp(-6) X(s) = -(1/5) exp(-45) + (1/s) exp(-6)...
Use your I n y o u r own w o r d s, e x p l a i n p er i o d i c m o t i o n, a n d g i v e e x a m p l e s. In your own words, explain energy in simple harmonic motion. Describe stress, strain, and elastic deformation, and give examples.