Show that for an ideal gas Cp=yR/(y-1), Cv=R/(Y-1) and Cp-Cv=R
*15.78 Refer to the Spearman rank correlation coefficient of Section 15.10. Show that, when there are no ties in either the x observations or the y observations, then rs = n(n2 1) where di = R(x)-R(w) *15.78 Refer to the Spearman rank correlation coefficient of Section 15.10. Show that, when there are no ties in either the x observations or the y observations, then rs = n(n2 1) where di = R(x)-R(w)
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
Consider d on R defined by d(x, y) = ?|x − y|. (1) Show that (R, d) is a metric space. (2) Show that the path γ(t) = t, t ∈ [0, 1] has infinite length. Remark: On (2), you only need to verify by the partitions of equal distances. Although this is slightly different from the actual definition, it indeed implies that length equals to infinity, by using some techniques in the Riemann sum (e.g. refining a partition). This...
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Useful constant: R-0.08315L.bar/K.mol, 0.08206L.atm/K.mol or 8.314J/K.mol, Cv(any monoatomic gas) 3R/2 and Cp-Cv+ R for an ideal gas. Section I 1. Assuming that CO2 is an ideal gas, calculate ASo (in the unit, J K:1) for the following process 1 CO (g, 298 K, 1 bar) 1 CO (g, 1000 K, 1 bar) Given that: Cv 18.334 + 42.262 x 103 T - 142.4 x 10-7 T2 (where Cv is in of JK-1)
1. (a) Sketch the subset of Rs given by B = {x € R): | x | 1}. The following intermediate steps may help to guide you towards a final sketch i Sketch the intersection of B with the ry-plane, : = 0. ii Sketch the intersection of B with the y-plane, x = 0. Final sketch of B (b) If b, and b, E B must it be true that bi + b2 € B? Justify your answer.
2. Consider a random sample of size n from an exponential, X, EXPo). Define 69, x and θ,-nx /( n +1). a. What is the MSE of What is the MSE of θ2 b. what is the CRLB for the variance of unbiased estimators of θ ? Show that g is a UMVUE of θ. d. 2. Consider a random sample of size n from an exponential, X, EXPo). Define 69, x and θ,-nx /( n +1). a. What is...
Q1 and Q2 (please also show the steps): Q1 Prove that MSE) = Var(ë) + Bias(@?, i.e., El(Ô – 9)2) = E[(O - ECO)?] + [ECO) – 6)2. Q2 Suppose X1, X2, ..., X, are i.i.d. Bernoulli random variables with probability of success p. It is known that = is an unbiased estimator for p. n 1. Find E(2) and show that p2 is a biased estimator for p? (Hint: make use of the distribution of x. and the fact...
If z = f(x, y), where x = r + s and y=r – s, show that 2 2 дz Әх дz ду дz дz მr as