Given the half-cells: Ni/Ni+2 and Fe/Fe+2 Chose the anode and cathode. Calculate E° and ΔG° for this reaction. Calculate what the new cell potential (E) would be if the concentrations were [Ni+2] = 0.40 M and [Fe+2] = 0.30 M. Calculate how long you would have to run the battery at 6 amps to make the E drop by 0.03 volts, and calculate how many grams of anode you lose by that time. Using the equations: ΔG° = -nFE° ln...
2. Suppose that Y is a standard normal random variable (a) Calculate E Y3] and E Y4 using the moment generating function of Y. (b) Define a new random variable Z = a + bY +cY2. Find the moment generating function of Z, and use it to obtain EZ] and EZ
1. Su the following to 2 decimal places. nE(X) = 2, Var(X) = 9, E(Y) =0, Var(Y) = 4, and Corr(X,Y) = 0.25. Find a. Var(X +Y) b. Cov(X, X +Y) c. Corr(X+Y,x-Y).
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(b) F = (3xy?, y3, ez?+y?) and S is the part of the surface 2 = 1 – 22 – y2 that lies above xy-plane oriented upwards. (Note that S is not closed.)
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1. (a) Show that ez 3 2 = + if and only if 2 = ( +20k) : + 2nk i for k e Z. 2
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1 Let A = (4 22 a) Find elementary matrices E, Er Ez - such that 2 E3 E₂E, A = I b) Find A