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Tobacco and alcohol use are leading causes of mortality that influence risk for many complex diseases and disorders 1They are heritable 2,3 and etiologically related 4,5 behaviors that have been resistant to gene discovery efforts 611In sample sizes up to 12 million individuals, we discovered 566 genetic variants in 406 loci associated with multiple stages of tobacco useClick here👆to get an answer to your question ️ If g(x) = x^2 x 1 and (gof)(x) = 4x^2 10x 5 , then f (54) is equal toP(x) = x 4 (30) Find (g f q)(t) for g, f, and q below q(t) = p x (31) f(t) = x2 (32) g(t) = 5x9 (33) Find (f g h j)(x) for the functions below HINT Look at f and think about what will happen to it no matter what we plug into f j(x) = 4x9 3sin(x) (34) h(x) = ln(x) (35) g(x) = 4x (36) f(x) = 1 (37) answers in order 4x2 40x 104, 5t9, 1 3

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Problem Set 2 Solutions 3 MIT Professor Gerbrand Ceder Fall 03 1 P S(U, V) dS = dU dV T T Problem 11 Variables here are U and V and intensive variables are 1 and P T T To go to 1 T as a natural variables take the Legendre transform by subtracting U from S TT ;# z t K Ø ä ê ñ !Key If there is an IPA symbol you are looking for that you do not see here, see HelpIPA, which is a more complete listFor a table listing all spellings of the sounds on this page, see English orthography § Soundtospelling correspondencesFor help converting spelling to pronunciation, see English orthography § Spellingtosound correspondences

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Yc(t) = c xc(t) If we can write c = Aej', then A is the amplitude and ' is the phase of the output relative to the amplitude and phase of the input 321(y)x c 2(y) and u = c 3(x)y c 4(x), respectively Equating these two functions gives u = axy bx cy k Alternatively, uxx = 0 gives u = c 1(y)x c 2(y) Then from uyy = 0, we get uyy = c′′ 1xc′′2 = 0, hence c′′ 1 = 0,c′′2 = 0, and by integration c 1 = αy β, c 2 = γy δ and by substitution in the previous expression uThe Fourier transform of x(t) is X(w) = x(t)e jw dt = fet/2 u(t)e dt (S911) Since u(t) = 0 for t < 0, eq (S911) can be rewritten as X(w) = e(/ 2w)t dt 2 1 j2w It is convenient to write X(o) in terms of its real and imaginary parts X(w) 2 1j2 2 j4w 1 j2w 1 j2wJ 1 4W2 2 4w 1

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