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CLASSICAL MOTIVATION FOR THE RIEMANN–HILBERT …math.bu.edu/people/rmagner/Seminar/RHCorr.pdfX-module then F∨ denotes H om O X (F,O X) and F(x) denotes F x/m x F x; we call F(x)
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STAT509 Continuous Probability Distributions Recall: P(a < X < b) = = F(b) – F(a) F (a) = μ = E[X] = 2 = E[X 2 ] – μ 2 f(x) x x F(x)
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Describe each transformation: f(x) = -(x – 1) 2 + 4 f(x) = (x + 1) 2 – 2 f(x) = 2(x – 3) 2 + 1 f(x) = ½ (x + 2) 2 f(x) = -2x 2 + 3 f(x)
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Find ( f + g )(x f g )(x andFind ( f + g )(x), (f ± g)(x), (x),and x) for each f(x) and g(x). Indicate any restrictions in domain or range. 62/87,21 $16:(5 62/87,21
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x) · cot x = ¯csc 2 x d dx sec x = sec x tan x f(t) = 1 2 gt 2 + v 0 t + s0 v(t) = f'(t) a(t) = v'(t) = f"(t) d dx csc x = ¯csc x cot x d dx (f(x)⋅g(x))= f(x)g'(x)+ g(x)f'(x)
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