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In Spivak's Calculus 3rd Edition, there is an exercise to prove the following: $$x^n - y^n = (x-y) (x^ {n-1} + x^ {n-2} y + ... + x y^ {n-2} + y^ {n-1})$$. I can't seem to get the answer.
May 30, 2021 · Sound Horizon – 1° Pleasure – Pico Magic – Recopilatorio (Sub. Español) Resumen: Es un disco aleatorio, el cual solo tiene unas cuantas canciones nuevas relacionadas con horizontes pasados y futuros.
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First-Order Linear Equations. Solve first-order linear differential equations: y' (t) - 2y (t) = 3 e^ (2t) x y' (x) - 4 y (x) = x^6 exp (x), y (1) = 0. See the steps for using Laplace transforms to solve an ordinary differential equation (ODE): solve y' (t) - 3y (t) = delta (t - 2), where y (0) = 0.
We then write \begin {align}%\label {} \nonumber g (Y)=E [X|Y]. \end {align} We use this notation to indicate that $E [X|Y]$ is a random variable whose value equals $g (y)=E [X|Y=y]$ when $Y=y$.
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(b) Let x[n] and y[n] be periodic signals with fundamental periods Ni and N 2, respectively. Under what conditions is the sum x[n] + y[n] periodic, and what is the fundamental period of this signal if it is periodic? (c) Consider the signals x(t) = cos-t + 2 sin 3 ' 33 y(t) = sin irt
