calculus

Greetings the problem: R is a region in the xy plane bounded by the parabola y=x^2+1 and line y=x+3. A solid of revolution is formed by rotating R around the x axis. I need to plot parabola and line in 2D and solid revolution 3D, How do it? I have installed anaconda. You could use plot_surface : import numpy as np import matplotlib.pyplot as plt import mpl_toolkits.mplot3d.axes3d as axes3d fig = plt.figure() ax = fig.add_subplot(1, 1, 1, projection='3d') u = np.linspace(-1, 2, 60) v = np.linspace(0, 2*np.pi, 60) U, V = np.meshgrid(u, v) X = U Y1 = (U**2 + 1)*np.cos(V) Z1 = (U**2 + 1)*np.sin(V)

This relates to an earlier question from back in June: Calculating expectation for a custom distribution in Mathematica I have a custom mixed distribution defined using a second custom distribution following along the lines discussed by @Sasha in a number of answers over the past year. Code defining the distributions follows: nDist /: CharacteristicFunction[nDist[a_, b_, m_, s_], t_] := (a b E^(I m t - (s^2 t^2)/2))/((I a + t) (-I b + t)); nDist /: PDF[nDist[a_, b_, m_, s_], x_] := (1/(2*(a + b)))*a* b*(E^(a*(m + (a*s^2)/2 - x))* Erfc[(m + a*s^2 - x)/(Sqrt[2]*s)] + E^(b*(-m + (b*s^2)/2 + x))*

I am currently working on a hobby project to automatically solve a puzzle from the popular mobile game I Love Hue . The game is available here . Basically, the whole premise of the game is that you're given a bunch of colored rectangular blocks organized in a grid. You can swap most of the blocks except for a few fixed blocks, which are marked by black dots. The object of the game is to swap the blocks around so you get a two-dimensional spectrum of color. The colors are sorted such that the color of each block is approximately the average of the colors around it. (Sorry, I don't know any