mick001

import java.util.Scanner;
import java.util.Random;

public class SentenceGeneratorMain 
{
	public static void main(String[] args) 
	{
		//Variables declaration and initialization
		Scanner reader = new Scanner(System.in);
		String input = new String();

mick001

# >>> 
# Taylor expansion at n=1 x
# Taylor expansion at n=3 -x**3/6 + x
# Taylor expansion at n=5 x**5/120 - x**3/6 + x
# Taylor expansion at n=7 -x**7/5040 + x**5/120 - x**3/6 + x
# Taylor expansion at n=9 x**9/362880 - x**7/5040 + x**5/120 - x**3/6 + x

mick001

import sympy as sy
import numpy as np
from sympy.functions import sin,cos
import matplotlib.pyplot as plt

plt.style.use("ggplot")

# Define the variable and the function to approximate
x = sy.Symbol('x')
f = sin(x)

mick001

# Plot results
def plot():
    x_lims = [-5,5]
    x1 = np.linspace(x_lims[0],x_lims[1],800)
    y1 = []
    # Approximate up until 10 starting from 1 and using steps of 2
    for j in range(1,10,2):
        func = taylor(f,0,j)
        print('Taylor expansion at n='+str(j),func)
        for k in x1:

mick001

% Solid of revolution %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
syms x
syms y

% Cone height
h = 10;

% Our generator function
y1 = @(x) 1/2*x;

mick001

% Output

% v =
% 
% (250*pi)/3

mick001

# Solid of rotation: a cone
#-------------------------------------------------------------------------------

# Our function to generate the solid of rotation
foo <- function(x)
{
    return(0.5*x)
}

# This function integrates f^2 over the given [a,b] interval

mick001

# Output
# >>> ================================ RESTART ================================
# >>> 
# Actual area: 5208.333333333333
# 
# Approximating using rectangular rule...
# Percentage error:  -0.0104123281966 %
# Approximation: (5207.7910245730936, -0.010412328196596356)
# 
# Approximating using trapezoidal rule...

mick001

import numpy as np
import matplotlib.pyplot as plt
plt.style.use('ggplot')

# Initial function given
def f(x):
    return x**2


# Definite integral of the function from a to b

mick001

import matplotlib.animation as animation
import matplotlib.pyplot as plt
import visual as v
import numpy as np
import time

plt.style.use('ggplot')

class My_mechanism(object):