Python 4 Engineers — Even More Exercises!
More Practising Coding Questions in Python! — #PySeries#Episode 09
What follows are 10 Q&A plus 2 bonus:
Let’s get it on!
01#PyEx — Python — Imaginary Number:
Given z_1=3+4j and z_2=-5+14j. Compute z_1/z_2:Solution:
z_1=3+4j
z_2=-5+14j
z_1/z_2(0.18552036199095023-0.28054298642533937j)02#PyEx — Python — Linear System:
What is the function in Python to solve Linear Systems?Solution:
np.linalg.solve()03#PyEx — Python — Definite Integral:
Using Python, compute integral of f(x) = x³+cos(x) in a range [0,3]:Solution:
from sympy import *
x,f=symbols(“x f”)
init_printing()
f=x**3+cos(x)
integrate(f,(x,0,3))sin(3)+4/8104#PyEx — Python — Indefinite Integral:
Calculate the indefinite integral of the function:
f’(x) = 6x⁵+cos(x);Solution:
from sympy import *
x,f=symbols(“x f”)
init_printing()
f=6*x**5+cos(x)
integrate(f,x)x^6+sin(x)05#PyEx — Python — Vectorial:
What is the function in Python to solve vector products?Solution:
uXv=np.cross(u,v)06#PyEx — Python — Linear System:
Using python, solve the following linear system:
4x-3y+z=15
x+y+3z=27
2x+3y-4z=31Solution:
import numpy as np
A=np.array([[4,-3,1],[1,1,3],[2,3,-4]])
b=np.array([[15],[27],[31]])
x=np.linalg.solve(A, b)
print(x)[[9.2345679 ]
[8.35802469]
[3.13580247]]07#PyEx — Python —Points Interpolations:
Get through python the function that interpolates the points:
A(1,5), B(3,4), C(5,9) and D(9,11):Solution:
from scipy.interpolate import *
x=[1,3,5,9]
y=[5,4,9,11]
f=lagrange(x,y)
print(f)-0.1354 x^3 + 1.969 x^2 - 6.615 x + 9.78108#PyEx — Python — Linear Regression:
Which best line that fits these points?
A(1,5), B(3,4), C(5,9), and D(9,11)Solution:
import numpy as np
import matplotlib.pyplot as pyp
from scipy import stats
x=np.array([1,2,3,4,5])
y=np.array([180,120,150,190,210])
a,b,correlation,p,error=stats.linregress(x,y)
print(‘Regression line: y=%.2fx+%.2f’% (a,b))
print(‘Correlation Coefficient: r=%.2f’% correlation)
f=a*x+bRegression line: y=13.00x+131.00
Correlation Coefficient: r=0.5809#PyEx — Python —Vectorial:
Given the vectors:
u = (7, -22, 13) and
v = (-1, 11, 23);
calculate u.v and uXv:Solution:
import numpy as np
u=np.array([[7,-22,13]])
v=np.array([[-1,11,23]])
uv=np.inner(u,v)
uXv=np.cross(u,v)
print(uv)
print(uXv)[[50]]
[[-649 -174 55]]10#PyEx — Python — Trigonometry:
What is the angle which cosine is -0.6544?Solution:
import numpy as np
angle=np.arccos(-0.6544)
np.rad2deg(angle)130.8741704218152801Bonus#PyEx — Python — Derivative:
Can we calculate the derivative in python using?Solution:
Yes. use lib simpy and diff command02Bonus#PyEx — Python — Derivative:
Can we calculate the integrate in python using?Solution
Yes. Use lib simpy and integrate commandSee you in next PySeries!
Bye, for now, o/
Download all Files from the Colab Repo
References & Credits
Thank you, Mr. Ricardo A. Deckmann Zanardini — You are an Awesome Teacher! o/; Text published while I’m studying Computer Engineer at Escola Superior Politécnica Uninter🏋!
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