Answer:D) Hardware failure
Explanation: Fatal error are those which stops the function execution of the operating system during the run-time in the Microsoft Windows . These errors. These errors are seen the Microsoft windows due to the major reason of the hardware failure, accessing of the invalid code,operating system files might get corrupted etc. Therefore, the correct option is option(D).
Use a code validation tool.
Here's what I found
To use an aggregate device with Logic:
Open Logic Pro or Logic Express.
Choose Logic Pro > Preferences > Audio or Logic Express > Preferences > Audio and select the Devices tab.
Select the Output Device drop-down menu and choose the aggregate device from the list. ...
Click Apply Changes at the bottom-right of the window.
Answer:
import numpy as np
import matplotlib.pyplot as plt
def calculate_pi(x,y):
points_in_circle=0
for i in range(len(x)):
if np.sqrt(x[i]**2+y[i]**2)<=1:
points_in_circle+=1
pi_value=4*points_in_circle/len(x)
return pi_value
length=np.power(10,6)
x=np.random.rand(length)
y=np.random.rand(length)
pi=np.zeros(7)
sample_size=np.zeros(7)
for i in range(len(pi)):
xs=x[:np.power(10,i)]
ys=y[:np.power(10,i)]
sample_size[i]=len(xs)
pi_value=calculate_pi(xs,ys)
pi[i]=pi_value
print("The value of pi at different sample size is")
print(pi)
plt.plot(sample_size,np.abs(pi-np.pi))
plt.xscale('log')
plt.yscale('log')
plt.xlabel('sample size')
plt.ylabel('absolute error')
plt.title('Error Vs Sample Size')
plt.show()
Explanation:
The python program gets the sample size of circles and the areas and returns a plot of one against the other as a line plot. The numpy package is used to mathematically create the circle samples as a series of random numbers while matplotlib's pyplot is used to plot for the visual statistics of the features of the samples.