Question

1. Short answers (25 pts) (you should submit your answers in a text file in the same folder as your python files.) a. Concerning numpy: i. What does import numpy as np do? ii. What does import math do? iii. Write a single line of Python code to create a 1-axis numpy array with the first 50 multiples of it assuming we have executed the code of parts a & b. i.e., [3.1416, 6.2832, 9.4248,...,157.07961) b. Concerning fsolve: i. Write the line of Python code to import fsolve. ii. In the Python code def Find_FlowRates (Q, *args): what does *args mean? iii. Write a line of Python code to use fsolve on the function defined in ii. with the arguments density, roughness, viscosity, roughness, seg_names, seg_lengths, seg_diams passed as arguments. iv. What should be returned from the function in ii.? v. What should be the result of fsolve from iii.? c. Concerning odeint: Given the python code x=odeint (ode_system, ic, t, myargs) i. What is passed to the function ode_system as arguments? ii. What is returned from the function ode_system?

Answer 1

a.Concerning numpy:

i. import numpy as np loads numpy submodules & constants and also gives a shorter name(alias) to numpy module so that we can call submodules by just using np.module_name instead of using numpy.module_name.It just makes coding easier.

ii. import math imports all the constants and sub modules of math library in the program.

iii.

import numpy as np

import math

a = np.array([i*math.pi for i in range(1,51)])

print(a)