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ENG1014 - Engineering Numerical Analysis - S1 2025

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If you double the size of the sampling interval, h, when integrating a function, f(x), with the trapezoidal, Simpson’s 1/3 and Simpson’s 3/8 methods, the truncation errors for individual intervals will change by factors of…

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Consider the root-finding equation below. What is the function value of the root after 1 iteration using the Newton-Raphson method with ?

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Consider the following function:

def get_values():

        a = 3

        b = 5

        return a, b

Which of the following function calls will not return an error?

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Which of the following sets of linear equations

expressed in terms of their corresponding augmented matrices can be solved to give a unique solution for

each of the unknowns?

(i)

(ii)

(iii)

(iv)

(v)

(vi)

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If cell A1 contains information that must appear as a constant in a formula copied and pasted over a range of empty cells, how must the formula refer to the cell as?

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Which of the following operations does not have a computational complexity of ?

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Consider a 4-by-4 subplot. Which of the following statements will reference the panel located in the 2nd row, 3rd column?

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How many iterations occur when running the following loop?

import numpy as np

k = np.linspace(4,3,20)

for h in range(1, len(k)):

   k[h] = k[h]**2 + k[h]

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Which of the following set contains variable names that are ALL valid in Python?

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What is the value of p after two iterations of the following loop?

p = 1

for k in range(0,100,2):

    p = k**0.5

p += 3

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