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ENG1014 Engineering Numerical Analysis - MUM S2 2025

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Consider t = nppoly.polyfit(x, y, 2). Which of the following statements is equivalent to  w = lambda c: nppoly.polyval(c, t)?

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Which of the following is the output of p after the following commands

x = np.arange(-5,5.1,0.1)

f = lambda y: y**2 + y - 5

p = nppoly.polyfit(x, f(x), 2)
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Consider the following non-linear equation where x is the independent variable, y is the dependent variable, and A and B are constants.

Which of the following is the resulting constant (vertical axis-intercept) in linearised form?

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Consider the following non-linear equation where x is the independent variable, y is the dependent variable, and A and B are constants.

Which of the following is the resulting gradient variable in linearised form?

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You wish to fit a linear relationship to the points listed below, where the points have the format (xi, yi):

(1.2, 7.9)

(1.8, 6.6)

(2.4, 5.9)

(2.8, 5.5)

(3.2, 4.6)

(3.8, 4.1)

Using a Python function of your choice, determine the gradient, y-intecept and coefficient of determination, all to 4 decimal places. These are...

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Consider A to be a p×q array, where p and q are integers. Which of the following will extract the single minimum value of A?

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Which of the following statements produces Euler's constant (2.718)?

Hint: there may be multiple correct answers.

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Consider X as a 1000-by-1000 array. Which of the following statements will extract the minimum value in each column in X?

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