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MAE 284 Final Exam Questions & Answers 2024/2025
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MAE 284 Final Exam Questions & Answers 2024/2025 The parabolic interpolation method is based on fitting a parabola to three points on the function. - ANSWERSTrue The golden section method helps to minimize computational costs in finding a maximum/minimum. - ANSWERSTrue The key benefit to...

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  • October 30, 2024
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  • 2024/2025
  • Exam (elaborations)
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MAE 284 Final Exam Questions &
Answers 2024/2025

The parabolic interpolation method is based on fitting a parabola to three points on the function. -
ANSWERSTrue



The golden section method helps to minimize computational costs in finding a maximum/minimum. -
ANSWERSTrue



The key benefit to the golden section method is that we do not have to calculate both x1 and x2 at each
iteration. - ANSWERSTrue



The parabolic interpolation method is usually faster than the golden section method. - ANSWERSTrue



Adaptive Quadrature adjusts to use a smaller step size in areas where the function changes rapidly, and a
larger step size where the function changes slowly. - ANSWERSTrue



Romberg's method is a Newton-Cotes method. - ANSWERSTrue



The error for the "normal" accuracy versions of the forward, backward, and centered finite difference
approximations is O(h). - ANSWERSFalse



Numerical differentiation is not particularly susceptible to errors in data. - ANSWERSFalse



Simpson's 1/3 Rule approximates the function by a ______ -order polynomial. - ANSWERSSecond



Romberg's method is NOT a Newton-Cotes method. - ANSWERSFalse

, The only way to increase the accuracy of a numerical approximation of a derivative is to add more terms
in the Taylor Series used to derive the approximation. - ANSWERSFalse



The error for the "normal" accuracy versions of the forward, backward, and centered finite difference
approximations is O(h2). - ANSWERSFalse



The determinant of a matrix is a scalar. - ANSWERSTrue



If two rows of a matrix are interchanged, the determinant changes sign. - ANSWERSTrue



At the start of Gauss Elimination, the first equation is known as the pivot equation and the a11 element
is known as the pivot element. - ANSWERSTrue



A student wants to skip the next three MAE 284 labs, and is writing some MATLAB code to see what that
will do to their GPA. They need to name a variable, but for some reason can't remember which names
are valid.



Of the four potential variable names below, which one is valid? - ANSWERSGPA_no_skipping



MATLAB can solve problems without closed-form solutions. (T/F) - ANSWERSFalse



Which one of the following represents an input/output statement? - ANSWERSLook up this one



What will be the output of the following MATLAB code?



x = [7 6 5 4 3 2 1];



x(3) - ANSWERS5



The function name MUST be the same as the filename. (T/F) - ANSWERSTrue

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