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MAE 284 Final exam Questions and Answers 100% Pass

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MAE 284 Final exam Questions and Answers 100% Pass The parabolic interpolation method is based on fitting a parabola to three points on the function. - ANSWER-True The golden section method helps to minimize computational costs in finding a maximum/minimum. - ANSWER-True The key benefit to th...

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MAE 284 Final exam Questions and

Answers 100% Pass


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

ANSWER✔✔-True


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

ANSWER✔✔-True


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

iteration. - ANSWER✔✔-True


The parabolic interpolation method is usually faster than the golden section method. - ANSWER✔✔-True


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. - ANSWER✔✔-True


Romberg's method is a Newton-Cotes method. - ANSWER✔✔-True


The error for the "normal" accuracy versions of the forward, backward, and centered finite difference

approximations is O(h). - ANSWER✔✔-False


Numerical differentiation is not particularly susceptible to errors in data. - ANSWER✔✔-False


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


Romberg's method is NOT a Newton-Cotes method. - ANSWER✔✔-False



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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. - ANSWER✔✔-False


The error for the "normal" accuracy versions of the forward, backward, and centered finite difference

approximations is O(h2). - ANSWER✔✔-False


The determinant of a matrix is a scalar. - ANSWER✔✔-True


If two rows of a matrix are interchanged, the determinant changes sign. - ANSWER✔✔-True


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. - ANSWER✔✔-True


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? - ANSWER✔✔-GPA_no_skipping


MATLAB can solve problems without closed-form solutions. (T/F) - ANSWER✔✔-False


Which one of the following represents an input/output statement? - ANSWER✔✔-Look up this one


What will be the output of the following MATLAB code?




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




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