MAE 284 FINAL UAH EXAMINATION TEST COMPLETE QUESTIONS AND ANSWERS FULL SOLUTION VERIFIED

MAE 284 FINAL UAH EXAMINATION TEST
COMPLETE QUESTIONS AND ANSWERS
FULL SOLUTION VERIFIED

●● A single application of the Trapezoidal Rule requires computing the
value of the function at how many points?
8 , 3, 2, 4
Answer: 2


●● Simosn's 1/3 Rule approximates the function by a _____
Answer: parabola


●● Gauss quadrature is a class of techniques for evaluating the area by
joining the function values at points on a curve that do not need to
include the endpoints (T or F)
Answer: True


●● Romberg's method can be used to combine two O(h^2) estimates of
the integral to obtain a single O(h^4) estimate (T or F)
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 (T or F)
Answer: True


●● Integration is equivalent to finding the area under a function for
positive functions (T or F)
Answer: True


●● The Trapezoid Rule will result in zero error for a _____
(Select all that apply)


2nd order polynomial
1st order polynomial
4th order polynomial
3rd order polynomial
Answer: 1st order polynomial (straight line)


●● The Hybrid Simpson's approach can be used to obtain the integral
over an interval divided into n=5 segments. (T or F)
Answer: True