MATH-6330 - Numerical Methods oed answer key
Showing 161 to 180 of 256 total answers.
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Awesome StudentQuestion • Numerical Methods
Which of the following statements is true for the function f(x) = -e x + sin x, when 0 is used as an initial value:
Answer
Newton’s method cannot be used
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Awesome StudentQuestion • Numerical Methods
How much error would be observed for the integral of f(x) = sin2x + 5 for an interval of [0,1] if n = 1 or if n = 2?
Answer
almost negligible
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Awesome StudentQuestion • Numerical Methods
If the function, f(x) = cos3x was approximated by the polynomial, P(15) = -02, the amount of error approximately 005
Answer
True
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Awesome StudentQuestion • Numerical Methods
In performing Gauss-Jordan method, although there is no specific procedure to perform this, it is more convenient to
Answer
Eliminate all elements below and above at once
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Awesome StudentQuestion • Numerical Methods
With the Lagrange form, it is ___________ to pass from one interpolation polynomial to another of degree one greater
Answer
inconvenient
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Awesome StudentQuestion • Numerical Methods
Gaussian elimination has no specific row operations Various ways can be employed but may come up with the same answer
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Awesome StudentQuestion • Numerical Methods
The approximate value of f(x) = e x using the first five terms of the Maclaurin Series center at when x = 1, c =0 is
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Awesome StudentQuestion • Numerical Methods
The eigenvalues that corresponds to the characteristic polynomial are =CE=BB2-4=CE=BB+3 are =CE=BB = 1 and =CE=BB = -3
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Awesome StudentQuestion • Numerical Methods
Which is true about the error when approximating the integral of the linear function f(x) = 3x for an interval of [0,1]?
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Awesome StudentQuestion • Numerical Methods
Secant method is usually the best option if the function doesn’t have an exact formula but just a pair of x and y values.
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Awesome StudentQuestion • Numerical Methods
Simpson's rule is a numerical method that approximates the value of a definite integral by using third degree polynomials
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Awesome StudentQuestion • Numerical Methods
An additional benefit of the power method is that the corresponding eigenvector is obtained as a by-product of the method.
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Awesome StudentQuestion • Numerical Methods
Horner’s method which is a method for finding roots of a polynomial equation f(x) =0 is almost similar to Newton’s method.
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Awesome StudentQuestion • Numerical Methods
The approximated root using the secant method lies within the two initial points which is used to project the secant line.
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Awesome StudentQuestion • Numerical Methods
Trapezoidal rule is a numerical method that approximates the value of a definite integral by using first degree polynomial
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Awesome StudentQuestion • Numerical Methods
When the exact value is π = 3.14159265359 and the relative error is given as 0.001, the approximate value is ____________.
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Awesome StudentQuestion • Numerical Methods
It is possible to approximate a function by using values outside the data points which is known as the linear interpolation
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Awesome StudentQuestion • Numerical Methods
In general, an n × n matrix will have a characteristic polynomial of degree of n+ 1, and its roots are the eigenvalues of A.
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Awesome StudentQuestion • Numerical Methods