Fundamentals of Differential Equations (9th Edition)
9th Edition
ISBN: 9780321977069
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Publisher: PEARSON
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In Problems 17–22, form a polynomial function f(x) with real coefficients having the given degree and zeros. Answers will vary dependingon the choice of the leading coefficient. Use a graphing utility to graph the function and verify the result.
In Problems 51–56, find the polynomial function with the given zeros whose graph passes through the given point.
In Problems 2–4, for the given functions fand g find:
(a) (f° g) (2)
(b) (g • f)(-2)
(c) (fo f) (4)
(d) (g ° 8) (-1)
2. f(x) = 3x – 5; g(x) = 1 – 2r
3. f(x) = Vx + 2: g(x) = 2x² + 1
4. f(x) = e"; g(x) = 3x – 2
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Fundamentals of Differential Equations (9th Edition)
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- In Problems 17–36, use Theorem 2 to find the local extrema.arrow_forward1. Employ Bairstow’s method to determine the roots of the polynomial f(x) = 9.34 – 21.97x + 16.3x² – 3.704x³ Use initial guesses of r=1 , s = -1 and iterate to a level of ɛ = 1%.arrow_forward(7) 13. Find two positive numbers, z and y, such that their product is 500, and r + 3y is as small as possible.arrow_forward
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