Problem 2. Use the FFT algorithm to evaluate f(x) = 8 − 4x + 2x 2...

Problem 2. Use the FFT algorithm to evaluate f(x) = 8 − 4x + 2x 2 + 3x 3 − 5x 4 − 4x 5 + 2x 6 + x 7 at the eight 8th roots of unity mod 17. You may stop using recursion when evaluating a linear function (a + bx), which is easier to do directly. The eight 8th roots of unity mod 17 are 1, 2, 4, 8, 16, 15, 13, 9; it is easier to calculate with 1, 2, 4, 8, -1, -2, -4, -8. Do this by hand, and show your work.

Expert Solution

Colby Messinger answered 1 year ago

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

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1. Use the derivative function, f'(x)f′(x), to determine where the function f(x)=−2x^2+14x−8 is increasing. 2.Use the...

1. Use the derivative function, f'(x)f′(x), to determine where the function f(x)=−2x^2+14x−8 is increasing. 2.Use the derivative function f'(x)f′(x) to determine where the function f(x)=2x^3−27x^2+108x+13 is increasing. 3.Use the derivative function f'(x)f′(x) to determine where the function f(x)=2x^3−27x^2+108x−12 is decreasing. 4.Find each value of the function f(x)=−x^3+12x+9 where the line tangent to the graph is horizontal. x=

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f(x)= 2x^4 - 4x^2 + 1 a. Indicate where the function is increasing or decreasing. b....

f(x)= 2x^4 - 4x^2 + 1 a. Indicate where the function is increasing or decreasing. b. List the coordinates of where extrema occur. c. State where the graph is concave up or concave down. d. List the coordinates of where points of inflection occur.

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This problem refers to the Mean Value Theorem, using f(x) = −x 2 − 2x +...

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6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) -...

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Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

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