Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5. Usethetableweusedinclasstofindthe coefficients.

Q: Find bn if the function f(x)=x^2.

A: bn-fx=x2 Fourier series of                     fx=x2   is                     fx=902+∑n=1∞an…

Q: If x=1 is a zero of the polynomial function f(x)=3x^3-8x^2+3x+2, which of the following is another…

A: Given that x=1 is a zero of the polynomial function  we have to find other zero of f(x)

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 +…

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Q: Graph the function f(x)=-(x+1)^(4)+1. Determine any roots of the polynomial.

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Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

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Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: state the number of roots for the function f(x)= x^7+65x^4+64x

A: Given: The function is f(x)=x7+65x4+64x. Concept used: The highest power of the polynomial is the…

Q: Use the numbers x0=1, X2=1.5, and X2=2 to find the second lag-range polynomial to F(x)=1/x+1 Then,…

A: (.) Given,  and  (.) Lagrange polynomial for the function  with  data points  is given by,