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- A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.Find the second-degree Taylor polynomial T2(x) for the function f(x)=15+x2 at the number x=1.Find the interpolating polynomial of the following point and function using the Lagrange interpolation process. y = cos ( 2x ) at x = [0,π] with four equally spaced points.
- Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0),(1/2, y), (1,3) and (2,2). If the coefficient of x3 in P3(x) is 6, then determine the value of y.Find the degree 3 Taylor polynomial T3(x) of function f(x)=(−7x+22)4/3 at a=2 T3(x)=Find the Taylor polynomial of degree 3, centered at a = 0 for the function f ( x ) = √ x + 7
- Let f (x) = sin(2x2). Find the 3rd Taylor polynomial.p3(x) = _ +_ x + _ x2 + _ x3Find the Taylor polynomial of degree 2 centered at a=-1 that approximate. f(x)=2+x+x2 P2(x)=Write the Taylor polynomial T5(x), for the function f(x)=cos(x)f(x)=cos(x) centered at x=0. T5(x)= ? Can you please help me to find the fifth term of x?