Find the Taylor polynomial of degree 2 about the point
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Numerical Analysis
- Find the Taylor expension of the function, f (x) sinx3 around the paint × =O up to the term x 13arrow_forwardconsider the polynomial f (x) = 7x4- (2 + 2x + 6x2 + 5x3) -8x5. In x = 0.7, use the approximation in divided differences centered for the second derivative of F (x). Use a rack of Δx = 0.2 step. F '' (x) ≈arrow_forwardthe function f(x) is a function with every order derivative in an open range containing x=1; the following table shows the values that the function f (x) and some of its derivatives take at the point x=1. Using these values, the approximate value of the number f(1,3) is central to X=1, which is 2. when we calculate the Taylor polynomial of order, which result is the following?arrow_forward
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- Find the Taylor polynomial of degree 3 for the function f(x) = X T3(x) = + (x − 3) + (x − 3)² + (x − 3)³ about x = 3.arrow_forwardLet f: (-pi/2 , pi/2) -->R be given with f(t) = tan-1(t) What is taylors polynomial P1(t) of the first order f if t = 0 ? What is the reminder E1(t) in taylors formula f(t) = P1(t) + E1(t) ?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage