Find T3(x, 1), the third Taylor polynomial at a = 1 for f(x) = approximate 1.2. In x, and use it to How good is this approximation? Use your calculator to comment on the goodness of the approximation at x = 1.2.

Q: Determine the absolute difference If (0,5) – p3 (0,5)| if f(x) = e+* and is the third Taylor…

A: Topic = Taylor series

Q: Use the Newton-Raphson iterative method to find the root of the function f(x) = x³ + x² + 4x + 3 in…

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Q: B. Write down the Taylor polynomial of degree 5 for the function f(x) = x³ about x = 8. Use it to…

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Q: Use the Newton-Raphson iterative method to find the root of the function ƒ(x) = x³ + x² + 4x + 2in…

A: The Newton-Raphson iterative method to find the root of the function f(x) is given as follows: xn+1…

Q: consider the polynomial f (x) = 7x4- (2 + 2x + 6x2 + 5x3) -8x5. In x = 0.7, use the approximation…

A: Given the polynomial fx=7x4-2+2x+6x2+5x3-8x5 and x=0.7 and ∆x=0.2

Q: Let f (x) = sin x and consider x0 = 4, x1 = 9 and x2 = −6. For f (x) take up to 3 decimal places…

A: As per the question we are given the function f(x) = sin(x) and three points as : x0 = 4 , x1 = 9 ,…