Question 3 Here we consider f(x) = Vx near x = 8. (a) Find T1(x) and T2(x) centered at x = 8. (b) Separately use both T1(x) and T2(x) to approximate V7.8. (c) Use the Taylor Error Bound to determine the maximum possible values of the errors |T:(7.8) – V7.8| and [T2(7.8) – V7.8|. (d) Compare the actual errors to the quarantees calculated in the previous part

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Q: function.   r​(t)=(square root)t+4i + (t/t+9) j−e^

A: We fneed to find the derivative

Q: (a) Find the domain of V4 – 3w R(w) = w + 2

A: Please complete your question b part its incomplete. What is l ? Here I'm doing (a) part only.

Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f(x) = ex at a = 2 4) f(x) = x³ - 2x +…

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Q: (a) Suppose f(2)= 25.755, and f(3) = 26.905, use linear Lagrange interpolation to calculate…

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A: Given,           f(x) =x

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A: Topic - function and integration

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Q: Compute T3 for f (x) =√x centered at a = 1. Then use a plot of the error |f (x) − T3(x)| to find a…

A: n fn(x) fn(x=1) 0 √x 1 1 1/2√x 1/2 2 -1/(4x3/2) -1/4 3 3/(8x5/2) 3/8