MATH100 December 2010
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q1 (k) • Q1 (l) • Q1 (m) • Q1 (n) • Q2 (a) • Q2 (b) • Q2 (c) • Q3 • Q4 (a) • Q4 (b) • Q4 (c) • Q4 (d) • Q4 (e) • Q5 • Q6 • Q7 • Q8 •
Question 01 (j)
Short-Answer Questions. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, it is not necessary to simplify your answers in this question.
Find the second degree Taylor polynomial T2(x) for
At 4 (or about x =4)
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Recall that the general equation for a second degree Taylor polynomial at a is given by:
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To find the second degree Taylor polynomial, we use the equation
We know that a =4 and that ƒ(x)=√x. We can easily compute the derivatives to get
Plugging this all in to the Taylor equation, we get:
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