MATH104 December 2013
• 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) • Q2 (d) • Q2 (e) • Q2 (f) • Q2 (g) • Q3 • Q4 • Q5 • Q6 (a) • Q6 (b) • Q6 (c) •
Question 01 (i)
Find an approximation to by using the linear approximation to at .
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Recall that a linear approximation involves finding the equation of the tangent line to at the point .
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We use the point slope formula
Since we obtain , while implies . Hence
Thus, the approximation we seek is given by
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