Fnd the equation of the best quadratic approximation to y


Question: (a) Find the equation of the best quadratic approximation to y = ln x at x = 1. The best quadratic approximation has the same first and second derivatives as y = ln x at x = 1.

(b) Use a computer or calculator to graph the approximation and y = ln x on the same set of axes. What do you notice?

(c) Use your quadratic approximation to calculate approximate values for ln(1.1) and ln(2).

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Mathematics: Fnd the equation of the best quadratic approximation to y
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