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(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).
A 1 kg block slides down a 100 m slope of 45o from rest. The slope has a surface of kinetic friction coefficient 0.3. At the bottom of the slope, the levelled surface has the same friction coefficient 0.3. How far will this block slide from the b..
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