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Unformatted text preview: 216 x + 1 has a slope of 5 at exactly two points. Find the coordinates of the points. 6. Consider the function f ( x ) = e sin x . Without plotting points, sketch the graph of this function by ﬁguring out some of its properties. Is it periodic? Does it grow unboundedly like an exponential function? Does it ever take a negative value? Does it have any zeros? Does it have a maximum value? A minimum value? 7. ( i ) Show that the relative error for 1 m is approximately the same as that for m . ( ii ) Show that division of measurements causes relative errors to accumulate additively. [Hint: use part (i) and the fact that the multiplication of measurements causes the relative errors to be added.]...
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 Spring '10
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