Problem

(Although this is not a graphing utility exercise, the previous exercise, which does use...

(Although this is not a graphing utility exercise, the previous exercise, which does use a graphing utility, provides some useful background here.)

(a) Suppose that the thickness of the line drawn by your pencil or pen is 0.05 cm, and suppose that the common unit of length marked off along both axes is 1 cm. Under these drawing conditions, where is the graph of

y = x2 indistinguishable from the x-axis? That is, for which x-values will the corresponding y-values be less than 0.05?

(b) Follow part (a), using y = x4 instead of y = x2.

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Solutions For Problems in Chapter 3.2