QA: (inspired by a problem from Stewart's textbook) Suppose thatthere is some function f whose _derivative_ is f'=sin(x)/x, with f'(0)=1 by definition rather than DNE. Draw that, on the interval[-4pi,+4pi].(i) On what intervals is the original f increasing? Decreasing?Indicate the intervals on the graph as well as writing them ininterval notation like [0,pi](ii) At what x values does f have a local max? A local min? Indicatethem on the graph as well as writing them out like: maxes at ...;mins at ....(iii) On what intervals is f CD? CU? Indicate the intervals on thegraph as well as writing them in interval notation. You won't be ableto find the exact values using formulas; approximate values arefine.(iv) At what x values does f have an inflection point? Indicate themon the graph as well as writing them out like: IP atapproximate values are fine, since it's impossible to find exactvalues](v) Sketch a graph of f, starting at f(0)=0.[again,

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Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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