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Postsecondary • 3mo.

At Orange County Choppers, Paul Teutul Junior needs to make a circular metal disk with area 1000in^2


The radius of such a disk is  inches?


To keep Paul Senior from blowing a gasket, Paul Junior must deviate from the ideal area of 1000 in^2 the disk, which is +-1 inches ^2, by less than  How close to the ideal radius must the Flowjet (the machine that cuts the disk) be to maintain tranquility at OCC?


Answer = ? inches.


In terms of the e, lamda definition of lim x—-> a f(x) =L, let  x be the actual radius of the disk and  f(x) the actual area of the disk.

What is the formula for the function ? 

What is the number ? 

What is the number ? 

What value of  is given? 

What is the corresponding value of ?

Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 3mo. edited September 23

    Hi !

    The link between the disk area and its radius is the number pi.


    image.png

    $$ A=\pi\color{#3A9A38}{r}^2 $$


    So you can calculate each values of radius with this formula. You can alors replace \(A\) by \(f(x\) and \(r\) by \(x\) or tha variable in question.

    Have a nice evening !

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