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maximum error and percentage relative error in surface area.

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The radius and altitude of a closed (has a top and bottom) right circular cylinder is measured as 5 inches and 9 inches respectively. There is a possible measurement error in radius of pm.02 inch and an in altitude of pm.07 inch. Use differentials to approximate the maximum error in the calculated total surface area then determine the percentage relative error that this represents.

edit: this was a question that I had no idea how to start/do so any help is appreciated.

calculus differential error-function

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edited Mar 17 at 20:46

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asked Mar 17 at 20:35

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116

$endgroup$

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  $begingroup$
  The question says : use differentials. So, what is the formula of $A$ in terms of $r$ qnd $h$ ? What about the partial derivatives of $A$ wrt $r$ and $h$ ?
  $endgroup$
  – Claude Leibovici
  Mar 18 at 10:34
  

  
  
  
  

add a comment | 

0

1

$begingroup$

The radius and altitude of a closed (has a top and bottom) right circular cylinder is measured as 5 inches and 9 inches respectively. There is a possible measurement error in radius of pm.02 inch and an in altitude of pm.07 inch. Use differentials to approximate the maximum error in the calculated total surface area then determine the percentage relative error that this represents.

edit: this was a question that I had no idea how to start/do so any help is appreciated.

calculus differential error-function

share|cite|improve this question

edited Mar 17 at 20:46

ufotink

asked Mar 17 at 20:35

ufotinkufotink

116

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The question says : use differentials. So, what is the formula of $A$ in terms of $r$ qnd $h$ ? What about the partial derivatives of $A$ wrt $r$ and $h$ ?
  $endgroup$
  – Claude Leibovici
  Mar 18 at 10:34
  

  
  
  
  

add a comment | 

$begingroup$

The radius and altitude of a closed (has a top and bottom) right circular cylinder is measured as 5 inches and 9 inches respectively. There is a possible measurement error in radius of pm.02 inch and an in altitude of pm.07 inch. Use differentials to approximate the maximum error in the calculated total surface area then determine the percentage relative error that this represents.

edit: this was a question that I had no idea how to start/do so any help is appreciated.

calculus differential error-function

share|cite|improve this question

edited Mar 17 at 20:46

ufotink

asked Mar 17 at 20:35

ufotinkufotink

116

$endgroup$

share|cite|improve this question

edited Mar 17 at 20:46

ufotink

asked Mar 17 at 20:35

ufotinkufotink

116

share|cite|improve this question

edited Mar 17 at 20:46

ufotink

asked Mar 17 at 20:35

ufotinkufotink

116

asked Mar 17 at 20:35

ufotinkufotink

116

asked Mar 17 at 20:35

ufotinkufotink

116