Taylor series and quadratic approximation

In summary, a Taylor series is a mathematical representation of a function using a sum of infinitely many terms. It is related to quadratic approximation, which uses only the first two terms to approximate a function. The purpose of using a Taylor series is to approximate a function at a specific point, and it is calculated by finding the derivatives of the function at that point and plugging them into a general formula. While a quadratic approximation is simpler and easier to calculate, using more terms in a Taylor series can result in a more accurate approximation of the function.
  • #1
ookt2c
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Homework Statement



use an appropriate local quadratic approximation to approximate the square root of 36.03

Homework Equations



not sure

The Attempt at a Solution



missed a day of class
 
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  • #2
ookt2c said:

Homework Statement



use an appropriate local quadratic approximation to approximate the square root of 36.03

Homework Equations



not sure

The Attempt at a Solution



missed a day of class

You need to rwwrite
[tex] \sqrt{36+0.03} [/tex]
in the form [tex] 6 \sqrt{1+\epsilon} [/tex] and then expand this to order epsilon squared. I will let you figure out what the value of epsilon is.
 

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