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bobbobbobb bobbobbobb
  • 03-02-2017
  • Mathematics
Answered

arc length of y= -0.1480x^3+1.353x^2-4.068x+5.651 from x=0.2 to x=5.25

Verified Answer :

LammettHash
LammettHash LammettHash
  • 09-02-2017

\(y=-0.1480x^3+1.353x^2-4.068x+5.651\)
\(\implies y'=-0.444x^2+2.706x-4.068\)

The arc length is given by the integral

\(\displaystyle\int_{0.2}^{5.25}\sqrt{1+(y')^2}\,\mathrm dx\)

which has a value of about \(7.6683\).

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