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Use the arc length formula (3) to find the length of the curve $y = 2x - 5$, $-1 \le x \le 3$. Check your answer by noting that the curve is a line segment and calculating its length by the distance formula.

$4 \sqrt{5}$

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Catherine R.

Missouri State University

Heather Z.

Oregon State University

Samuel H.

University of Nottingham

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Video Transcript

he has Clearasil name right here. So we're going to use the arc length formula. So we have. Why is equal to to us minus five Miscues us the derivative of two. Using the R cling formula because l. A is equal to from negative 123 square root of one plus two square X in this equals square root of fly That's from negative. 123 Which gives us four. You ever heard of fun?

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Samuel H.

University of Nottingham

Lectures

Join Bootcamp