Find the arc length of the following curve on the given interval.\\ $y = \frac{1}{3}x^{3/2}$ on $[0, 53]$\ The length of the curve is

          Find the arc length of the following curve on the given interval.\\
$y = \frac{1}{3}x^{3/2}$ on $[0, 53]$\
The length of the curve is

Find the arc length of the following curve on the given interval.

y = (1)/(3)x^3/2 on [0, 53]The length of the curve is

Added by Daniela C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Audrey Fong

02/21/2023

Step 1

Step 1: To find the arc length of a curve, we need to use the formula: \[L = \int_{a}^{b} \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \, dx\] where $a$ and $b$ are the limits of integration and $\frac{dy}{dx}$ is the derivative of $y$ with respect to $x$. Show more…

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Find the arc length of the following curve on the given interval. 1 y=-x3/2 on [0,53] The length of the curve is. Find the arc length of the following curve on the given interval. The length of the curve is