Solve the problem.
-$\text { Find the length of the curve } x=\frac{y^{2}}{32}-4 \ln \left(\frac{y}{5}\right), 8 \leq y \leq 16 \text {. }$
A) $6 + 4 \ln 2$
B) $6 + 4 \ln \frac { 2 } { 5 }$
C) $8 + 4 \ln \frac { 2 } { 5 }$
D) $8 + 4 \ln 2$

Question

Quizplus · Accepted Answer

The length of the curve is found using the formula for arc length. After differentiating the given function and substituting into the arc length formula, the integral evaluates to $6 + 4 \ln 2$.

Solve the Problem Find the length of the curve x=y232−4ln⁡(y5),8≤y≤16. \text { Find the length of the curve } x=\frac{y^{2}}{32}-4 \ln \left(\frac{y}{5}\right), 8 \leq y \leq 16 \text {. } Find the length of the curve x=32y2​−4ln(5y​),8≤y≤16.

Solve the Problem $\text { Find the length of the curve } x=\frac{y^{2}}{32}-4 \ln \left(\frac{y}{5}\right), 8 \leq y \leq 16 \text {. }$