Find the length of the curve. Select the correct answer.
$$x = \frac { y ^ { 4 } } { 8 } + \frac { 1 } { 4 y ^ { 2 } } , 1 \leq y \leq 2$$
A) $2.0625$
B) $36.05$
C) $13.05$
D) $25.055$
E) None of these

Question

Quizplus · Accepted Answer

The length of the curve is calculated using the formula for arc length. After differentiating $x$ with respect to $y$ and substituting into the arc length formula, the integral evaluates to approximately 2.0625.

Find the Length of the Curve x=y48+14y2,1≤y≤2x = \frac { y ^ { 4 } } { 8 } + \frac { 1 } { 4 y ^ { 2 } } , 1 \leq y \leq 2x=8y4​+4y21​,1≤y≤2

Find the Length of the Curve $x = \frac { y ^ { 4 } } { 8 } + \frac { 1 } { 4 y ^ { 2 } } , 1 \leq y \leq 2$