Find the Length of the Curve $$x = \frac { y ^ { 4 } } { 8 } + \frac { 1 } { 4 y ^ { 2 } } \text { from } y = 1 \text { to } y = 3$$

question 17

Multiple Choice

Find the length of the curve.
- $$x = \frac { y ^ { 4 } } { 8 } + \frac { 1 } { 4 y ^ { 2 } } \text { from } y = 1 \text { to } y = 3$$

• A) \(\frac { 92 } { 9 }\)
• B) \(\frac { 367 } { 36 }\)
• C) \(\frac { 184 } { 9 }\)
• D) \(\frac { 41 } { 4 }\)

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Definitions:

Inside Corner

The point where two intersecting walls or surfaces meet on the interior side, often requiring special consideration in design for stress concentration.

Radius

The distance from the center of a circle to any point on its circumference, also used to describe the curvature of rounded objects.

Outside Edge

Refers to the external boundary or margin of an object or part, often significant in machining and manufacturing processes.