Set Up an Integral for the Length of the Curve $$y = x ^ { 4 } , 0 \leq x \leq 1$$

question 115

Multiple Choice

Set up an integral for the length of the curve.
- $$y = x ^ { 4 } , 0 \leq x \leq 1$$

• A) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 3 } } d x\)
• B) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 16 x ^ { 8 } } d x\)
• C) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 4 x ^ { 6 } } d x\)
• D) \(\int _ { 0 } ^ { 1 } \sqrt { 1 + 16 x ^ { 6 } } d x\)

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Definitions:

Retinal Ganglion Cells

Retinal ganglion cells are neurons located in the retina that transmit visual information from the eye to the brain through their axons, which form the optic nerve.

Partial Lack

A situation where there is a deficiency or insufficiency of something, but it is not completely absent.

Cones

Photoreceptor cells in the retina of the eye that are responsible for color vision and function best in relatively bright light.

Male Population

Refers to the portion of the population that identifies as male or is assigned male at birth.