Find the Centroid of the Region Bounded by the Given $$y = 2 x ^ { 3 } , 2 x + y = 4 , x = 0$$

question 56

Multiple Choice

Find the centroid of the region bounded by the given curves.
$$y = 2 x ^ { 3 } , 2 x + y = 4 , x = 0$$

• A) \(\frac { 92 } { 105 } , \frac { 9 } { 75 }\)
• B) \(\frac { 58 } { 75 } , \frac { 370 } { 105 }\)
• C) \(\frac { 28 } { 75 } , \frac { 184 } { 105 }\)
• D) \(\frac { 370 } { 75 } , \frac { 58 } { 105 }\)
• E) None of these

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Definitions:

Optic Nerve

A paired nerve that transmits visual information from the retina to the brain.

Ganglion Cells

Neurons located in the retina that receive visual information from photoreceptors and transmit it to the brain via the optic nerve.

Wavelength

The distance between consecutive crests or troughs in a wave, which determines its color in light and pitch in sound.

Invisible

Unable to be seen; not visible to the eye.