Find the Average Value of the Function $f ( x )$

question 53

Multiple Choice

Find the average value of the function $f ( x )$ in the interval $[ - \pi , \pi ]$ .
$$f ( x ) = \sin ^ { 6 } x \cos ^ { 5 } x$$

• A) \(\pi\)
• B) 0
• C) \(\frac { \pi } { 5 }\)
• D) \(\frac { \pi } { 12 }\)
• E) \(\frac { \pi } { 6 }\)

Apply the concept of logical equivalency and contradiction between statements.

Analyze the impact of the truth values of statement components on the overall statement.

Interpret and construct truth tables for various logical statements.

Determine the relationship between statements based on their logical structure and truth values.

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Definitions:

Fovea Centralis

A small pit in the retina of the eye where visual acuity is highest, due to the concentration of cone cells.

Lens

An optical device made of transparent material that affects the focusing of light rays to form images.

Rods

Light-sensing nerve cells in the eye, at the posterior of the retina, that function in dim light but do not provide sharp images or detect color.

Cones

Light-sensing nerve cells in the eye, at the posterior of the retina, that are sensitive to color, provide sharp images, and function only in bright light.