Find the Total Area of the Region Between the Curve $$y = 2 x - x ^ { 2 } ; 0 \leq x \leq 2$$

question 68

Multiple Choice

Find the total area of the region between the curve and the x-axis.
- $$y = 2 x - x ^ { 2 } ; 0 \leq x \leq 2$$

• A) \(\frac { 4 } { 3 }\)
• B) \(\frac { 7 } { 3 }\)
• C) \(\frac { 2 } { 3 }\)
• D) \(\frac { 5 } { 3 }\)

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Definitions:

Amplitude

In the context of waves, it is the height of the wave, which can determine the intensity or loudness of a sound.

Frequency

The rate at which something occurs or is repeated over a particular period of time or in a given sample.

Pitch

In acoustics, it is the quality of a sound governed by the rate of vibrations producing it; the degree of highness or lowness of a tone.

Primary Colors

The set of colors that can be combined to create a wide spectrum of colors but cannot be created by mixing other colors. Typically red, blue, and yellow in pigment or red, green, and blue in light.