Find the Number(s) a Such That the Average Value of the Function

question 89

Multiple Choice

Find the number(s) a such that the average value of the function $f(x) =50-28 x+3 x^{2}$ on the interval $[0, a]$ is equal to 10.

• A) \(a=10\)
• B) \(a=-4\)
• C) \(a=-10\)
• D) \(a=4\)
• E) \(a=-10\).

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Definitions:

Relative Age

The age of a fossil, organism, rock, geologic feature, or event as defined relative to other geologic features or events.

Absolute Age

A measure of the exact age of a rock, fossil, or other object in years, often obtained through radiometric dating techniques.

Numerical Age

The age of a geological feature or event expressed in years or other units of time, often determined by radiometric dating methods.

Radiometric Age

The determination of the age of a mineral, rock, or archaeological artifact based on the decay rate of radioactive isotopes.