Use a fiNite Sum to Estimate the Average Value of the Function

question 38

Multiple Choice

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.
- $f ( t ) = 8 - \left( \cos \frac { \pi t } { 2 } \right) ^ { 2 }$ on $[ 0,4 ]$ divided into 4 subintervals

• A) \(\frac { 8 - \sqrt { 2 } } { 2 }\)
• B) \(\frac { 15 } { 2 }\)
• C) 8
• D) \(\frac { 3 } { 2 }\)

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A chemical element with symbol W and atomic number 74, known for its high melting point and strength, used in light bulb filaments, electronics, and as an alloy for steel.

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A strong, lightweight, and corrosion-resistant metal with the chemical element symbol Ti, used in various industrial and medical applications.