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

question 272

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.
- $\mathrm { f } ( \mathrm { t } ) = 3 + \sin \pi \mathrm { t }$ on $[ 0,2 ]$ divided into 4 subintervals

• A) \(\frac { 6 + \sqrt { 2 } } { 2 }\)
• B) \(\frac { 12 + \sqrt { 2 } } { 4 }\)
• C) 3
• D) 0

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