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

question 90

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.
- $\mathrm { f } ( \mathrm { x } ) = 5 \mathrm { x } \sin \pi \mathrm { x }$ on $[ 0,4 ]$ divided into 4 subintervals

• A) \(- \frac { 5 } { 4 }\)
• B) 0
• C) \(- \frac { 5 } { 2 }\)
• D) \(- 10\)

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Definitions:

Conglomerate

A coarse-grained sedimentary rock composed of rounded clasts bonded together by a matrix of finer particles and cement.

Breccia

A coarse-grained sedimentary rock composed of angular fragments, usually formed at a fault zone or by volcanic activity.

Sandstone

A sedimentary rock composed mainly of sand-sized mineral particles or rock fragments, often used in building and construction.

Sedimentary Clasts

Fragments or grains of rock or mineral that have been broken from a pre-existing rock and transported, eventually being deposited as sedimentary rock.