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

question 95

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.
- $f ( x ) = 3 x ^ { 5 }$ on $[ 1,3 ]$ divided into 4 subintervals

• A) \(103.8\)
• B) \(175.8\)
• C) \(703.2\)
• D) \(58.6\)

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Definitions:

NMR Data

Information obtained from Nuclear Magnetic Resonance spectroscopy, used to determine the structure of molecules.

Quartet

In nuclear magnetic resonance (NMR) spectroscopy, a signal that is split into four distinct peaks, indicating the presence of three equivalent protons in the neighboring environment.

Doublet

A pattern in spectroscopy indicating two adjacent peaks, often associated with the spin of a nucleus affecting a neighboring nucleus.

NMR Spectrum

A representation of the nuclear magnetic resonance absorption by nuclei in a sample.