You Are Given Function $f$ Defined on an Interval $[ a , b ]$

question 71

Essay

You are given function $f$ defined on an interval $[ a , b ]$ , the number $n$ of subintervals of equal length $\Delta x = \frac { ( b - a ) } { n }$ , and the evaluation points $c _ { k }$ in $\left[ x _ { k - 1 } , x _ { k } \right]$ .
(a) Sketch the graph of $f$ and the rectangles associated with the Riemann sum for $f$ on $[ a , b ]$ , and
(b) find the Riemann sum.
$f ( x ) = 2 x - 3 , \quad [ 0,2 ] , \quad n = 4 , \quad c _ { k }$ is the right endpoint

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Definitions:

Enzymes

Cellular molecules that considerably quicken the tempo of almost every chemical interaction taking place within cells.

Digestion

The breakdown of food into smaller components that can be absorbed and assimilated into the body.

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A scientist who studies the functions and mechanisms of living organisms and their parts.

Anatomist

A scientist who specializes in the study of the structure of living things.