Draw the Graph Of $f(x)=-x(x-3)$ Over the Interval $[0,3]$

question 9

Essay

Draw the graph of $f(x)=-x(x-3)$ over the interval $[0,3]$ . On the graph, show and shade the rectangles that would be used to approximate the area under the curve $f(x)$ over $[0,3]$ by the right rectangle approximation method using 6 subintervals. Compute the estimation.

---

Definitions:

Boxplot

A standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum.

Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion in a set of values, showing how much the values in a dataset differ from the mean.

Standard Deviation

A measure that indicates the amount of variation or dispersion from the average in a set of data.

Kilograms

A unit of mass equal to one thousand grams, used in the metric system.