Assignment:
Give the following table of values determine by the empirical (ie: the Riemann left and right hand sums) method the area under the function between X=0 and X=70. (hint: use n=7)
|
X
|
0
|
10
|
20
|
30
|
40
|
50
|
60
|
70
|
|
Y
|
700
|
400
|
300
|
400
|
700
|
1200
|
1900
|
2800
|
A. Graph the function over these x values and explain in your own words what the relationship means. Is it an additive function?
B. Compute the left and right hand areas of the five rectangles and superimpose these rectangles on the graph or the data table.
C. Approximate the true area and determine a function statement or equation that best describes the relationship between the area and x values.
Provide complete and step by step solution for the question and show calculations and use formulas.