Question

I am having difficulty with estimating the area under a graph. The function is y=f(x).
The x axis goes from 0 to approximately 24. The y axis goes from 0 to 18. It appears to be the graph of a square root from the shape.

I am to estimate the area by dividing it into 6 rectangles.

A = L (sub 6)

Answer 1

To find delta x, I did the following calculation:

b = 24
a = 0,
n = 6
so (24-0)/ 6, which yields 4.

The width of each rectangle is 4.

I am not clear on how to determine the height of each rectangle and move forward with the A = f(0)delta x + (etc.)

Answer 2

Is this the trapezium rule or Simpsons rule that you are using?

Answer 3

I am unaware of both of those concepts.

Answer 4

I only know that I am to determine the area.

Answer 5

Ok, give me a sec...

Answer 6

Unfortunately, unless I estimate the values of y for x, I am not sure how to proceed on this one. Sorry to be unhelpful.

Answer 7

No, that's fine. I estimated the values from the graph since the function is ambiguous.
So I estimated f(0) = 18, f(4) = 16, f(8)=14, f(12) = 12, f(16)=8, f(20)=2

Answer 8

Is that similar to an approach you would take?

Answer 9

Yes, that sounds okay. Depending on the degree of accuracy needed in the question, I might estimate some of the figures to a tenth, but otherwise that is fine. :)

Answer 10

That's excellent. If you have any more suggestions, please send them my way, Incognito! Be well!