Asked by xiny
Estimate the area under the graph of f(x) = 16 - x^2 from x=0 to x=4 using 4 approximating rectangles.
I got the right sum = 34 and left sum = 50 but what is the area found using midpoints? How do I do it?
I got the right sum = 34 and left sum = 50 but what is the area found using midpoints? How do I do it?
Answers
Answered by
mathhelper
Using midpoints, your x's would be
x = .5, 1.5, 2.5, and 3.5
f(.5) = 16 - .25 = 15.75
f(1.5) = ... = 13.75
f(2.5) = ... 9.75
f(3.5) = ... = 3.75
the width of each rectangle is still 1
area = 1*(15.75+13.75+9.75+3.75) = 43
x = .5, 1.5, 2.5, and 3.5
f(.5) = 16 - .25 = 15.75
f(1.5) = ... = 13.75
f(2.5) = ... 9.75
f(3.5) = ... = 3.75
the width of each rectangle is still 1
area = 1*(15.75+13.75+9.75+3.75) = 43
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.