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## Math4Life Group Title consider the function f(x) = (x - 3)^2 + 2. Evaluate a sum to approximate the area under the curve for the domain o < or equal x < or equal 2 using the type of rectangles in each part. a. Use inscribed rectangles 0.5 units wide. b. Use circumscribed rectangles 0.5 units wide. 2 years ago 2 years ago

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1. Math4Life Group Title

@Callisto and @Arnab09 you guys make a good team :D

2. Arnab09 Group Title

u have to use definite integration to find the exact area under the curve

3. Arnab09 Group Title

u can get the picture of the graph here: http://www.wolframalpha.com/input/?i=y%3D%28x-3%29%5E2%2B2

4. Callisto Group Title

I cheated... I don't understand the question but this site may help you... http://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.389732.html

5. Callisto Group Title

But seems it's not correct...

6. Math4Life Group Title

Oh

7. Math4Life Group Title

How so?

8. Math4Life Group Title

kk

9. Callisto Group Title

Or this may help http://openstudy.com/study#/updates/4fafa089e4b059b524fa879a

10. shivam_bhalla Group Title

Actually @Math4life, sorry that doesn't apply here. Actually you can calcluate the area with sum of areas of rectangles of 0.5 wide. See below(part 1) |dw:1337244533262:dw| For part a), the base of each rectangle is 0.5, and the height is f(k), for k = {0.5, 1, 1.5, 2}. Therefore the area is about .5(f(.5) + f(1) + f(1.5) + f(2)) = 10.75.

11. Math4Life Group Title

You took that from algebra.com

12. shivam_bhalla Group Title

Case 2:- |dw:1337244703718:dw|

13. shivam_bhalla Group Title

@Math4Life , yes frankly

14. Math4Life Group Title

re-write B, because b is what i dont understand so re-write it in ur own words

15. shivam_bhalla Group Title

I drew the graph on my own to explain that solution

16. shivam_bhalla Group Title

@mat|dw:1337244925605:dw|

17. shivam_bhalla Group Title

@Math4Life , now look and compare both the graphs(part a and part b), you will find the difference Part A) |dw:1337245054089:dw| Part B) |dw:1337245178974:dw|

18. Math4Life Group Title

Thanks everyone! I'm so tired! Night!!

19. shivam_bhalla Group Title

yw and good night :)