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Math4Life

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.

  • one year ago
  • one year ago

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  1. Math4Life
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    @Callisto and @Arnab09 you guys make a good team :D

    • one year ago
  2. Arnab09
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    u have to use definite integration to find the exact area under the curve

    • one year ago
  3. Arnab09
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    u can get the picture of the graph here: http://www.wolframalpha.com/input/?i=y%3D%28x-3%29%5E2%2B2

    • one year ago
  4. Callisto
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    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

    • one year ago
  5. Callisto
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    But seems it's not correct...

    • one year ago
  6. Math4Life
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    Oh

    • one year ago
  7. Math4Life
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    How so?

    • one year ago
  8. Math4Life
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    kk

    • one year ago
  9. Callisto
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    Or this may help http://openstudy.com/study#/updates/4fafa089e4b059b524fa879a

    • one year ago
  10. shivam_bhalla
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    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.

    • one year ago
  11. Math4Life
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    You took that from algebra.com

    • one year ago
  12. shivam_bhalla
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    Case 2:- |dw:1337244703718:dw|

    • one year ago
  13. shivam_bhalla
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    @Math4Life , yes frankly

    • one year ago
  14. Math4Life
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    re-write B, because b is what i dont understand so re-write it in ur own words

    • one year ago
  15. shivam_bhalla
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    I drew the graph on my own to explain that solution

    • one year ago
  16. shivam_bhalla
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    @mat|dw:1337244925605:dw|

    • one year ago
  17. shivam_bhalla
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    @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|

    • one year ago
  18. Math4Life
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    Thanks everyone! I'm so tired! Night!!

    • one year ago
  19. shivam_bhalla
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    yw and good night :)

    • one year ago
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