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Ephilo

HELP PLEASE)..Estimate the area of the given function, f(x) = x2 + 1 using 4 inscribed rectangles on the interval [2, 4].

  • one year ago
  • one year ago

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  1. Ephilo
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    @mathsmind this one first tho

    • one year ago
  2. mathsmind
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    what i understand is that we have to integrate between 2 and 4

    • one year ago
  3. mathsmind
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    i am having some problems it says [Math Processing Error]

    • one year ago
  4. mathsmind
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    \[int_{2}^{4} x^2 dx\]

    • one year ago
  5. mathsmind
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    or is it about drawing estimating the area of the parabula using blocks of squares...

    • one year ago
  6. Ephilo
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    i dont know but this one is too hard :( its worth 7.0 pts im so confused, i feel like crying

    • one year ago
  7. mathsmind
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    \[int_{2}^{4} x^2 dx \]

    • one year ago
  8. Ephilo
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    this work is getting to hard for me

    • one year ago
  9. mathsmind
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    well you have to suffere the pain of knowledge and hardship for a better future, we all went through hard times ...

    • one year ago
  10. mathsmind
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    you should fight back and not let the questions beat you ...

    • one year ago
  11. mathsmind
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    i think this question is saying estimate the area using rectangles, on a proper sheet

    • one year ago
  12. mathsmind
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    so first of all we need to divid the interval

    • one year ago
  13. mathsmind
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    what i mean by that is to divide the interval into 4 sub inscribed intervals

    • one year ago
  14. mathsmind
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    let it be 2, 2.5, 3, 3.5 and 4 because they 2 and 4 are included in the interval using square brackets notation...

    • one year ago
  15. Ephilo
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    okay,i'm working on it

    • one year ago
  16. mathsmind
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    are you with me, this is the logic of the question from my understanding

    • one year ago
  17. mathsmind
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    I am sorry that the equation editor is not functioning propely for me, probably due to browser issue, or technical problem with open study...

    • one year ago
  18. mathsmind
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    A = 0.5[f(2)+f(2.5)+f(3)+f(3.5)+f(4)

    • one year ago
  19. Ephilo
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    i'm looking,i'm here trying to understand

    • one year ago
  20. mathsmind
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    so what is f(2)=?

    • one year ago
  21. mathsmind
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    now before that the reason why i divided the intervals by a step of 0.5 is due to the fact that dx = (4-2)/4=0.5, hence 2, 2.5...etc

    • one year ago
  22. mathsmind
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    let me help you on the first one f(2) = (2)^2+1=4+1=5

    • one year ago
  23. mathsmind
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    what is f(3)=?

    • one year ago
  24. mathsmind
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    what is f(2.5)=?

    • one year ago
  25. mathsmind
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    what is f(3.5)=?

    • one year ago
  26. mathsmind
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    and finally what is f(4)=?

    • one year ago
  27. Ephilo
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    give me a coplue mins as i work on finish another problem

    • one year ago
  28. Ephilo
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    i don't understand how you got the f(2)= part

    • one year ago
  29. mathsmind
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    ok i will solve it i am replying to 287489327498732987498237 posts at the same time ... hehehe

    • one year ago
  30. Ephilo
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    lol okay, i can't keep hogging you,ill be working on others as i wait.

    • one year ago
  31. mathsmind
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    now young lady, let's see what your problem is...

    • one year ago
  32. mathsmind
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    step one: dx = (4-2)/4 = 1/2=0.5

    • one year ago
  33. mathsmind
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    step two divide the interval [2, 4] into [2, 2.5, 3, 3.5, 4]

    • one year ago
  34. mathsmind
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    step three find : A = 0.5[f(2)+f(2.5)+f(3)+f(3.5)+f(4)]

    • one year ago
  35. mathsmind
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    f(2) =(2)^2+1=5, f(2.5)=(2.5)^2+1= 7.25. f(3)=(3)^2+1=10, f(3.5)=(3.5)^2+1=13.25, and f(4) = (4)^2+1=17

    • one year ago
  36. mathsmind
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    : A = 0.5[5+7.25+10+13.25+17]=? use the calculator

    • one year ago
  37. mathsmind
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    @Ephilo are you there...?

    • one year ago
  38. Ephilo
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    yes im writing it on paper

    • one year ago
  39. mathsmind
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    you need to understand what we did, it is a numerical integration method ....

    • one year ago
  40. Ephilo
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    i understand

    • one year ago
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