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2 quick questions: one on integration and one on quartics watch

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    2 superquick questions.
    First:
    quick question1.doc

    (question and my working is in that document). Could someone just make sure I'm doing it right.

    Question 2:
    solve y^4-y^3-10y^2-4y+1=0


    I'd really appreciate it if someone could kindly help me.
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    (Original post by hahaha_dontknow)
    2 superquick questions.
    First:
    quick question1.doc

    (question and my working is in that document). Could someone just make sure I'm doing it right.

    Question 2:
    solve y^4-y^3-10y^2-4y+1=0


    I'd really appreciate it if someone could kindly help me.
    As for the first one, your graph appears to be on the right track; however, the function between 0<x<2 is not a straight line. It's a quadratic so your sketch is a bit off.

    For the second part, you're absolutely correct to break it up into multiple integrations and then sum them as you did; however, since the function between 0<x<2 is not a straight line of y=0, you'll need to add in some more integrals.

    Or, you could save yourself some work by thinking about the periodic nature of the function. Since it repeats itself exactly from 0<x<4, 4<x<8, and 8<x<12, how could you do part (ii) with only evaluating the integral of the function once?

    ---

    As for Question 2, I tried to solve it using what methods I knew, but then I couldn't. So I used a calculator to solve it and all of the answers are very weird decimals with really complex exact forms. I have no idea how to go about doing that one. Sorry.
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    I can't get anywhere with Q2 either. Is it possible the coefficients are wrong? Or is it part of some longer question that contains a hint about one of the roots earlier on?
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    (Original post by pokerplayer1191)
    As for the first one, your graph appears to be on the right track; however, the function between 0<x<2 is not a straight line. It's a quadratic so your sketch is a bit off.

    For the second part, you're absolutely correct to break it up into multiple integrations and then sum them as you did; however, since the function between 0<x<2 is not a straight line of y=0, you'll need to add in some more integrals.

    Or, you could save yourself some work by thinking about the periodic nature of the function. Since it repeats itself exactly from 0<x<4, 4<x<8, and 8<x<12, how could you do part (ii) with only evaluating the integral of the function once?

    ---

    As for Question 2, I tried to solve it using what methods I knew, but then I couldn't. So I used a calculator to solve it and all of the answers are very weird decimals with really complex exact forms. I have no idea how to go about doing that one. Sorry.

    Thank you so much! yeh q2 was incorrect. Thanks for your help.
 
 
 
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