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iop360

  • 2 years ago

how to simplify ((-33Pi)/2) + (1/(1+66Pi)) into -99Pi

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  1. iop360
    • 2 years ago
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    \[\frac{ -33\Pi }{ 2 } + \frac{ 1 }{ 1 + 66\Pi }\]

  2. iop360
    • 2 years ago
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    the answer is -99Pi

  3. iop360
    • 2 years ago
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    how do i this to that

  4. gjhfdfg
    • 2 years ago
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    Solve it step by step

  5. iop360
    • 2 years ago
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    i tried multiplying by the common denominator but it just takes me back to step 1

  6. iop360
    • 2 years ago
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    \[\frac{ -33\Pi(1+66\Pi) + 2 }{ 2(1+66\Pi) }\]

  7. gjhfdfg
    • 2 years ago
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    If I remember right you would have to multiply everything with pi beside it by 3.14, but thats not a promise. Its been awhile since I've worked with problems including pi

  8. iop360
    • 2 years ago
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    i c

  9. iop360
    • 2 years ago
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    btw the original equation was \[y = \sin \left[ x - \tan(\frac{ \Pi }{ 4 }x ^{66}) \right] + x ^{\frac{ 1 }{ 1+66\Pi }}\]

  10. iop360
    • 2 years ago
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    with 1 plugged in

  11. iop360
    • 2 years ago
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    i had to takes its derivative and then narrow it down to what i have now

  12. iop360
    • 2 years ago
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    the answer is -99Pi, but i need to know how it simplified to that

  13. iop360
    • 2 years ago
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    \[y'(1) = \cos \left[ x- \tan(\frac{ \Pi }{ 4 }x ^{66}) \right](1 - \sec ^{2}(\frac{ \Pi }{ 4 }x ^{66}))(\frac{ 33\Pi }{ 2 }x ^{65}) + \frac{ 1 }{ 1 + 66\Pi }x ^{\frac{ 1 }{ x+66\Pi }-1}\]

  14. iop360
    • 2 years ago
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    the x at the end is not an exponent

  15. iop360
    • 2 years ago
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    if you cant see the exponent at the end, it says\[\frac{ 1 }{ 1+66\Pi }\]

  16. iop360
    • 2 years ago
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    subtraced by 1

  17. iop360
    • 2 years ago
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    actually i may have taken the derivative wrong

  18. zepdrix
    • 2 years ago
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    woahh nasty looking problem XD

  19. iop360
    • 2 years ago
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    yea

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