anonymous
  • anonymous
how to simplify ((-33Pi)/2) + (1/(1+66Pi)) into -99Pi
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{ -33\Pi }{ 2 } + \frac{ 1 }{ 1 + 66\Pi }\]
anonymous
  • anonymous
the answer is -99Pi
anonymous
  • anonymous
how do i this to that

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anonymous
  • anonymous
Solve it step by step
anonymous
  • anonymous
i tried multiplying by the common denominator but it just takes me back to step 1
anonymous
  • anonymous
\[\frac{ -33\Pi(1+66\Pi) + 2 }{ 2(1+66\Pi) }\]
anonymous
  • anonymous
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
anonymous
  • anonymous
i c
anonymous
  • anonymous
btw the original equation was \[y = \sin \left[ x - \tan(\frac{ \Pi }{ 4 }x ^{66}) \right] + x ^{\frac{ 1 }{ 1+66\Pi }}\]
anonymous
  • anonymous
with 1 plugged in
anonymous
  • anonymous
i had to takes its derivative and then narrow it down to what i have now
anonymous
  • anonymous
the answer is -99Pi, but i need to know how it simplified to that
anonymous
  • anonymous
\[y'(1) = \cos \left[ x- \tan(\frac{ \Pi }{ 4 }x ^{66}) \right](1 - \sec ^{2}(\frac{ \Pi }{ 4 }x ^{66}))(\frac{ 33\Pi }{ 2 }x ^{65}) + \frac{ 1 }{ 1 + 66\Pi }x ^{\frac{ 1 }{ x+66\Pi }-1}\]
anonymous
  • anonymous
the x at the end is not an exponent
anonymous
  • anonymous
if you cant see the exponent at the end, it says\[\frac{ 1 }{ 1+66\Pi }\]
anonymous
  • anonymous
subtraced by 1
anonymous
  • anonymous
actually i may have taken the derivative wrong
zepdrix
  • zepdrix
woahh nasty looking problem XD
anonymous
  • anonymous
yea

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