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iop360 Group Title

find the x-coordinate of all points on the curve y=36xsin(17x) + 306sqrt3(x^2) -33 domain pi/34 < x < 3pi/34 where the tangent line passes through the point (0, -33)(not on the curve)

  • 2 years ago
  • 2 years ago

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  1. iop360 Group Title
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    \[y = 36xsin(17x) + 306\sqrt{3}x^2 -33\]

    • 2 years ago
  2. iop360 Group Title
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    answers are x1 = 5Pi/102 and x2 = 7Pi/102 i need to know to do get it though

    • 2 years ago
  3. Algebraic! Group Title
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    (f(x) - -33) / x-0 = f'(x)

    • 2 years ago
  4. Algebraic! Group Title
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    plug stuff in, solve for x

    • 2 years ago
  5. iop360 Group Title
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    what does that equation say?

    • 2 years ago
  6. iop360 Group Title
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    is that slope equation?

    • 2 years ago
  7. Algebraic! Group Title
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    rise/run =slope yf-yo / xf-xo = slope of the tangent at (xf,yf)

    • 2 years ago
  8. iop360 Group Title
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    how do i use this to get the x coordinates

    • 2 years ago
  9. Algebraic! Group Title
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    what's f(x)? plug it in. what's f '(x)? plug it in.

    • 2 years ago
  10. iop360 Group Title
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    oh ok thanks

    • 2 years ago
  11. Algebraic! Group Title
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    sure!

    • 2 years ago
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