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iop360

  • 2 years ago

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)

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

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

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

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

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

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

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

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

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

  10. iop360
    • 2 years ago
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    oh ok thanks

  11. Algebraic!
    • 2 years ago
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    sure!

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