anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[y = 36xsin(17x) + 306\sqrt{3}x^2 -33\]
anonymous
  • anonymous
answers are x1 = 5Pi/102 and x2 = 7Pi/102 i need to know to do get it though
anonymous
  • anonymous
(f(x) - -33) / x-0 = f'(x)

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anonymous
  • anonymous
plug stuff in, solve for x
anonymous
  • anonymous
what does that equation say?
anonymous
  • anonymous
is that slope equation?
anonymous
  • anonymous
rise/run =slope yf-yo / xf-xo = slope of the tangent at (xf,yf)
anonymous
  • anonymous
how do i use this to get the x coordinates
anonymous
  • anonymous
what's f(x)? plug it in. what's f '(x)? plug it in.
anonymous
  • anonymous
oh ok thanks
anonymous
  • anonymous
sure!

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