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If the tangent at the point open parentheses a t to the power of 2 end exponent comma a t to the power of 3 end exponent close parentheses on the curve a y to the power of 2 end exponent equals x to the power of 3 end exponent meets the curve again at

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  1. open parentheses fraction numerator a t squared over denominator 4 end fraction comma negative fraction numerator a t cubed over denominator 8 end fraction close parentheses
  2. open parentheses fraction numerator a t squared over denominator 4 end fraction comma 8 at close parentheses
  3. open parentheses fraction numerator a t squared over denominator 2 end fraction comma 2 a t squared close parentheses
  4. open parentheses a t squared comma 2 a t close parentheses  

    Answer:The correct answer is: open parentheses fraction numerator a t squared over denominator 4 end fraction comma negative fraction numerator a t cubed over denominator 8 end fraction close parentheses

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