For the curve defined parametrically by

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For the curve defined parametrically by x=3t+2,  y=t2−5tx=3t+2,\; y=t^{2}-5t, find the value of tt at which the tangent has slope 12\dfrac12. Hence write the coordinates of the corresponding point on the curve.

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