Mathematics

Mathematics

Problem

Consider the curve defined by x=t2−t−2x=t^{2}-t-2 and y=t3−3ty=t^{3}-3t. The curve intersects the yy-axis at points where x=0x=0. If the parameter value at the *positive* intersection is used, find the slope of the tangent at that point. a) 00 b) 33 c) 11 d) 94\dfrac{9}{4}

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