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4. (15 pts) Find \( \frac{d y}{d x} \) and the equation of the tangent line on the curve parametri ...
4. (15 pts) Find \( \frac{d y}{d x} \) and the equation of the tangent line on the curve parametrized by \( \left\{\begin{array}{l}x(t)=t^{2}+1 \\ y(t)=t^{2}-t\end{array}\right. \) where the tangent line has slope \( -\frac{1}{2} \). (Use exact values and write the equations in slopeintercept form)