3. A curve \( C \) is defined by the parametric equations \( x = t^3 - 3 \) and \( y = 2t^2 \). Which of the following is the equation for the line tangent to the graph of \( C \) at the point \( (5,8) \)?
Answer is: option3
Solution:
\( y = \frac{2}{3}x + \frac{14}{3} \)