Translating a Parametric Equation for Area Calculation
Consider the parametric curve defined by \(x(t) = 3t + 2\) and \(y(t) = t^2\) for \(t \in [0, 4]\). A translation is made by letting \(u = t – 1\). (a) Express the parametric equations \(x\) and \(y\) in terms of \(u\). (b) Determine the new limits for \(u\) corresponding to \(t = 0\) […]