Find three different surfaces that contain the curve r (t) = 2t i + e^t j + e^ 2t k

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Find three different surfaces that contain the curve

\mathbf{r}(t) = 2t \mathbf{i} + e^t \mathbf{j} + e^{2t} \mathbf{k}