For the models shown below, determine whether it is a linear model, an intrinsically linear model, or a nonlinear model. If the model is intrinsically linear, show how it can be linearized by a suitable transformation.
a. \(y=\theta_{1} e^{\theta_{2}+\theta_{3} x}+\varepsilon\)
b. \(y=\theta_{1}+\theta_{2} x_{1}+\theta_{2} x_{2}^{\theta_{3}}+\varepsilon\)
c. \(y=\theta_{1}+\theta_{2} / \theta_{1} x+\varepsilon\)
d. \(y=\theta_{1}\left(x_{1}\right)^{\theta_{2}}\left(x_{2}\right)^{\theta_{3}}+\varepsilon\)
e. \(\theta_{1}+\theta_{2} e^{\theta_{3} x}+\varepsilon\)