Consider the vector-valued function r(t) = 2 cos t i + 3 sin t j + 4t k, 0 t 4.

a. On paper, sketch the projection of this curve in the xy-plane, labeling the x- and y-intercepts with their values.

b. Also on paper, using right-handed 3D coordinate system with labeled axes, sketch the space curve r(t), and label the endpoints with their ordered triples. Include an arrow indicating the orientation of the curve.

You don't need to make the curve perfect, but give it the right general shape between the endpoints.