Question: 1. Consider the space curve r(t) == a. Find the range for each of x(t), y(t), and z(t). (3 points) b. Sketch the projections of

 1. Consider the space curve r(t) == a. Find the range

for each of x(t), y(t), and z(t). (3 points) b. Sketch the

1. Consider the space curve r(t) == a. Find the range for each of x(t), y(t), and z(t). (3 points) b. Sketch the projections of the curve onto the xy-, xz-, and yz-planes. Be sure to label your axes. Also, let your answers to part (a) guide you! (6 points) c. Graph the curve on geogebra. Rotate the curve to a view that you think clearly illustrates its shape, and then take a screencap and submit it in the separate question in the WAMAP activity assignment. (2 points) (How to graph a space curve in Geogebra: Use the Geogebra function Curve(x(t),y(t),z(t),t, t_start, t_end) where x(t), y(t), and z(t) are your parametric equations in terms of t, t_start is your starting value for t, and t_end is your ending value for t.)

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