Question 1. Consider the function f(t) = (t + 2 sin(t), 2t + 4sin(t), 3t + 6sin(t)). 1.1. Find the velocity, speed, and direction of f as functions of t. Show your work (this is the justification). [3 points] 1.2. The direction function is not defined for all t. What is its domain (for which t is it defined)? No justification required. [2 points] 1.3. What is the curvature of f? Show your work (this is the justification). [2 points] 1.4. Show that f is on the line passing through (0, 0, 0) and parallel to (1, 2, 3). Bonus points for showing that it parametrization line. TO