3. Consider the curve C with parametric equations r(t) = cos(2t), y(t) = sin(t), where -≤t≤ a) Find a Cartesian equation for C. Then make a rough sketch of the curve. b) The curvature к of a curve C at a given point is a measure of how quickly the curve changes direction at that point. For example, a straight line has curvature K = 0 at every point. At any point, the curvature can be calculated by k(t) = (¹ + (2)*)* Show that the curvature of the curve C is: k(t) = 4 (1 +16 sin² t) **

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