In Exercises 4756, find the center and vertices of the ellipse and sketch its graph.
2/12/18 Lecture Arc Length, Curvature Monday, February 12,12:08 PM Challenge: Reparametrize: wrt arc length. Recall: So, the arc length of C is independent of t parameterization: Measuring the "arc length so far" is intrinsic to the curve Ct, but the parameter t is extrinsic to C .t Universal parameter: s arc length so far - The reason why it is the universal parameter is because a value of s represents that you have travelled along that curve by that many units. With t, one must depend on the functions that you use to define, which may make you go faster or slower along the curve. - But, you must make a choice for the beginning of the curve, and also the direction. Find the length of the above