Let p be a point on m with gaussian curvature k at p then (a) if k0, the dupin indicatrix is an ellipse; (b) if k 0, the dupin indicatrix is two conjugate pairs of hyperbolas; and (c) if k 0, the dupin indicatrix is two parallel lines if one principal curvature is not zero and is empty if both principal curvatures are zero

You have two photos of a person walking. one shows the person at the corner of third and main streets, the other shows the person at the corner of tenth and main streets. there are lampposts at every corner in this town, and the first picture shows it to be 10: 32: 00 exactly. the second picture shows it to be 10: 49: 30. you know three facts: (1) all of the clocks are synchronized; (2) there are exactly 12 equal-sized blocks per kilometer in this town; and (3) the streets that cross main in this area are numbered consecutively, with no interruptions. what is the person’s average speed in kilometers per hour?