Does there exist a regular simple closed curvey in the plane with total curvature less than 2, i.e. such that √, k ds < 2? Select one: O a. Yes, there exists such a curve. In fact, there exists a curve with these properties with constant curvature. O b. Yes, there exists such a curve, but any such curve has non-constant curvature. O c. Yes, there exists such a curve, but any such curve is not convex. No, no such curve exists, by the Jordan curve theorem. O d. O e. No, no such curve exists, by Hopf's Umlaufsatz. O f. No, no such curve exists, by Fenchel's theorem. g. No, no such curve exists, by the isoperimetric inequality. No, no such curve exists, by Green's theorem. No, no such curve exists, by the four vertex theorem. O j. No, no such curve exists, by Gauss' Theorema Egregium. Ok. No, no such curve exists, by the Gauss-Bonnet theorem. Oh. O i.

Cheryl bicycles 12 mph with no wind. Against the wind, she bikes 8 miles in the same time that it takes to bike 14 miles with the wind. What is the speed of the wind? Fill in the table to translate the information from this problem if w represents the speed of the wind. Be sure to use parentheses appropriately, if needed in the expression and do not use any spaces.