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- 1. Give solution, graph and if the point ( 3, y) is equidistant from ( 4, -2 ) and ( -1, 4)(Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.(b) Which of the circuits found in part (a) gives the best solution to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply.
- 3. Determine whether the given graph has a Hamilton circuit. If it does, find such a circuit. If it does not, give an argument to show why no such circuit exists. M.. X2. For the graph G below, determine k dLIO CITY 1. Graph G shown below: a b d f g Identify the following: a. V(G) b. vertices incident to x c. edges incident to a d. vertices adjacent to d e. edges adjacent to y f. p g. E(G) h. shortest path from b to g 2. Is the graph an Euler graph?Why or why not?lf yes, find an Euler tour. A B DIFICAL
- please answer 1(a) and 1(d) also, please show work6) Consider the graph at the right: b. a. (5 pts) Does it have an Euler circuit? (5 pts) Does it have an Euler path? c. (5 pts) Does it have a Hamilton circuit? d. (5 pts) Does it have a Hamilton path? 1 2 4 K 6 7 9 10 11 12 3 13 00 8Determine whether the given graph has a Hamilton circuit. If it does, find such a circuit. If it does not, give an argument to show why no such circuit exist. 31. a 32. a