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- Suppose two Hamiltonian circuits are considered different if the collections of edges that they use are different. How many other Hamiltonian circuits can you find in the graph in Figure 2.1 that are different from the two shown? Give your answer as a whole number. (a) (b) number of additional Hamiltonian circuits: TOOLS x10' Figure 2.1How many shortest lattice paths start at (2,2) and end at (15,15)?[ Preview end at (15,15) and pass through (10,7)? Preview end at (15,15) and avoid (10,7)? PreviewDraw the Venn diagram with the following information: ANBNC={√2, √-1}, (ANB)NC'={2%⁰, ∞0}, (ANC)NB'={N, Xo}, (BNC)NA'={T, 1010⁰0}, A-(BUC)={~, €, ≤}, B-(AUC)={Z, Ø}, C—(AUB)={ (1+ √5)/2, Q}, and (AUBUC)'={R, 0, 1}
- Please express z directly in terms of u and v. No need to do first part (i.e. Chain Rule)Why the 1st row and 1st column of the JACOBIAN MATRX is always Zero ?A triangle has vertices at L (2,2), M(4,4),and N(1,6).6 The triangle is transformed according to the rule R0,= 180. What is true regarding to this transformation?
- how many shortest lattice paths start at (4,4) and a. ends at (11, 11) b. end at (11, 11) and pass through (6,7) c. end at (11, 11) and avoid (6,7)How many shortest lattice paths start at (4,4) and end at (13,13)?Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image.
- A Hamiltonian path in a network is a closed path thatpasses exactly once through each node in the network before returning to its starting point. Taking a four-city TSP as anexample, explain why solving a TSP is equivalent to findingthe shortest Hamiltonian path in a network.I have a chain rule quesitonUse powers of adjacency matrices to determine the number of paths of th e specified length between the given vertices length 4, v2 and v2