Chapter 21.7, Problem 2P

Question 1 20 pts Test data on the bending strength of construction wood poles of various diameter are presented below assuming the same length. Kip- 1000 lbf. Using the following data with 2nd order Newton polynomial interpolation, we want to determine the strength of the material for x=4.9 in. Which data point will be used as x? After you found x0, enter the value of x-xo in the solution. Answer shall be in one decimal place. Distance (in) Strength (kips) 100 3.6 1.1 5.6 3.6 5.6 200 300 400 500

Test data on the bending strength of construction wood poles of various diameter are presented below assuming the same length. Kip- 1000 lbf. Using the following data with 2nd order Newton polynomial interpolation, we want to determine the strength of the material for x=4.3 in. Which data point will be used as x0? After you found x0, enter the value of x-xo in the solution. Answer shall be in one decimal place. Distance (in) Strength (kips) 100 2.7 1 6.8 0.6 5.7 200 300 400 500

2/2. prove that if G is Euler then so is L (G).

Q10. What are the chromatic numbers of the following two graphs? G H A. x(G) = 2 and x(H) = 2 B. x(G) = 2 and x(H) = 3 C. x(G) = 3 and x(H) = 2 D. X(G) = 3 and x(H) = 3 E. x(G) = 4 and x(H) = 3

a/Let G be agraph. Then X (6) > 3 if and only if G has an odd.

Q/Let G be agraph with n vertices,n2 = then G has at least two vertices which are not cut vertices.

Q/ prove that :- For any graph GX (G) A (G) +1

Q/prove that:- An edge only if e e of agraph G is abridge if and is not part of any cycle in G.

Q/ Give an Such that L(G) example of a simple graph G is Euler but G is not.