Consider a triangle having vertices at A (0,2), B (5,10) and C (3,4). Scale the triangle using scaling factors Sx = 2 and Sy = 4 about The origin about the reference point (2,3).

Draw Edge List Structure, Adjacency List Structure and Adjacency Matrix Structure representation of the following graph: e23 3 e24 14 4

Find the curvature of r(t)=(3t,t^2,t^3) and the point (3,1,1).

Using Matlab computer software, write the code to plot the surface z = e. %3D After writing the code, describe this surface. You can use a set of values between -5 to 5 for your operations.

Consider the following edge-weighted digraph with 8 vertices and 13 edges. V->W weight A->E 1 A->B B->C C->F 4 C->D D->G F->E 39 23 F->B 26 F->A 16 G->F G->C 40 34 H->D 95 H->G 17 Here is a graphical representation of the same edge-weighted digraph: (A) -3---->(B) -39-->(D) 16 95 (E)- -23- (F). 40 (G) (H) Suppose that you run the Bellman-Ford algorithm to compute the shortest paths from H to every other vertex. What is the distTo[] array immediately after the end of three passes of the algorithm (pass 1, 2, and 3)? Each pass consists of relaxing the 13 edges in the order given above. Here is the distTo[] array before the beginning of pass 1: v A B CDE F H. distTo(v] Answer Your answer should be a sequence of 8 integers, separated by whitespace,

What is the length of the polar curve below? 3π r = 6 cos (0) for 00< 4

Create a Python implementation of the provided image using the criteria below:Iteratively removes the edge with the highest weight from T until the specified number of 4 clusters is obtained after first creating the MST T of the provided weighted graph in Figure. It should be noted that this algorithm can be easily modified to evaluate edge weights of T that are greater than.