Find the area common to the circles x2+y2=4 and x2+y2=4x. Graph it
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Find the area common to the circles x2+y2=4 and x2+y2=4x. Graph it
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- Consider the following graph: What is the chromatic number of this graph?For the graph below determine the minimum number of colors necessary to colorits vertices. Justify your answer, by (i) giving a coloring and (ii) explaining why it is not possibleto use fewer colors. You can represent colors by letters a, b, c, .... To show the coloring, mark eachvertex with its color.Draw a graph G containing the following vertices and edges. V(G) = {0, 1, 2, 3, 4, 5, 6} E(G) = { (0, 1), (0, 2), (0, 3), (2, 1), (2, 4), (5, 1), (5, 3)}
- Please write a complete incidence matrix representation of the digraph. Please show all work and do not copy from other sources.Given an n-sided regular polygon n, return the total sum of internal angles (in degrees). Examples sumPolygon (3) → 180 sumPolygon (4) → 360 sumPolygon (6) → 720Draw the graph that has V(G) = {v1,v2,v3,v4,v5,v6}, E(G) = {e1,e2,e3,e4,e5,e6,e7,e8,e9,e10} and edge - endpoint function as shown. Scan or photograph your graph and upload the file. Edge Endpoints e1 {v1,v2} e2 {v2,v3} e3 {v1,v4} e4 {v2,v4} e5 {v1,v5} e6 {v2,v6} e7 {v3,v5} e8 {v3,v6} e9 {v4,v5} e10 {v5,v6}
- Given vectors :u = (5,2) ; v = (-2,5) w = (0,3) ; q = (10,4)4.1 Calculate the following dot products:u.v ; (u.v).w ; u.(3w) , u.(w-v)4.2 Calculate‖?‖ ; d(u,v) ; ‖? − ?‖24.3 u and v are they orthogonal4.4 u and w are they orthogonal4.5 find c real number that satisfy q = c.u4.6 Deduce that q and u are parallel4.7 Normalize vector wUsing 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.Describe the process of clipping a convex polygon in detail