Show without proof Euler's formula for plane graph

Simplify the equation using the deMorgan's Theorem

- For the following logic functions find their minimal SOP using Karnaugh maps. (a) F =Σx,y,z(1,3,5,6,7) (c) F=Пwxy(1,4,5, 6, 7) (e) F = ПIA.B.C.D(4, 5, 6, 13,15) (b) F=Σw.X.YZ(1,4,5,6,7,9,14,15) (d) FΣw.x.Y.z(0,1,6,7,8,9,14,15) (f) FΣA.B.C.D(4,5,6, 11, 13,14,15)

Give an example of a graph that has an Euler cycle that is also a Hamiltonian cycle.

Using the matlab computer software, write the code to plot the graph y = e" R3 as a surface on You can use a set of values between -5 to 5 for your operations

Derive the first order (one step) Adams Moulton formula and verify that is equivalent to the trapezoid rule.

compair between bisection method and Newton-Raphson method

Given the graph as below. Determine whether it is Eulerian circuit, semi-Eulerian or neither. State the path if Eulerian exists. a b d

Matlab In computer science subject Find the maxima and minima of the given graph 2sint + 0.5t+e