Not quite sure about #1 but x=58°
(dy/dx) has a very similar meaning to delta(y)/delta(x), that is, the ratio of change in Y to a correspondent change in a variable X. The neat thing though, is that for (dy/dx) this analysis is made for variations of X, that is, for delta(x)'s, that are arbitrarily close to 0 (but are NOT 0) and can, therefore, offer us a rate of change in Y in face of a change in X at ANY given point of analysis, instead of an average over a time period as is the case for delta(y)/delta(x).
Let a graph have vertices {L, M, N, O, P, Q, R, S} and edge set {{L,R}, {M,P}, {M,Q}, {N,Q}, {P,R}, {Q,S}, {R,S}} .
Verdich [7]
Answer:
a) The degree of vertex P is 2.
b) The degree of vertex O is 0.
c) The graph has 2 components.
Step-by-step explanation:
a) The edges that have P as a vertice are {M,P} and {P,R}.
b) There is no edge with extreme point O.
c) One of the components is the one with the only vertex as O and has no edges. The other component is the one with the rest of the vertices and all the edges described.
The file has a realization of the graph.