Is the graph Hamilton and Eulerian?
The website says the graph is Hamilton and Eulerian but I think it's wrong.
Ref: https://scanftree.com/Graph-Theory/Eulerian-and-Hamiltonian-Graphs
There is no path that covers all paths only once. Any help? I think the graph is drawn wrongly.
One is 10 and the other is 12.
This is function:
f(x) = 2x for x = 0 to 5 so for x = 5, f(x) = 10
and f(x) = 0 for x < 0
and f(x) = 12 for x more than equal to 5, so f(x) = 12 for x = 5.
So we have 2 values for x = 5. So function is discontinuous.
But if a function has multiple values then it's not continous. Like there must not be any ambiguity.
Example: f(x) = 2x for x = 0 to 5
and f(x) = 0 for x < 0
and f(x) = 12 for x more than equal to 5
is discontinuous at x = 5
Homework Statement
Homework Equations
Solve using limits. Function is continuous if it's graph is continous throughout. here the (x-1) term gets cancelled in numerator and denominator. So we have a continuous graph of (x+1).
The Attempt at a Solution
The (x-1) term gets cancelled from...
This is horrible. I had this question in exam and in the answer sheet they gave the above solution. I wasted ten minutes in the exam trying to solve this question and ended up losing precious time. Now I got 43 out of 100 and won't get admission. Will have to apply again and study again for next...
Homework Statement
Homework Equations
First use equations to find out number of boys n number of girls.
Then use probability concepts.
The Attempt at a Solution
Number of boys + number of girls = 12
Boys = Girls + 2
So we get Boys = 7, girls = 5.
Select more girls than boys in a group of 3...
Thanks. It's a solved example. Have you also used the method in this link
http://mathumatiks.org/subpage-556-Real%20and%20Imaginary%20Parts%20of%20Circular%20.htm
Mathumatiks Website.
Oh yeah. I can't have
_G_G_G_G_G_G_G_
I can't have boys such that between any blank is empty.
Like no:
B G B G G B G B G B G B
So there aren't 7 places for girls to go. There are only 6 places with 2 possibilities
1) Leftmost seat is occupied by boy
2) Rightmost seat is by boy.
Homework Statement
Number of ways in which 6 boys and 6 girls can sit such that no 2 boys and 2 girls are together in a row.
Homework Equations
If there are n different objects in a row, then to place the we have n! ways
If n objects have n1 object of 1 kind then we have
n!/(n1)!
The Attempt...
Should answer be C or D?
I think it's C. Non-isolated singularity means like there are many other singularities neighboring 0 but that's not the case here. At z = 1, the f(z) becomes 0.368.
z = it as t tend to 0
Means e^(+1/t^2) at t tend to 0
means e(1/0) means e^(inf) means inf.
So there is a singularity at t or z = 0
But book answer is B
So can i assume that book answer is wrong?
This is getting more and more complicated.
From what I know,
singularity means function fails to be analytic at the point.
Analytic has 2 conditions:
Ux = Vy
and
Vx = -Uy
Ux is derivative w.r.t x
Uv is derivate w.r.t y
Z = U + iV
Short cut to find out analytic is see if function is going to...