# Recent content by UltimateSomni

1. ### Counting Question Concerning Circular Arrangements

All right, I thought so. Well we did a similar one that my notes give an odd answer for. Homework Statement "How many ways are there to seat 5 boys and a 5 girls at a round table so that boys and girls alternate? Homework Equations For circular arrangements, (n-1)! possible arrangements The...
2. ### Counting Question Concerning Circular Arrangements

Homework Statement I have two questions. I'm not sure if I'm allowed to post two at once so I'll start with one "Twenty boys and twenty girls are to take a ride on a Ferris wheel with twenty pods. How many ways can they be arranged if each pod is to contain one boy and boy girl" Homework...
3. ### Graph Theory: Finding the number of vertices

Okay, you're right some of my answers for c don't make sense. But neither do 10 or 40.
4. ### Graph Theory: Finding the number of vertices

I copy pasted it. I mean none of the book really makes any sense. It seems you're better off flipping a coin or using a random number generator than figuring it out.
5. ### Graph Theory: Finding the number of vertices

Homework Statement 1. How many vertices will the following graphs have if they contain: (a) 12 edges and all vertices of degree 3. (b) 21 edges, three vertices of degree 4, and the other vertices of degree 3. (c) 24 edges and all vertices of the same degree. Homework Equations "Theorem 1 In...
6. ### Euler's Approximation

Yup, I knew whatever error I made it had to be as obvious as possible. Thank you so much.
7. ### Euler's Approximation

Homework Statement y'+y=3+x y(0)=1 (a) Find approximate values of the solution of the given initial value problem at t = 0.1, 0.2, 0.3, and 0.4 using the Euler method with h = 0.1. Homework Equations yn+1 = yn + f(x0, y0)(x-x0). Adjusting 0 for the next number as we go up The Attempt at a...
8. ### Identities sin, cos, tan etc. stuff

All right got it
9. ### Identities sin, cos, tan etc. stuff

Okay it equals (1+sinx)(1+sinx) still no way to get to 2secx
10. ### Identities sin, cos, tan etc. stuff

Okay it equals (1+sinx)(1-sinx) still not way to get to 2secx
11. ### Identities sin, cos, tan etc. stuff

Then what simplifying is there to do?
12. ### Identities sin, cos, tan etc. stuff

(1-sinx^2) +1 + sinx +1 - sin x (1- sinx^2) +2 / (1+sin x)(cos x) I don't see how that helps
13. ### Identities sin, cos, tan etc. stuff

Yes, the answer being 2 sec x
14. ### Identities sin, cos, tan etc. stuff

Homework Statement ((cos x)/(1+sin x))+((1+sin x)/(cos x)) Homework Equations The Attempt at a Solution multiplied the left equation by (cos x)/(cos x) and the right fraction by (1+sin x)/(1+sin x) get ((cosx)^2 +(1+sinx)^2) / (1+sinx) (cos x) and I have no idea where to go from here
15. ### Optimization (I believe it's called) word problems

got it, I hope I understand the other ones now