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    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...
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    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...
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    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. U

    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. U

    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...
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    Euler's Approximation

    Yup, I knew whatever error I made it had to be as obvious as possible. Thank you so much.
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    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. U

    Identities sin, cos, tan etc. stuff

    Okay it equals (1+sinx)(1+sinx) still no way to get to 2secx
  9. U

    Identities sin, cos, tan etc. stuff

    Okay it equals (1+sinx)(1-sinx) still not way to get to 2secx
  10. U

    Identities sin, cos, tan etc. stuff

    Then what simplifying is there to do?
  11. U

    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
  12. U

    Identities sin, cos, tan etc. stuff

    Yes, the answer being 2 sec x
  13. U

    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
  14. U

    Optimization (I believe it's called) word problems

    got it, I hope I understand the other ones now
  15. U

    Optimization (I believe it's called) word problems

    so then how do I fix it to get a reasonable answer
  16. U

    Optimization (I believe it's called) word problems

    so let's call d a one collar increase so c=300+10d what's the other equation then
  17. U

    Optimization (I believe it's called) word problems

    d is a 10 dollar increase. d=10 is a 100 dollar increase
  18. U

    Optimization (I believe it's called) word problems

    I all ready know what the answers is. It increases until 330 (30 dollars increase) and then begins to decrease. It's a parabola from 300 to 360. But I just can't find a way beyond trying numbers to solve it
  19. U

    Optimization (I believe it's called) word problems

    Homework Statement A real estate company owns 180 apartments, which are fully occupied when the rent is $300. The company estimates that for each $10 increase in rent, 5 apartments will become unoccupied. What rent should be charged so that the company will receive the max income? Homework...
  20. U

    Practicing for SAT Math and had my first four part miserable failure sequence

    I don't see why there is a limit to what h and k can equal.
  21. U

    Practicing for SAT Math and had my first four part miserable failure sequence

    2. Got it, 2,5 sqrt 29 is the only one that fits the 4:10 ratio 3. Didn't realize it was that obvious 4. Okay the makes sense. Still no idea what to do on the first one
  22. U

    Practicing for SAT Math and had my first four part miserable failure sequence

    For these four practice problems, I had little idea what the hell to do (plugging in seemed worthless), could anyone help? Sorry if this isn't what the board is suppose to be used for. Answers in spoiler tags. If k and h are constants and x2+kx+7 is equivalent to (x+1)(x+h), what is the value...
  23. U

    Java Pictures not showing up (Java)

    The error: "Exception in thread "main" java.lang.NullPointerException at javax.swing.ImageIcon.<init>(ImageIcon.java:167) at Buttons.<init>(Windows.java:12) at Buttons.main(Windows.java:38) Java Result: 1" The Windows.java code: _______________________________________ import...
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    Math.PI comes up with cannot find symbol error

    public class Pi leads to the same error in the command prompt It works for the IDE though.
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    Math.PI comes up with cannot find symbol error

    Math.PI comes up with "cannot find symbol" error class Pi { public static void main (String[] args) { float radius=Float.parseFloat(args[0]); float shortPi=(float) Math.PI; float circ= shortPi *(radius+radius); float area= shortPi *(radius*radius); System.out.print("with Pi...
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