Recent content by 2RIP

  1. 2

    Why Does the Voltmeter Read 20V When the Switch is Turned Off in an LC Circuit?

    Hello, This is just a conceptual question I have for the image below. http://img22.imageshack.us/img22/7489/44840348.jpg If the switch is turned off at t=0, why is the voltage across the voltmeter=20V? I understand that current in all inductors is zero. But wouldn't at t=0, current would...
  2. 2

    Calculating Roulette Probability for Multiple Occurrences in Limited Spins

    Don't you also have to consider the possible order of outcomes? YYYNN YNYNY YNNYY ... etc so 5C3 = 10. Multiple that probability by a factor of 10?
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    Expected value and negative binomial distribution

    Hi Rogerio, Thanks for replying. My intuitive initially gave me something similar to that. Like P(getting first wanted book) = 1 P(getting second wanted book) = 2/3 <-- why is it 1/2?? P(getting third wanted book) = 1/3 But I didn't really get why binomial process was used instead of...
  4. 2

    Expected value and negative binomial distribution

    Hello, Can someone please tell me whether I can use negative binomial distribution for this question. "If there are 3 types of books in a bookstore and each book has an equal probability of being bought. What is the expected number of purchases to get all 3 books?" Using negative...
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    Probability that the driver is from G3

    There are three groups of drivers in a city: G1, G2, and G3. G1 make up 30% of drivers, G2 make up 50% of drivers, and G3 make up the remaining 20% of drivers. P(at least one accident for G1)=0.1 = P(A1) P(at least one accident for G2)=0.3 = P(A2) P(at least one accident for G3)=0.5 =...
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    Domain and Evaluation of Double Integral with Integration by Parts

    Sketch the domain of integration of the integral \int^{1}_{0}dy\int^{1}_{\sqrt{y}} e^{-x^{3}}dx and then evaluate it.
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    Domain and Evaluation of Double Integral with Integration by Parts

    Homework Statement How can i find the integral of \int e^{-x^{3}}dx Homework Equations The Attempt at a Solution I tried using integration by parts, but it doesn't seem to give a nice way to solve either.
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    Momentum & Energy: 10kg Block Hit by 300m/s Bullet

    Homework Statement The non-moving 10-kg block is held frictionlessly inclined at 30 degrees by a stop at point A . A 0.010-kg bullet is moving at 300 m/s hits the block and embeds into it. http://img386.imageshack.us/img386/9305/68906392wf8.jpg I'm unsure which is the horizontal...
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    Second derivatives and local max/min

    Oh right. Thanks for clearing that up HallsofIvy :smile:
  10. 2

    Second derivatives and local max/min

    If f(x,y)= xy+(1/x)+(1/y) I find that fx= y-(1/x2)=0 and fy=x-(1/y2)=0. Solving for coordinates x and y by substituting the equations, I find that y=0 or 1. However, if i try to solve for x-coordinates with y=0, I get an infinity. So does that mean I ignore the possibility of y=0? Another...
  11. 2

    Initial value problems with matrices

    y'-Ay=B dy/dt=B+Ay \int dy/(B+Ay)=\int dt 1/A(ln|B+Ay|)=t+C B+Ay=eA(t+C) y=(eA(t+C)-B)/A Oops, it was -B sorry. I didn't solve for C because you said to solve for general solution? So that would mean only leave it with unidentified constants? um.. but if I solved for C, then the...
  12. 2

    Initial value problems with matrices

    I ended up y= (eAt+CA+B)/A where C is the constant to be solved by initial condition.
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    Initial value problems with matrices

    Wait sorry, after trying the question out. How should I treat the matrix of constants from the beginning? I just ignored it and continued calculating for a general solution, then when it was time to calculate for initial conditions, I couldn't reason to where those constants would've come into play.
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    Initial value problems with matrices

    Yeah, I supposed I would've just done a separable equation with +B. Then initial condition will also be involved with B. So a constant wouldn't require me to use other methods of solving. Thanks for explaining in an apprehensive way.
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    Initial value problems with matrices

    Given y'=[matrix]y + [matrix of constants]. y(0)=[initial conditions] Would I treat the matrix with variation of parameters? Or should I ignore the constants on right hand side and find the general solution. Then when it comes to solving the initial conditions, then do the calculations with it...
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