Recent content by nikk834

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    Solving Lagrange Function: Find Optimal Value

    ok when i solve x, y and lagrange they want me to find this Use the second order condition to determine if the optimal point is maximum or minimum. that means i take the second derivative and how do i determine if it is a max or min?
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    Probability of deck of cards question

    Homework Statement Use probability trees to determine the probability of obtaining,in a deck of cards: two red cards (A-10 hearts or diamonds) and two picture cards (any suit) in any order? Homework Equations The Attempt at a Solution P(1st red card)= 20/52 P (2nd red...
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    Solving Lagrange Function: Find Optimal Value

    dL/dx = 12.25x-42+5y-6L = 0 dL/dy= 5x-28 +2y-5L=0 dL/dL= -(6x+5y-37)=0 So how do you solve for x, y and L
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    Solving Lagrange Function: Find Optimal Value

    I see what you mean now. So there is a 5 in front of the y for the constraint so that means that dy/dl would have to be : 5x-28 +2y-5L=0
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    Solving Lagrange Function: Find Optimal Value

    i just do not know how to solve for x, y and l
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    Solving Lagrange Function: Find Optimal Value

    I am going by an example that the teacher gave us and he said that the dl/dl would just go as -(6x+5y-37)
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    Solving Lagrange Function: Find Optimal Value

    so your saying you would put the dl/dl as -L(6X+5Y-37)=0
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    Solving Lagrange Function: Find Optimal Value

    Ya so the derivative are: dL/dx= 12.25x-42+5y-L dL/dy= 5x-28+2y-L dL/dL=-(6x+5y-37) You then set them to 0 so they are dL/dx= 12.25x-42+5y-L=0 dL/dy= 5x-28+2y-L=0 dL/dL=-(6x+5y-37)=0 Then, could you times the 2nd equation there which is dL/dy by 2 to give you common y terms of 10y?
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    Solving Lagrange Function: Find Optimal Value

    Sure. The function would be:f (x,y) = 3.5x^2+y^2-42x-28y+5xy+190 - backward L(6x+5y-37)
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    Solving Lagrange Function: Find Optimal Value

    I typed out the word lagrange because i do not have the backward L function on my keyboard. It means -backward l . I know how to get the derivative now . I just don't know how to solve for x, y and lagrange(backward l)
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    Solving Lagrange Function: Find Optimal Value

    dL/dx= 12.25x-42+5y-lagrange dL/dy= 5x-28+2y-lagrange dL/dL=-(6x+5y-37) So 12.25x-42+5y-lagrange=0 5x-28+2y-lagrange=0 -(6x+5y-37)=0 What do you do next? Multiple them by a common factor.what do you do with lagrange?
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    Solving Lagrange Function: Find Optimal Value

    I'm not sure. I am having difficulty solving this equation.
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    Solving Lagrange Function: Find Optimal Value

    df/dx=12.25x -42 +5y df/dy=2y-28+5x df/dlagrange = -(6x+5y-37) You make them all equal to 0 so df/dx=12.25x+5y-42=0 df/dy=5x+2y-28=0 df/dlangrange=6x+5y-37=0 Is this right? then you find a common factor between the first two equations in order to solve for x and y? how do you find lagrange?
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    Probability of card shuffling homework

    Homework Statement A deck of cards is shuffled and a card is dealt. The remaining cards are shuffled and another card is dealt. The process is repeated until you have four cards dealt from the main pack. Use probability trees to determine the probability of obtaining: four red cards (not...
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