Recent content by AvgStudent

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    Is the function f(z) = |z|2 differentiable at z0 = a + bi?

    f'(z0)=\stackrel{lim}{x\rightarrow0} \frac{f(z0-z)-f(z0)}{z} Hi, I'm attempting to use the above equation to show where z0 is not differentiable at some point z0 for the equation f(z) = |z|2 I was wondering how I could go about doing this? I tried letting z0 = a + bi, and z = x + yi...
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    Thermodynamics: Pouring Cream into Coffee

    Nvm. I made mistakes ._. I don't know how to delete the post.
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    Thermodynamics: Pouring Cream into Coffee

    I did a general problem of the perfect time to pour cream into coffee. I was hoping someone could check my work It's in the pdf below: docs(dot)google(dot)com/open?id=0Bx8zdkF5WYAbMl80UjI5U2lmdlU Thanks
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    Minimal Fencing for Building a Rectangular Chicken Coop

    Ooh. I didn't catch that. Is there a possible way to create a formula to find x and y relating to N? No matter how I think about it, it doesn't apply to all N.
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    Minimal Fencing for Building a Rectangular Chicken Coop

    I'm sorry, I don't exactly understand your answer. How would that minimize the perimeter? And in the problem it says you have to be as close to, but not more than N.
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    Minimal Fencing for Building a Rectangular Chicken Coop

    A farmer wishes to build a rectangular chicken coop with as close to, but not greater than N square units. He wants to purchase the least amount of fencing possible, but fencing can only be purchase by the integer foot. How does he do this? P = 2x+2y N = xy y=N/x P = 2x + 2(N/x) P' =...
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    Combinatorial Proof of a Recurrence Relation

    So my professor gave us this recurrence relation to prove combinatorially for extra credit, but I was unable to figure it out. h(n) = 5h(n-1) - 6h(n-2) + 1 This was my solution, but I couldn't figure out how to factor in the +1: Let hn be the number of ways to arrange 0,1,2,3,4 on a 1xn...
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