Recent content by rwisz

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    Vector arc length problem

    Thank you. I'm sorry for the nonsensical post, I guess I was way too tired to not have that jump out at me. Again, thank you.
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    Vector arc length problem

    Homework Statement Find Arc Length: r(t)=t^3 i+tj+(1/2)\sqrt{6}t^2k 1\leqt\leq3 Homework Equations The arc length formula: integrate: sqrt((dx/dt)^2+(dy/dt)^2+(dz/dt)^2) dt The Attempt at a Solution I can find the derivative and plug into the formula, it's just the simplification that is...
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    Differentiating a function

    think of (1/3)*sin^3(x) as (1/3)*(sin x)^3 then apply the chain rule :)
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    HS students: what's a 'C' on your grade scale?

    I'm in South Carolina with the Uniform Grading Scale, and that is what we use. GPA is a different animal though, what with APs and IBs and all... I'm not even 100% sure how the GPA's are calculated anymore. I just do what I can and hope for the best.
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    Schools Compare universities

    It does get up to 100 or slightly higher, but it's not too common. Maybe 3 or 4 days a year. It's times like that we're thankful for air conditioning! As I said before, I have not a clue as to the graduate schooling, maybe someone else can aid here.
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    Schools Compare universities

    Cost of living in South Carolina is quite low in general compared to a majority of the United States. I can't quote numbers, you'd have to do some research yourself for that. The college itself has it's system of buses and whatnot, but you are within walking distance of really almost all of...
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    Schools Compare universities

    I live about an hour away from Columbia. I have to say, I do enjoy the atmosphere of South Carolina. The University itself can get VERY hot during the summer, and it's quite humid down here as well so the heat is quite intense (especially since the college is IN the city). BUT starting in...
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    How do I perform these functions without using a calculator? That's a method of computing square roots by hand. That's a method of computing cube roots by hand. [Broken]...
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    Test Taking

    Testing is all about mentality. You've got to walk into that room like you own the place, bordering on arrogance that you know the material so well (even if you don't!). Convincing yourself that you can and will handle this test with relative ease is the ticket! All of this along with having...
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    Infinite series

    most definitely. notice how all terms have the same exponent...
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    Give the Limit

    Ah, yes I was wondering if that was your question. Well the proof exists online... it's not too terribly difficult. To prove that (where x is some constant) \mathop{\lim }\limits_{n \to \infty } (1+\frac{x}{n})^{n} = e^x We first set the limit equal to an arbitrary variable (y for instance)...
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    Give the Limit

    All they've done is given x a value. And since the two expressions are equivalent, when x is a specific value in one expression, to remain equivalent x has the same value in the other. So all your teacher did was substitute -1 for x?
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    Series either converges or diverges

    Have you learned of the Ratio Test yet? It would simplify this problem greatly. Otherwise, just to show that \frac{1}{n^{n}} diverges, that can be re-written as n^{-n} which would not equate to zero using the nth term test for divergence, therefore it DOES diverge. I haven't looked at your...
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    Senior year HS schedule

    That's a good way to put it. I didn't mean it was a cake walk, simply that it was about as easy as any other more advanced level math class. And personally we do a lesson a day (besides 4 or 5 of the more complex topics) and I find it demands the attention which is needed to succeed. So...