Recent content by F for Freedom

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    How can I graph sqrt(x^2 + 1) without using derivatives?

    Mark44, HallsofIvy, and djeikyb, thanks for your posts. It really helped clear this up for me, and I followed everything you guys said. Thanks again.
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    How can I graph sqrt(x^2 + 1) without using derivatives?

    Yes. I'm sorry I should have been more explicit in my first post. While I have taken calculus, I was just curious to know if there were any methods of graphing this without falling back on taking the derivatives (because that would just be too easy ;p). What I mean by "methods of graphing...
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    How can I graph sqrt(x^2 + 1) without using derivatives?

    Hi all, I have recently begun to try and graph most of the functions I see by hand without resorting to the use of my graphing calculator. However, I am having a problem trying to begin to graph f(x) = \sqrt{x^{2} + 1}. The problem is all I really know is that f(0) = 1. Trying to solve for...
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    Proof regarding the algebra of sets.

    Forgive me, but which expression are you referring to? Are you saying that I need to break the proof up by cases and prove that each separate expression in X can be reduced to the formula in the first post? In that case, is there another proof that shows that there is only a finite number of...
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    Proof regarding the algebra of sets.

    I am currently trying to prove the following: An equation in X with righthand member \oslash can be reduced to one of the form (A \cap X) \cup (B \cap ~X) = \oslash. (Where A, B, and X are sets of some universal set U, and ~X is the complement of the set X). The only problem is that I'm...
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    Difficult choice regarding Abstract Algebra

    Hi all. I am currently a Junior attending SUNY-Stony Brook as a math major. This coming fall semester I have a very good opportunity before me: I can either take the undergrad abstract algebra course (textbook: Contemporary Abstract Algebra by Gallian), or I can take the graduate abstract...
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    What is the true meaning of respect?

    fixed. See Socrates and his ideas on what a definition is in respect to what an example of a definition is. "What is respect?" "See that man bowing? That's respect." "No that's not. Thats an example of respect. But what is respect?"
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    Proving Matrix Equality with Inverse Properties

    I don't think you can just pull the Y out like that. If I recall correctly, if XY = I, then doesn't YX = I aswell? If this is true perhaps you could encorporate it into your proof somehow.
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    Calculating Aircraft Speed: Weight vs Thrust

    Well you could use F = ma to find acceleration like you did earlier. Once you have acceleration you could use one of the kinematic equations to help you find the speed. However, if there is acceleration, you need a bit more information, like the time it is accelerating for, or the distance...
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    Solving Physics Problems: Dynamics Troubles

    Hey guys, I'm not in any physics class but I found this Advanced Level Physics textbook (its pretty old, printed in 1987) and found it really interesting. So I'm reading along and doing the problems at the ends of each section. Conceptually I understand (most of) everything but I am having a few...
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