Recent content by Akitirija

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    Where is a solution valid in an initial value problem?

    Thank you very much, pasmith! I just started studying this, so I hope I can ask you one probably very stupid question: What do you mean by "the initial condition"?
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    Where is a solution valid in an initial value problem?

    Thank you, Domenico! I'm not sure I entirely understand it, but maybe it becomes more apparent as I learn more :)
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    Where is a solution valid in an initial value problem?

    Thank you for your answer, Domenico. But is this function not differentiable for all x except 0? And even if there are other points, should the book not mention these points instead of excluding the whole interval after 0?
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    Where is a solution valid in an initial value problem?

    The problem is from Adam's Calculus (7th Ed). It is an initial value problem, and I solved it: \begin{cases} y'=\frac{3+2x^{2}}{x^{2}} \\ y(-2)=1 \end{cases} \\ \implies y=-\frac{3}{x}+2x+\frac{7}{2} I can see that the solution is not valid for x=0, but the book says that the solutions is...
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    Problem books of applications of calculus 1

    Thank you for your suggestion, Flannery! I especially like the CWT Crying Towel :) Unfortunately, after having leafed through some analytical calculus books, I have to agree with you about their problems being "unsolvable", at least for me.
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    Calculating electronegativity differences

    Thank you very much for your quick reply, DrDu!
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    Calculating electronegativity differences

    Hi, everyone! Just a quick question to be sure: I want to calculate the electronegativity difference of Na_{2}O,\ \Delta X_{Na_{2}O}, Is this correct: \Delta X_{Na_{2}O}=X_{O}-X_{Na} Or is it: \Delta X_{Na_{2}O}=X_{O}-2*X_{Na} (since there are 2 Na atoms).
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    Problem books of applications of calculus 1

    Thank you very much, Quantum Braket! I will check out 3000 solved problems in Physics, it sounds like just the book I am looking for.
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    Problem books of applications of calculus 1

    Thank your for the answer, Quantum Braket. I was not being very clear in my question. I was thinking more about a book that follows to some extent the curriculum of Calculus 1. For example, first chapter consisting of limit problems that can be applied in "real life". A physics text would also...
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    Problem books of applications of calculus 1

    Hi there, everyone! I'm sure this question has been asked many times before, but I did not really find any similar posts, so I hope you guys will bear with me! I am teaching myself what could be categorized as Calculus 1, using Adams' "Calculus: A Complete Course" along with "Schaum's 3000...
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    How Do You Calculate Miller Indices for Complex Crystal Planes?

    Homework Statement Determine the Miller indices of the cubic crystal plane that intersects the position coordinates C (1, 1/4, 0), A (1, 1, 1/2), B (3/4, 1, 1/4), and all coordinate axes. The Attempt at a Solution This is an example problem with solution from Foundations of...
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    Understanding L'Hospital's Rule for Calculating Limits

    micromass, thank you so much! That's embarrassing, I think I did too many calculations in one day and just suddenly turned blind! I appreciate your help a lot! Thank you again!
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    Understanding L'Hospital's Rule for Calculating Limits

    Thank you, Shyan and micromass! micromass, I try to avoid L'Hospital (because I do not think one should use a method that one cannot prove), but I thought that one sometimes had to use it, so I am very happy about your answer. I have to admit, though, that I am still struggling with the...
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    Understanding L'Hospital's Rule for Calculating Limits

    $$\lim_{x\to 0} \frac{x}{\sqrt{4+x}-\sqrt{4-x}}=2$$ I plotted this equation into WolframAlpha, and it applies L'Hospital and yields, for the nominator: $$\frac{dx}{dx}=2$$ I do not understand this. I have not learned how to use L'Hospital, but I know basic derivation rules, and I do...
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