Recent content by Jules18
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Why Does the Integral of 1/(sqrt(u^2-4)) Lead to a Natural Log Function?
Really? the equality I posted is straight from my prof's answer key. ... Also, I'm not sure I understand what you mean by cosh^2(t). Is that another way of expressing cos^2(ht)? In that case I thought cos^2(x) + sin^2(x) = 1, so how could cos^2(x) - 1 = sin^2(x) ? I was thinking it...- Jules18
- Post #7
- Forum: Calculus and Beyond Homework Help
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Why Does the Integral of 1/(sqrt(u^2-4)) Lead to a Natural Log Function?
I'm sorry about the latex. I edited it but the changes aren't showing up. Hope you can still decipher it. The latex program is ridiculously glitchy, but I'm sure I'm not the first person to say that.- Jules18
- Post #2
- Forum: Calculus and Beyond Homework Help
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Why Does the Integral of 1/(sqrt(u^2-4)) Lead to a Natural Log Function?
\int\stackrel{du}{\sqrt{u^{2}-4}} = ln(u + sqrt.(u2-4)) My answer key makes the jump directly from that integral to that natural log fxn, which would make sense to me if only the "u +" weren't inside the brackets of the ln fxn. Does anyone know where it comes from?- Jules18
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- Integral
- Replies: 10
- Forum: Calculus and Beyond Homework Help
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Frozen in Time: Remarkable Mammoth and Rhino Discoveries in Alaska and Siberia
Thanks for the replies, guys. The article is actually from this page: http://www.fossils-facts-and-finds.com/how_are_fossils_formed.html The excerpt is under the second subtitle.- Jules18
- Post #8
- Forum: Earth Sciences
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Frozen in Time: Remarkable Mammoth and Rhino Discoveries in Alaska and Siberia
I found this in an article about fossilization and it kind of scared me - doesn't this remind you of the movie The Day After Tomorrow?- Jules18
- Thread
- Replies: 7
- Forum: Earth Sciences
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Answer: Limits of Cos(x)/x^2 as x Approaches 0+
hm okay well I was given this question on an exam, so I figure my prof had a different approach in mind. Is there a simpler way?- Jules18
- Post #14
- Forum: Calculus and Beyond Homework Help
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Answer: Limits of Cos(x)/x^2 as x Approaches 0+
I understand up to = \lim_{x\to 0^+} \frac{-x+{x^3\over 3!}-\cdots}{2x(1-{x^2\over 2!}\cdots)} . I really lost you on that one. Why would that be equal to lim -Sinx/(2xCosx) ??- Jules18
- Post #12
- Forum: Calculus and Beyond Homework Help
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Answer: Limits of Cos(x)/x^2 as x Approaches 0+
Really? I always thought the limit of 1/(x2) would be infinite when x approaches 0.- Jules18
- Post #3
- Forum: Calculus and Beyond Homework Help
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Answer: Limits of Cos(x)/x^2 as x Approaches 0+
Limit as x-->0+ Homework Statement lim (Cosx)1/(x2) x-->0+ The Attempt at a Solution I figured 1/x2 would approach infinity, which and Cos0=1, so the function would approach 1\infty which is \infty, but I was wrong and I got no marks at all for this question. Any help at all...- Jules18
- Thread
- Limit
- Replies: 14
- Forum: Calculus and Beyond Homework Help
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Natural log fxn = negative integral?
ok I get it. the limits are missing, it must be a typo, but otherwise this makes sense to me now thanks- Jules18
- Post #4
- Forum: Calculus and Beyond Homework Help
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Solving Equilibrium Question: Calculate Acetate Ion Concentration
Hey guys, I've tried this question a couple different ways. Please help! Homework Statement Calculate the concentration of the acetate ion (M) in a solution prepared by dissolving 1.00×10-3 mol of HCl(g) in 1.00 L of 1.90 M aqueous acetic acid. Ka = 1.7E-5 And at that point I'm not...- Jules18
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- Equilibrium
- Replies: 1
- Forum: Biology and Chemistry Homework Help
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Is Cosh x > 1 True for All Values of x?
jakncoke, by Exp[x] do you mean ex where e is the constant that's approx. 2.718 ?- Jules18
- Post #4
- Forum: Calculus and Beyond Homework Help
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Limit with trigonometric functions
Homework Statement True or false? lim Tanx/(1-Cosx) = lim Sec2x/Sinx = Infinity (limits are as x approaches \pi from the left) The Attempt at a Solution I tried just plugging \pi into x in the first limit, and I ended up getting 0/2, which exists but is just 0. So...- Jules18
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- Functions Limit Trigonometric Trigonometric functions
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Natural log fxn = negative integral?
Homework Statement True or false? ln(1/10) = -\int dx/x The Attempt at a Solution I have no idea where to start on this one. what is dx/x ??- Jules18
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- Integral Log Natural Natural log Negative
- Replies: 3
- Forum: Calculus and Beyond Homework Help
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Is Cosh x > 1 True for All Values of x?
Homework Statement True or false? Cosh x > 1 for all x The Attempt at a Solution the answer is true, and I'm not sure why. if h is a coefficient, then I'm pretty sure I can think of some values of x and h that would be < 1. For instance, if h=1 and x=\pi/3 What does the...- Jules18
- Thread
- Replies: 4
- Forum: Calculus and Beyond Homework Help