dashdart
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 Jan 10 comment Group theory class equation help? what do you mean by $(i \in I)$? Jan 9 comment Evaluating $\int\sqrt{150^2-x^2} \cdot dx$ yes i do understand that, i just wanted the OP to know what really was going on. By the way, your answer, though neat, does lack a bit of description. It would've been better if you had elaborated a bit more. Maybe you had no time whilst writing down the answer but still, it would have avoided discussions like ours :) Jan 9 awarded Nice Question Jan 8 comment Evaluating $\int\sqrt{150^2-x^2} \cdot dx$ It's the same thing if you do it this way or by directly substituting $x = 150sint$. In fact, the method you suggested is just an un-required step into getting the same answer. Say you replaced $x$ with $150\cdot y$. Then you'd get something like $\sqrt{150^2-150^2\cdot y^2} = 150\sqrt{1-y^2}$. You then end up at the same place where Clive started. Hope it helps! Cheers Jan 8 asked Why is this definition of an additive inverse significant Dec 31 awarded Nice Question Dec 30 awarded Teacher Dec 30 comment Why does the Dedekind Cut work well enough to define the Reals? Thank you for a more rigorous proof. I think I need to get used to such rigor in my mathematics(as opposed to the "less rigorous" mathematics at high school) , and this was very helpful. Thank you. I hope I am not rushing into things but I am enjoying my ride so far :) Dec 30 awarded Editor Dec 30 comment Why does the Dedekind Cut work well enough to define the Reals? Believe it or not it did help a bit. Thanks anyway! Dec 30 revised Why does the Dedekind Cut work well enough to define the Reals? added 326 characters in body; edited tags Dec 30 asked Why does the Dedekind Cut work well enough to define the Reals? Dec 30 awarded Scholar Dec 30 accepted Basic Question on Gradients Dec 24 revised Basic Question on Gradients edited tags Oct 2 awarded Supporter Oct 2 asked Basic Question on Gradients May 29 awarded Student May 28 awarded Autobiographer