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\textcolor{indigo}{\bold{Solve.}} \int \cos^n x \ dx -
\textcolor{indigo}{\bold{Solve.}} \int \sin^n x \ dx
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\textcolor{indigo}{\bold{Solve.}} The portion of the cone z = \sqrt{x^2 + y^2} below the plane z = 4
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\textcolor{indigo}{\bold{Solve.}} f(x,y) = 2x, C is the line segment from (1,2) to (3,5)
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\textcolor{indigo}{\bold{Solve.}} \sum_{k=0}^{\infty}(-1)^k\frac{6}{k!}
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logistic_guy replied to the thread flow rate.\bold{average \ discharge \ speed} = \frac{\bold{flow rate}}{A} = \frac{0.6}{\pi\left(\frac{0.5}{2}\right)^2} = \textcolor{blue}{3.056 \...
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Sscottbrandon replied to the thread Sequence containing every four-digit combination.Yes, it exists. It’s a De Bruijn sequence for 4-digit combinations over digits 0–9. The minimal linear string is exactly 10,003 digits...
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Agent Smith replied to the thread 0.999... = 1.I don't think 0.999... = 1 is a definition khansaheb. One assigns defs, not prove them. It seem the author of this argument wants to... -
Agent Smith replied to the thread 0.999... = 1.The argument is quite compelling
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0.999... is defined to be equal to 1 within the standard real number system. Hence the result derived above is incorrect.
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logistic_guy replied to the thread puzzle.\bold{OVER} \rightarrow \textcolor{darkblue}{\bold{O}} \textcolor{purple}{\huge\bold{the \ solution \ so \ far}}
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Ttombrooks posted the thread wiki says eccentricity of a sliced conic section is sin(alpha)/sin(beta) without any explanation. Can someone derive this. alpha angle of cone in Geometry and Trig.wiki says eccentricity of a sliced conic section is sin(alpha)/sin(beta) without any explanation. Can someone derive this. alpha is...
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Kkhansaheb reacted to Dr.Peterson's post in the thread Anyone has truly understood the Tower of Hanoi problem's solution using recursion? with
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What part of it confuses you? Why do you think it might not work? -
Kkhansaheb replied to the thread 0.999... = 1.0.999... is defined to be equal to 1 within the standard real number system. Hence the result derived above is incorrect.
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logistic_guy replied to the thread partial differential equation - 9.The next part is very hard to solve. \frac{dx}{x} = \frac{dw}{w - a\sqrt{w^2 - x^2 - y^2}} We have to find a way to get rid of the...
