Pedantic On Mathematical Software (Middle School Algebra)

Pedantic On Mathematical Software (Middle School Algebra)

17:37:00  

This time Maple get it wrong while Wolfram get it flawlessly. Consider the following middle-school level problem: Solve the following equation on $x$ $$\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1$$ Solution: The equation is equivalent to $\sqrt{\left(\sqrt{x-1}-2\right)^2}+\sqrt{\left(\sqrt{x-1}+3 \right)^2}=1$ so that we have $$\left|\sqrt{x-1}-2\right|+\left|\sqrt{x-1}-3\right|=1$$ We divide into three cases: i) When $\sqrt{x-1}< 2$ then we have...

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Pedantic on Mathematical Software [Trap Limit]

Pedantic on Mathematical Software [Trap Limit]

08:11:00  

Wolfram Alpha result for $$\lim_{x\rightarrow 0}\frac{\sin \left(x\sin\left(\frac{1}{x}\right)\right)}{x\sin \left(\frac{1}{x}\right)}$$ is "No result found in terms of standard mathematical functions" while Maple clearly says  the limit is  "Undefined".  Notice that Wolfram Alpha will say "The Limit Does Not Exist" for $\lim_{x\rightarrow 0} \sin \left(\frac{1}{x}\right)$. Indeed Maple is right, the limit...

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Soal Persamaan Fungsi

Soal Persamaan Fungsi

20:07:00   Olimpiade Matematika,

Sebenarnya post ini cuma mau nge-test LaTex di Dynamic View nya blogger. Tapi ya sekalian kasi soal-Soal Fungsi berikut saya anggap susah. Source nya nggak disebutkan, ada yang saya tahu ada yang saya lupa  (itung-itung buat yang mau latihan bisa ngilangin temptation untuk nge-browse solusinya di Mathlinks :D...

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