Deep_Television

# 75 Questions

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### Strategies for proving that a critical point is neither maximum nor minimum

Jun 4 '19 at 2:00 Deep_Television 733
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### Let $w \in G_{24}$ be a primitive root. Find every $n \in \mathbb{N}$ such that $w^{15n} + \sum^{11}_{i=1} \overline{w}^{2i+6}$ is purely imaginary.

Jun 22 '19 at 6:14 Deep_Television 733

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### For all $n\in \mathbb{N}$, find the values for$\big( \sum_{i=1}^{n} (-1)^i i! \big) \mod 36$

May 8 '19 at 23:23 Deep_Television 733

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### Find all $a$'s such that $\lim_{(x,y)\to (0,0)} x^4(y-1)\ln\big(1+\frac{1}{x^2+y^2}\big)+ a \frac{\sin(x)y^{3/2}}{(\sqrt{x^2+y^2})^3} = 0$

May 4 '19 at 6:57 Deep_Television 733

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88
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### Find the extrema of $f(x,y) = e^{1/x^2y}$ (defined as $f(x,y)=0$ when $xy=0$)

Jun 4 '19 at 21:28 Deep_Television 733

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