query: How to find $\frac{x}{y}$?
positive_passages.docid: 149686
positive_passages.text: Combinatorics and trigonometry identity
negative_passages.docid: 63750
negative_passages.text: let $f(\frac{x}{3})+f(\frac{2}{x})=\frac{4}{x^2}+\frac{x^2}{9}-2$ then find $f(x)$
negative_passages.docid: 119469
negative_passages.text: Find the limit of $\lim\limits_{(x,y)\to (0,0)} \frac{x^2y^2}{x^2y^2+(x-y)^2}$
negative_passages.docid: 99930
negative_passages.text: Find the Maximum value of $\frac{x}{\sqrt{x+y}}+\frac{y}{\sqrt{y+z}}+\frac{z}{\sqrt{z+x}}$
negative_passages.docid: 48154
negative_passages.text: Find the minimum value of $f(x,y,z)=\frac{x^2}{(x+y)(x+z)}+\frac{y^2}{(y+z)(y+x)}+\frac{z^2}{(z+x)(z+y)}$.
negative_passages.docid: 57686
negative_passages.text: Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
negative_passages.docid: 86634
negative_passages.text: How to find $ \lim_{(x,y)\to(0,0)} \frac{\sin^2 (x-y)}{|x|+|y|} $?
negative_passages.docid: 14952
negative_passages.text: Prove: $\frac{x}{\sqrt{y}}+\frac{y}{\sqrt{x}}\geq \sqrt{x}+\sqrt{y}$
negative_passages.docid: 43385
negative_passages.text: Why is $\frac{\operatorname dy'}{\operatorname dy}$ zero, since $y'$ depends on $y$?
negative_passages.docid: 9746
negative_passages.text: Determine the following limit as x approaches 0: $\frac{\ln(1+x)}x$
negative_passages.docid: 142682
negative_passages.text: Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
negative_passages.docid: 6304
negative_passages.text: Evaluate $\lim_{(x,y) \to (0,0), x+y \neq 0}{\frac{\ln(1-x-y)}{x+y} } $
negative_passages.docid: 62163
negative_passages.text: How to find the factorial of a fraction?
negative_passages.docid: 98653
negative_passages.text: Easiest way to solve $y''+y=\frac{1}{\cos x}$
negative_passages.docid: 73786
negative_passages.text: Limit of $\frac{\sin(x+y)}{x+y}$ as $(x,y) \to (0,0)$
negative_passages.docid: 38804
negative_passages.text: Wrong Wolfram|Alpha limit? $ f(x,y) = \frac {xy}{|x|+|y|} $ for $(x,y)\to(0,0)$
negative_passages.docid: 1641
negative_passages.text: Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$