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Find the smallest positive integer so that the remainder when it is divided by $17,15,13$ is $3,2,1$ respectively. This question can be solved using Chine...
I know the formal definition of a derivative of a complex valued function, and how to compute it (same as how I would for real-valued functions), but afte...
The parametric equation $$\begin{align*} x(t) &= \cos t\\ y(t) &= \sin t \end{align*}$$ traces the unit circle centered at the origin ($x^2+y^2=1$...
I've tried to boil down my problem as much as possible. I've got two questions, but really I'd be satisfied enough just knowing how to acco...
I have a math problem that I am a little "iffy" on. 1: Find the slope of the curve at point $P(1,4)$ and find the equation of the tangent line at P. $y=5-...
Consider the function $f(x,y)=2xy-x^3-y^2$. One of the stationary points is $(0,0)$. At this point, $f_{xx}f_{yy}-f_{xy}f_{yx}<0$. According to me, thi...
I can derive the sin, cos and tan half angle formulas from the cosine double angle formula. But I'm having trouble deriving the sine half angle formu...
I am really struggling with understanding the Jacobi Identity. I am not struggling with verifying it or calculating commutators.. I just can't see th...
We know that the $\sqrt 2$ is an irrational number. Doing $\sqrt {.2} \approx .4472135955...$ in Wolfram Alpha gives the decimal approximation but it does...
I can't figure out how to simplify this polynominal $$5x^2+3x^4-7x^3+5x+8+2x^2-4x+9-6x^2+7x$$ I tried combining like terms $$5x^2+3x^4-7x^3+5x+8+2x^2...
