Solution Verification: Find Extrema points of the function $f(x,y)=2^{3x+8y}$ that are on $x^2+y^2=1$.
31575
Solving trigonometric equations of the form $a\sin x + b\cos x = c$
99930
Find the Maximum value of $\frac{x}{\sqrt{x+y}}+\frac{y}{\sqrt{y+z}}+\frac{z}{\sqrt{z+x}}$
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
31257
Let $a,b,c>0$ such that $a+b+c=3$, find max/min of $\frac1{a^2+1}+\frac1{b^2+1}+\frac1{c^2+1}$
10068
$f(x,y)= e^{-\frac{1}{x^2+y^2}}$ when $(x,y)\neq (0,0)$ and $f(0,0)=0$.
17175
Problem in solving functional equation $f(x^2 + yf(x)) = xf(x+y)$
71127
How do I find $f(0)$, $f'(0)$, and $f'(x)$ given $f(x+y)=f(x)+f(y)+x^2y+xy^2$ and $\lim_{x\to0}\frac{f(x)}{x}=1$?
149254
Solving $y^3=x^3+8x^2-6x+8$
114844
Global maxima/minima of $f(x,y,z) = x+y+z$ in $A$
49209
Prove $(x+y)(y+z)(x+z)≤\frac8{27}(x+y+z)^3$
58813
Computing $\max_{1/2 \leq x \leq 2} ( \min_{1/3 \leq y \leq 1} f(x,y) )$ where $f(x,y) = x(y \log y - y) - y \log x$.
122329
Determine all functions $f(x)$ such that $f(f(x+y))=f(x)+f(y)$
72769
How find this function $xf(x^2)=f(x),x>0$
87513
Global maximum and minimum of $f(x,y,z)=xyz$ with the constraint $x^2+2y^2+3z^2=6$ with Lagrange multipliers?
103934
Functional Equation (no. of solutions): $f(x+y) + f(x-y) = 2f(x) + 2f(y)$
145152
How to prove that $\frac{x^2}{yz+2}+\frac{y^2}{zx+2}+\frac{z^2}{xy+2}\geq \frac{x+y+z}{3}$ holds for any $(x,y,z)\in[1,2]^3$
44293
Functions satisfying $f\left( f(x)^2+f(y) \right)=xf(x)+y$