If $a_1^2+ a_2^2+ a_3^2+ a_4^2$ = 1 and $a_1+a_2+a_3+a_4=0$ find the maximum of given expression
4310
Range of $(a_{1}-a_{2})^2+(a_{2}-a_{3})^2+(a_{3}-a_{4})^2+(a_{4}-a_{1})^2$ is
74222
If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
437
Show that $\lim_{n\to\infty} \sqrt[n]{a^{n} + b^{n}} = \max(a, b)$
5729
If $a^2+b^2+c^2=1$ then prove the following.
67104
Find maximum divisors of a number in range
149700
Prove that $\frac{a_1^2}{a_1+a_2}+\frac{a_2^2}{a_2+a_3}+ \cdots \frac{a_n^2}{a_n+a_1} \geq \frac12$
96127
Maximum of $|\sin(z)|$ as $\{z: |z| \leq 1 \} $
115513
Find the minimum of $\sqrt{(x+1)^2+(y-1)^2}+\sqrt{(x+2)^2+(y+2)^2}+\sqrt{(x-1)^2+(y+1)^2}$ For real $x,y$
117046
Show that $\frac{a^2}{\sqrt{(1+a^3)(1+b^3)}}+\frac{b^2}{\sqrt{(1+b^3)(1+c^3)}}+\frac{c^2}{\sqrt{(1+c^3)(1+a^3)}} \geq \frac{4}{3}$
29424
Maximum value of $\sin A+\sin B+\sin C$?
105873
Construct an algorithm to find the multiple of A such that A%B is maximized
105768
Proof involving absolute value and maximums
77330
Explain this snippet which finds the maximum of two integers without using if-else or any other comparison operator?
140001
Minimum value of $2^{\sin^2x}+2^{\cos^2x}$
65280
If $a, b, c >0$ prove that $ [(1+a)(1+b)(1+c)]^7 > 7^7a^4b^4c^4 $.
140622
Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$
66558
Find the value of $a$ and $b$ if $x+1$ and $x−2$ are factors of $ax^3−4x^2+bx−12$