lab bhattacharjee

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1,254 Answers

newest activity votes
3
Cartesian and Polar Coordinate
3
compute the following integral $\int^{a}_{-a} \sqrt{a^2-x^2}dx$
3
Let $a,b$ and $c$ be real numbers.evaluate the following determinant: |$b^2c^2 ,bc, b+c;c^2a^2,ca,c+a;a^2b^2,ab,a+b$|
3
Simplifying the sum of terms that are “polynomial fractions”
3
Solving for $x$ when $x$ is on both sides including surds.
3
How to prove that the equation $x^2-3y^2=17$ has no integer solutions?
3
Find the smallest positive integer $k$, such that product of $420$ and $k$ is a perfect square.
3
I am trying to solve the inequality $\log_{\log{\sqrt{9-x^2}}} x^2 <0$
3
Solve an equation involving the sine and the inverse tangent
3
Proving:$(1+x)(1+x^2)(1+x^3)\cdots(1+x^n)\ge(1+x^{\frac{n+1}{2}})^n$
3
Get sum to a closed form ideas on how to start
3
Formula for an equation
3
Alternate proof that for every natural number $n,\ \left\lfloor\left(\frac{7+\sqrt{37}}{2}\right)^n\right\rfloor$ is divisible by $3$
3
Determine the remainder when $2^{1930}$ is divided by $840$
3
How to show that: $\gcd\left( {a^n-b^n \over a-b} ,a-b\right)=\gcd(n d^{n-1},a-b )$
3
simple congruence system problem.
3
Evaluating the infinite product $\prod_{k=2}^{\infty }\left ( 1-\frac{1}{k^2} \right ).$
3
Combinatorics alphabet
3
Polynomial Rewriting Proof
3
Find the acute angle $x$ for $\tan x = \tan(x+10^\circ)\tan(x+20^\circ)\tan(x+30^\circ)$.
3
Finding Eccentricity from the rotating ellipse formula
3
Finding range of $\frac{x}{(1-x)^2}$
3
How can I systematically find the roots of $ x^4 + 1?$ Is there some algorithm?
3
How can I find $\sum_{k=1}^{1233}f(\frac{k}{1234})$
3
Inverse Laplace Transform : $ F(s)=\frac{2 \omega^3}{(s^2+\omega^2)^2} $
3
Find b such that $(a+b)^3 - a^3=2007h$
3
Finding the sum of all solutions
3
How to integrate this $\int\frac{\mathrm{d}x}{{(4+x^2)}^{3/2}} $ without trigonometric substitution?
3
Equation to determine radius for a circle that should intersect a given point?
3
Evaluate $\lim\limits_{x \to \infty}\left (\sqrt{\frac{x^3}{x-1}}-x\right)$
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