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 8 Prove that: $\frac{a}{a+1}+\frac{b}{(a+b+1)^2}+\frac{1}{a+b+1}\le1$ 5 Find the constant K in probability distribution? 5 What is the formula for this exponentially growing “stairs”? 5 Probability that the last ball is white? 4 How do you distinguish the difference between a negative sign and a minus sign in Algebra

### Reputation (1,195)

 +5 Inverse Laplace Transform involving $\cosh$. +10 Find if three points in 3-dimensional space are collinear +10 Find the constant K in probability distribution? +10 How do you distinguish the difference between a negative sign and a minus sign in Algebra

### Questions (10)

 21 Math contest: Find number of roots of $F(x)=\frac{n}{2}$ involving a strange integral. 6 Evaluate integral $\int_0^\frac{\pi}{2} \ln\left(\frac{1+a\cos x}{1-a\cos x}\right) \frac{\mathrm{d} x}{\cos x}$ for $\left|a\right|<1$ 5 Test the convergence of: $1+\frac{1}{2}-\frac{1}{3}+\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+\cdots$ 5 Coordinate method for solving first order linear PDE 2 Identify infinite sum: $\sum\limits_{n=0}^{+\infty}\frac{x^{4n}}{(4n)!}$

### Tags (40)

 17 probability × 7 5 graphing-functions 8 contest-math × 4 4 linear-algebra × 2 8 inequality 4 multivariable-calculus × 2 6 algebra-precalculus × 2 4 arithmetic 5 functions × 2 3 vector-analysis

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 Mathematics 1,195 rep 527 Mathematica 275 rep 19 Area 51 151 rep 2 Stack Overflow 124 rep 110 English Language & Usage 105 rep 3