# MathGeek

less info
reputation
111
bio website location Malmo, Sweden age member for 1 year, 9 months seen Nov 9 at 13:33 profile views 70

# 11 Questions

 11 If $2^x=3^y=6^{-z}$ then prove that:$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$ 6 Find the range of: $y=\sqrt{\sin(\log_e\frac{x^2+e}{x^2+1})}+\sqrt{\cos(\log_e\frac{x^2+e}{x^2+1})}$ 5 What is the first non zero digit in 50 factorial (50!)? 5 Find the number of pairwise coprime triples of positive integers (a,b,c) with a

# 323 Reputation

 +5 Solving $\frac{x}{y}$ mod $m$ efficiently? +55 If $2^x=3^y=6^{-z}$ then prove that:$\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$ +5 Definite Integration problem +5 Range of: $\sqrt{\sin(\cos x)}+\sqrt{\cos(\sin x)}$

 0 Calculate:$\displaystyle \int 5^{x+1}e^{2x-1}dx$

# 15 Tags

 0 number-theory × 3 0 factoring 0 functions × 3 0 combinatorics 0 contest-math × 2 0 linear-algebra 0 discrete-mathematics × 2 0 complex-numbers 0 integration × 2 0 trigonometry

# 4 Accounts

 Mathematics 323 rep 111 Stack Overflow 117 rep 5 Physics 101 rep Code Review 101 rep