# Andreea

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bio website location age member for 1 year, 6 months seen Aug 18 at 19:46 profile views 41

# 16 Questions

 11 Show that there are no functions $f: \mathbb R \to \mathbb R$ which have the intermediate value property and $f(f(x))=\cos^2(x)$ 9 Proving the existence of a point with a certain property for a continuous function 9 Solve the functional equation $f(x)=f\left({x\over 3}\right)+f\left({2x\over 3}\right)$ with $f : [0,\infty) \to \mathbb R$ continuous 4 Find the all the pairs $(n,m) \in \mathbb{N} \times \mathbb{N}$ with the property that $2^n+3^m$ is divisible by $23$. 3 Knowing that $f(x)f(-x)=1$, evaluate the following integral

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# 20 Tags

 0 calculus × 6 0 complex-numbers × 2 0 linear-algebra × 3 0 continuity × 2 0 group-theory × 3 0 integration × 2 0 functions × 3 0 elementary-number-theory 0 matrices × 2 0 abelian-groups

# 3 Accounts

 Mathematics 364 rep 19 English Language & Usage 112 rep 1 Stack Overflow 101 rep