Joao Noch

 2 Evaluate the maximum area of the rectangle touching the parabola. 1 Expected outcome 1 Show $\lim_{t \to \infty} -t^{x}e^{-t} = 0$ 1 If $x$ is a perfect square and a perfect cube, is $x$ a perfect power of $6$? 1 Suppose $X$ and $Y$ are two sets. How many different one-to-one functions are there? How many functions are not one-to-one?

### Reputation (260)

This user has no recent positive reputation changes

### Questions (6)

 3 Maximum and minimum values of function 2 If $a + \frac{b}{2} + \frac{c}{3} + \frac{d}{4} = 0$ then relevant cubic has root between $0$ and $1$ 1 how to find $\lim_{x\to0}{\frac{|2x-1|-|2x+1|}{x}}=-4$ 1 How many functions have an n-bit input and m-bit output? 0 Average number of guesses for simple game

### Tags (25)

 2 algebra-precalculus × 5 1 conditional-expectation 2 optimization 1 logarithms 1 combinatorics × 2 1 number-theory 1 discrete-mathematics × 2 1 elementary-number-theory 1 limits × 2 1 probability

### Bookmarks (1)

 1 Is there a general theorem to manipulate recursive functions?