# function

The question is in the picture.
2. ### Sets functions and iterations

I am new to algebra and help would be more than welcome to tell me if the process I have built is OK, and if my attempt to apply formula on two sets to create a new one is also OK. Context I have a database containing species records (e.g. 10 different species, with 100 rows by species ; in...

12. ### Function Notation to Express a Question

Part B of the following problem seems to be fairly straightforward, but I can't seem to complete it properly. I might be overthinking the problem entirely. Would anyone be willing to help?
13. ### Real-Word function example

1. Write down the mathematical definition of a function. 2. Go out in the "real world" and find some relationship that illustrates the concept of a function. Write a description of this relationship explaining why you think this fits the mathematical definition of a function. 3...
14. ### Limit of postive function with bounded derivative and convergent improper integral

Is it true that for a continuous function X(t) where X(t)â‰¥0 and \int_{-\infty}^{-T}X(s)ds<\infty and X(t) is bounded together with its derivative: \lim \limits_{tâ†’âˆ’\infty} X(t)=0? If so, why?
15. ### Finding the Zeros of This Function

Hi, Any ideas on how to algebraically find the zeros of this function? f(x) = 0.0002x^3 - 0.08x^2 - 5,000 I can graph the function and see that it has a zero at x = 500, however, how can I analytically solve for that value? Is there a trick to factoring a polynomial like this?
16. ### n-multilinear alternating function

I have no idea how to do this problem. Appreciate the help. Thanks!
17. ### Limit with zeta function

Evaluate \lim_{s\rightarrow \infty } \zeta(s)\cdot \zeta(2s)\cdot \zeta(3s)\cdot ...\cdot \zeta(s^2 ) .
18. ### Definite integral of box function

Evaluate integral if [ t + 1]^3 dt from t = 0 to t=x where [.] denotes the box function Please let me know how to proceed
19. ### Gamma function

\Gamma (x+1) =\sqrt{\pi} e^{-x}x^{x} (8x^{3} +4x^{2} +x +1/30)^{1/6} \cdot e^{\lambda (x) }. Where can i find a pdf about this expression of gamma-function.
20. ### A function out of the matrix?

Hi everyone. I have a table of relations between various foods (each with each). Maybe that could be defined as a matrix. Here is a small 4 x 4 example: Rice Soup Ice cream Salad Rice 0 1 2 1 Soup 1 0 2 2 Ice cream 2 2 0 2 Salad 1 2 2 0 (The higher the...