## akl3644 Group Title if f(x) approximate g(x) within 1/3000 for 10<x<12 then integral f(x)dx from 10 to 12 approximates integral g(x)dx from 10 to 12 to how many accurate decimals 2 years ago 2 years ago

1. satellite73 Group Title

you always come up with the damndest questions but lets say $$f(x)=0$$ and $$g(x)=\frac{1}{3000}$$ which is as far as it can be then $\int_{10}^{12}f(x)dx=0$ and $\int_{10}^{12}\frac{1}{3000}=\frac{2}{3000}$

2. satellite73 Group Title

a more sophisticated way to answer would be to say that $\int f -\int g =\int (f-g)\leq \int \frac{1}{3000}=\frac{2}{3000}$

3. satellite73 Group Title

an even more sophisticated way to answer would be to use absolute values, but enough already

4. satellite73 Group Title

did you get an answer to that series with the squares? that bedevilled me for a while

5. akl3644 Group Title

the series with squares? which one..i don't even remember..lol

6. satellite73 Group Title

$x+2^2x^2+3^2x^3+4^2x^4+...$

7. satellite73 Group Title

or maybe it started with 1, i don't remember but i could not figure out how to get that square there

8. akl3644 Group Title

i think the series is e^x expansion and minus first two term....lol right?

9. satellite73 Group Title

yeah right your questions vary from more or less immediately obvious to wtf with very little in between

10. satellite73 Group Title

maybe a bi-polar professor?

11. akl3644 Group Title

i don't know ..i'm taking an online calculus...it's really frustrate me