English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

(32, 6) (48, 14) (64, 24) (80, 38) (96, 55) (112, 75)

Ok, so I need to make a function based on this information. This is urgent, and I've spent like, 2 hours on this, so I'm pretty desperate for some help.

2007-04-15 19:21:12 · 8 answers · asked by ? 4 in Science & Mathematics Mathematics

8 answers

thats a tuffy!

the first number inside the parenthesis goes up by 16 from the previous number, but the 2nd number inside the parenthesis has no pattern....

if you plug the numbers into excel and ask for an equaiton it gives you...

y(x) = 0.0058x^2.0076

so since you know "x" increases by 16 each time, you could easily find "y". try it!!! plug in a value for x, such as 32

2007-04-15 19:39:57 · answer #1 · answered by Jaime H 2 · 0 0

The x's differ by 16 each time so

x(t) = 16 + 16t

For the y's it's a different story. Let's take repeated differences. The numbers for y are in the first column. The first differences are in the second column. If they had all been equal there would have been a linear relationship between x and y. The second differences are in the third column. If they had all been equal there would have been a quadratic relationship between x and y. And so on.

6
14 .....8
24 .. 10 .. 2
38 .. 14 .. 4 .. 2
55 .. 17 .. 3 . -1 . -3
75 .. 20 .. 3 .. 0 .. 1 .. 4

Alas, no column of differences were all equal prior to column 6. Therefore no polynomial of degree less than 5 will fit the data exactly.

2007-04-15 21:38:51 · answer #2 · answered by Northstar 7 · 0 0

The first coordinates are evenly spaced. Take the differences of the y-coordinates; then take the differences of those differences, and so on, until they all come out the same (if they do). These differences, divided by the factorial of the row number (1, 2, 6, 24, etc.) will lead you to the cooeficients of a polynomial equation. Note that the first differences are essentially first derivatives, and so on.

2007-04-15 19:35:42 · answer #3 · answered by norcekri 7 · 0 0

You can use a complicated polynomial that fits exactly.
I know two equivalent methods, the Lagrange interpolation and Newton's divided difference method.The answer will be a polynomial of degree 5.

Refer to the sites in the source section for them.

2007-04-15 19:35:10 · answer #4 · answered by tanyeesern 2 · 0 0

yeah they could be brother and sister. B's sis in regulation could be A's sis. V's grandpa could be A's father. G is grandma. G had a daughter T, additionally a son A, dont forget. So thats it.

2016-11-24 21:53:58 · answer #5 · answered by Anonymous · 0 0

What topic are you studying? exponential? lines? parabolas?

It looks parabolic to me.
Must it be exact?

This is an approximation that is VERY close
y=.00614x^2-.02321x+0.6

If you need exact, you might have to go as high as 5th degree.
I did the finite difference and to "it" exactly, you wil need the full 5th degree.

????



give more info if you need dif't answer.

not clear what you need?

2007-04-15 19:39:07 · answer #6 · answered by Anonymous · 0 0

x values are linear but y values are increasing in an exponential manner as e^x or e^1/x

2007-04-15 20:00:56 · answer #7 · answered by lahomaokie 2 · 0 0

y = 0.0058x^2.0076

2007-04-15 19:40:08 · answer #8 · answered by Brian L 2 · 0 0

fedest.com, questions and answers